diff --git a/.github/workflows/build_and_test.yml b/.github/workflows/build_and_test.yml
index cfba7246..911de2ca 100644
--- a/.github/workflows/build_and_test.yml
+++ b/.github/workflows/build_and_test.yml
@@ -1,39 +1,143 @@
-name: Build And Test
+name: CI
 
-on: [push]
+on:
+  workflow_dispatch:
+  push:
+    branches:
+      - main
+  pull_request:
+    branches:
+      - main
+
+permissions:
+  contents: read
+  actions: read
 
 env:
   CARGO_TERM_COLOR: always
-  CARGOFLAGS: --workspace --all-targets --all-features --release
+  CARGO_INCREMENTAL: 0
+
+concurrency:
+  group: ${{ github.workflow }}-${{ github.event.pull_request.number || github.ref }}
+  cancel-in-progress: true
 
 jobs:
-  build:
-    name: Compile code
+  fmt:
+    name: rustfmt
     runs-on: ubuntu-latest
 
     steps:
       - uses: actions/checkout@v4
 
-      - name: Save build artifacts
-        uses: Swatinem/rust-cache@v2
+      - uses: dtolnay/rust-toolchain@stable
+        with:
+          toolchain: nightly
+          components: rustfmt
+
+      - name: Run fmt
+        run: cargo +nightly fmt --all -- --check
+
+  clippy:
+    name: clippy
+    runs-on: ubuntu-latest
+    needs: fmt
+
+    steps:
+      - uses: actions/checkout@v4
+
+      - uses: dtolnay/rust-toolchain@stable
+        with:
+          toolchain: "1.90.0"
+          components: clippy
+
+      - name: Install SP1 system dependencies
+        run: |
+          sudo apt-get update
+          sudo apt-get install -y pkg-config libssl-dev curl ca-certificates
+
+      - name: Install Go (for SP1 native gnark)
+        uses: actions/setup-go@v5
         with:
-          shared-key: "build"
+          go-version: "1.22"
+          cache-dependency-path: "**/go.sum"
 
-      - name: Compile
-        run: cargo build $CARGOFLAGS --verbose
+      - name: Restore caches
+        uses: actions/cache@v4
+        with:
+          path: |
+            ~/.cargo/registry
+            ~/.cargo/git
+            ~/.sp1
+            target
+          key: ${{ runner.os }}-clippy-${{ hashFiles('**/Cargo.lock') }}
+          restore-keys: |
+            ${{ runner.os }}-clippy-
+
+      - name: Install SP1up CLI
+        run: |
+          curl -L https://sp1up.succinct.xyz | bash -s -- -y
+          echo "$HOME/.sp1/bin" >> "$GITHUB_PATH"
+
+      - name: Setup SP1 toolchain
+        run: |
+          sp1up
+          rustc +succinct --version
+
+      - name: Build (prime SP1 assets, release)
+        run: cargo build --locked --release --workspace --all-targets --all-features
 
-  test:
-    name: Test code
+      - name: Run clippy
+        run: cargo clippy --locked --workspace --all-targets --all-features -- -D warnings
+
+  build-and-test:
+    name: build-and-test
     runs-on: ubuntu-latest
-    needs: build
+    needs:
+      - fmt
+      - clippy
 
     steps:
       - uses: actions/checkout@v4
 
-      - name: Restore cached build artifacts
-        uses: Swatinem/rust-cache@v2
+      - uses: dtolnay/rust-toolchain@stable
         with:
-          shared-key: "build"
+          toolchain: "1.90.0"
+
+      - name: Install SP1 system dependencies
+        run: |
+          sudo apt-get update
+          sudo apt-get install -y pkg-config libssl-dev curl ca-certificates
+
+      - name: Install Go (for SP1 native gnark)
+        uses: actions/setup-go@v5
+        with:
+          go-version: "1.22"
+          cache-dependency-path: "**/go.sum"
+
+      - name: Restore caches
+        uses: actions/cache@v4
+        with:
+          path: |
+            ~/.cargo/registry
+            ~/.cargo/git
+            ~/.sp1
+            target
+          key: ${{ runner.os }}-build-${{ hashFiles('**/Cargo.lock') }}
+          restore-keys: |
+            ${{ runner.os }}-build-
+
+      - name: Install SP1up CLI
+        run: |
+          curl -L https://sp1up.succinct.xyz | bash -s -- -y
+          echo "$HOME/.sp1/bin" >> "$GITHUB_PATH"
+
+      - name: Setup SP1 toolchain
+        run: |
+          sp1up
+          rustc +succinct --version
+
+      - name: Build
+        run: cargo build --locked --workspace --all-targets
 
-      - name: Run tests
-        run: cargo test $CARGOFLAGS
+      - name: Test
+        run: cargo test --locked --workspace --all-targets -- --nocapture
diff --git a/.github/workflows/gate-count-badges.yml b/.github/workflows/gate-count-badges.yml
index c05a4e9b..c4db1a0f 100644
--- a/.github/workflows/gate-count-badges.yml
+++ b/.github/workflows/gate-count-badges.yml
@@ -33,8 +33,14 @@ jobs:
         echo "Running gate count..."
         set -e  # Exit on any error
         
-        # Run the example and capture output
-        cargo run --example groth16_gc_gate_count --release -- --json > raw_output.txt 2>&1
+        # Run the example without SP1 soldering to avoid installing SP1 toolchain
+        cargo run \
+          --release \
+          --no-default-features \
+          --features "tracing_max_level tracing_scopes" \
+          --example groth16_gc_gate_count \
+          -- \
+          --json > raw_output.txt 2>&1
         
         echo "Raw output from cargo run:"
         cat raw_output.txt
diff --git a/.gitignore b/.gitignore
index 562ff9da..877960cf 100644
--- a/.gitignore
+++ b/.gitignore
@@ -1,3 +1,4 @@
 /target
 .DS_Store
 /circuit_component_macro/target
+/sp1-soldering-program/target
diff --git a/Cargo.lock b/Cargo.lock
index 59eec446..9dd703e0 100644
--- a/Cargo.lock
+++ b/Cargo.lock
@@ -2,6 +2,32 @@
 # It is not intended for manual editing.
 version = 4
 
+[[package]]
+name = "addchain"
+version = "0.2.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "3b2e69442aa5628ea6951fa33e24efe8313f4321a91bd729fc2f75bdfc858570"
+dependencies = [
+ "num-bigint 0.3.3",
+ "num-integer",
+ "num-traits",
+]
+
+[[package]]
+name = "addr2line"
+version = "0.25.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "1b5d307320b3181d6d7954e663bd7c774a838b8220fe0593c86d9fb09f498b4b"
+dependencies = [
+ "gimli",
+]
+
+[[package]]
+name = "adler2"
+version = "2.0.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "320119579fcad9c21884f5c4861d16174d0e06250625266f50fe6898340abefa"
+
 [[package]]
 name = "aes"
 version = "0.8.4"
@@ -40,6 +66,429 @@ version = "0.2.21"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "683d7910e743518b0e34f1186f92494becacb047c7b6bf616c96772180fef923"
 
+[[package]]
+name = "alloy-consensus"
+version = "1.0.41"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "b9b151e38e42f1586a01369ec52a6934702731d07e8509a7307331b09f6c46dc"
+dependencies = [
+ "alloy-eips",
+ "alloy-primitives",
+ "alloy-rlp",
+ "alloy-serde",
+ "alloy-trie",
+ "alloy-tx-macros",
+ "auto_impl",
+ "c-kzg",
+ "derive_more 2.0.1",
+ "either",
+ "k256",
+ "once_cell",
+ "rand 0.8.5",
+ "secp256k1 0.30.0",
+ "serde",
+ "serde_json",
+ "serde_with",
+ "thiserror 2.0.16",
+]
+
+[[package]]
+name = "alloy-consensus-any"
+version = "1.0.41"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "6e2d5e8668ef6215efdb7dcca6f22277b4e483a5650e05f5de22b2350971f4b8"
+dependencies = [
+ "alloy-consensus",
+ "alloy-eips",
+ "alloy-primitives",
+ "alloy-rlp",
+ "alloy-serde",
+ "serde",
+]
+
+[[package]]
+name = "alloy-eip2124"
+version = "0.2.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "741bdd7499908b3aa0b159bba11e71c8cddd009a2c2eb7a06e825f1ec87900a5"
+dependencies = [
+ "alloy-primitives",
+ "alloy-rlp",
+ "crc",
+ "serde",
+ "thiserror 2.0.16",
+]
+
+[[package]]
+name = "alloy-eip2930"
+version = "0.2.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "7b82752a889170df67bbb36d42ca63c531eb16274f0d7299ae2a680facba17bd"
+dependencies = [
+ "alloy-primitives",
+ "alloy-rlp",
+ "serde",
+]
+
+[[package]]
+name = "alloy-eip7702"
+version = "0.6.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "9d4769c6ffddca380b0070d71c8b7f30bed375543fe76bb2f74ec0acf4b7cd16"
+dependencies = [
+ "alloy-primitives",
+ "alloy-rlp",
+ "serde",
+ "thiserror 2.0.16",
+]
+
+[[package]]
+name = "alloy-eips"
+version = "1.0.41"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "e5434834adaf64fa20a6fb90877bc1d33214c41b055cc49f82189c98614368cc"
+dependencies = [
+ "alloy-eip2124",
+ "alloy-eip2930",
+ "alloy-eip7702",
+ "alloy-primitives",
+ "alloy-rlp",
+ "alloy-serde",
+ "auto_impl",
+ "c-kzg",
+ "derive_more 2.0.1",
+ "either",
+ "serde",
+ "serde_with",
+ "sha2",
+ "thiserror 2.0.16",
+]
+
+[[package]]
+name = "alloy-json-abi"
+version = "1.4.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "5513d5e6bd1cba6bdcf5373470f559f320c05c8c59493b6e98912fbe6733943f"
+dependencies = [
+ "alloy-primitives",
+ "alloy-sol-type-parser",
+ "serde",
+ "serde_json",
+]
+
+[[package]]
+name = "alloy-json-rpc"
+version = "1.0.41"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "d7c69f6c9c68a1287c9d5ff903d0010726934de0dac10989be37b75a29190d55"
+dependencies = [
+ "alloy-primitives",
+ "alloy-sol-types",
+ "http 1.3.1",
+ "serde",
+ "serde_json",
+ "thiserror 2.0.16",
+ "tracing",
+]
+
+[[package]]
+name = "alloy-network"
+version = "1.0.41"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "8eaf2ae05219e73e0979cb2cf55612aafbab191d130f203079805eaf881cca58"
+dependencies = [
+ "alloy-consensus",
+ "alloy-consensus-any",
+ "alloy-eips",
+ "alloy-json-rpc",
+ "alloy-network-primitives",
+ "alloy-primitives",
+ "alloy-rpc-types-any",
+ "alloy-rpc-types-eth",
+ "alloy-serde",
+ "alloy-signer",
+ "alloy-sol-types",
+ "async-trait",
+ "auto_impl",
+ "derive_more 2.0.1",
+ "futures-utils-wasm",
+ "serde",
+ "serde_json",
+ "thiserror 2.0.16",
+]
+
+[[package]]
+name = "alloy-network-primitives"
+version = "1.0.41"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "e58f4f345cef483eab7374f2b6056973c7419ffe8ad35e994b7a7f5d8e0c7ba4"
+dependencies = [
+ "alloy-consensus",
+ "alloy-eips",
+ "alloy-primitives",
+ "alloy-serde",
+ "serde",
+]
+
+[[package]]
+name = "alloy-primitives"
+version = "1.4.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "355bf68a433e0fd7f7d33d5a9fc2583fde70bf5c530f63b80845f8da5505cf28"
+dependencies = [
+ "alloy-rlp",
+ "bytes",
+ "cfg-if",
+ "const-hex",
+ "derive_more 2.0.1",
+ "foldhash 0.2.0",
+ "hashbrown 0.16.0",
+ "indexmap 2.11.4",
+ "itoa",
+ "k256",
+ "keccak-asm",
+ "paste",
+ "proptest",
+ "rand 0.9.2",
+ "ruint",
+ "rustc-hash 2.1.1",
+ "serde",
+ "sha3",
+ "tiny-keccak",
+]
+
+[[package]]
+name = "alloy-rlp"
+version = "0.3.12"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "5f70d83b765fdc080dbcd4f4db70d8d23fe4761f2f02ebfa9146b833900634b4"
+dependencies = [
+ "alloy-rlp-derive",
+ "arrayvec",
+ "bytes",
+]
+
+[[package]]
+name = "alloy-rlp-derive"
+version = "0.3.12"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "64b728d511962dda67c1bc7ea7c03736ec275ed2cf4c35d9585298ac9ccf3b73"
+dependencies = [
+ "proc-macro2",
+ "quote",
+ "syn 2.0.106",
+]
+
+[[package]]
+name = "alloy-rpc-types-any"
+version = "1.0.41"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "fbde0801a32d21c5f111f037bee7e22874836fba7add34ed4a6919932dd7cf23"
+dependencies = [
+ "alloy-consensus-any",
+ "alloy-rpc-types-eth",
+ "alloy-serde",
+]
+
+[[package]]
+name = "alloy-rpc-types-eth"
+version = "1.0.41"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "361cd87ead4ba7659bda8127902eda92d17fa7ceb18aba1676f7be10f7222487"
+dependencies = [
+ "alloy-consensus",
+ "alloy-consensus-any",
+ "alloy-eips",
+ "alloy-network-primitives",
+ "alloy-primitives",
+ "alloy-rlp",
+ "alloy-serde",
+ "alloy-sol-types",
+ "itertools 0.14.0",
+ "serde",
+ "serde_json",
+ "serde_with",
+ "thiserror 2.0.16",
+]
+
+[[package]]
+name = "alloy-serde"
+version = "1.0.41"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "64600fc6c312b7e0ba76f73a381059af044f4f21f43e07f51f1fa76c868fe302"
+dependencies = [
+ "alloy-primitives",
+ "serde",
+ "serde_json",
+]
+
+[[package]]
+name = "alloy-signer"
+version = "1.0.41"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "5772858492b26f780468ae693405f895d6a27dea6e3eab2c36b6217de47c2647"
+dependencies = [
+ "alloy-primitives",
+ "async-trait",
+ "auto_impl",
+ "either",
+ "elliptic-curve",
+ "k256",
+ "thiserror 2.0.16",
+]
+
+[[package]]
+name = "alloy-signer-aws"
+version = "1.0.41"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "66acf5f8745dd935e94855aada39d83b555112872321d9293748424de144897e"
+dependencies = [
+ "alloy-consensus",
+ "alloy-network",
+ "alloy-primitives",
+ "alloy-signer",
+ "async-trait",
+ "aws-config",
+ "aws-sdk-kms",
+ "k256",
+ "spki",
+ "thiserror 2.0.16",
+ "tracing",
+]
+
+[[package]]
+name = "alloy-signer-local"
+version = "1.0.41"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "f4195b803d0a992d8dbaab2ca1986fc86533d4bc80967c0cce7668b26ad99ef9"
+dependencies = [
+ "alloy-consensus",
+ "alloy-network",
+ "alloy-primitives",
+ "alloy-signer",
+ "async-trait",
+ "k256",
+ "rand 0.8.5",
+ "thiserror 2.0.16",
+]
+
+[[package]]
+name = "alloy-sol-macro"
+version = "1.4.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "f3ce480400051b5217f19d6e9a82d9010cdde20f1ae9c00d53591e4a1afbb312"
+dependencies = [
+ "alloy-sol-macro-expander",
+ "alloy-sol-macro-input",
+ "proc-macro-error2",
+ "proc-macro2",
+ "quote",
+ "syn 2.0.106",
+]
+
+[[package]]
+name = "alloy-sol-macro-expander"
+version = "1.4.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "6d792e205ed3b72f795a8044c52877d2e6b6e9b1d13f431478121d8d4eaa9028"
+dependencies = [
+ "alloy-sol-macro-input",
+ "const-hex",
+ "heck 0.5.0",
+ "indexmap 2.11.4",
+ "proc-macro-error2",
+ "proc-macro2",
+ "quote",
+ "syn 2.0.106",
+ "syn-solidity",
+ "tiny-keccak",
+]
+
+[[package]]
+name = "alloy-sol-macro-input"
+version = "1.4.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "0bd1247a8f90b465ef3f1207627547ec16940c35597875cdc09c49d58b19693c"
+dependencies = [
+ "const-hex",
+ "dunce",
+ "heck 0.5.0",
+ "macro-string",
+ "proc-macro2",
+ "quote",
+ "syn 2.0.106",
+ "syn-solidity",
+]
+
+[[package]]
+name = "alloy-sol-type-parser"
+version = "1.4.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "954d1b2533b9b2c7959652df3076954ecb1122a28cc740aa84e7b0a49f6ac0a9"
+dependencies = [
+ "serde",
+ "winnow 0.7.13",
+]
+
+[[package]]
+name = "alloy-sol-types"
+version = "1.4.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "70319350969a3af119da6fb3e9bddb1bce66c9ea933600cb297c8b1850ad2a3c"
+dependencies = [
+ "alloy-json-abi",
+ "alloy-primitives",
+ "alloy-sol-macro",
+ "serde",
+]
+
+[[package]]
+name = "alloy-trie"
+version = "0.9.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "e3412d52bb97c6c6cc27ccc28d4e6e8cf605469101193b50b0bd5813b1f990b5"
+dependencies = [
+ "alloy-primitives",
+ "alloy-rlp",
+ "arrayvec",
+ "derive_more 2.0.1",
+ "nybbles",
+ "serde",
+ "smallvec",
+ "tracing",
+]
+
+[[package]]
+name = "alloy-tx-macros"
+version = "1.0.41"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "f8e52276fdb553d3c11563afad2898f4085165e4093604afe3d78b69afbf408f"
+dependencies = [
+ "alloy-primitives",
+ "darling",
+ "proc-macro2",
+ "quote",
+ "syn 2.0.106",
+]
+
+[[package]]
+name = "android_system_properties"
+version = "0.1.5"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "819e7219dbd41043ac279b19830f2efc897156490d7fd6ea916720117ee66311"
+dependencies = [
+ "libc",
+]
+
+[[package]]
+name = "ansi_term"
+version = "0.12.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "d52a9bb7ec0cf484c551830a7ce27bd20d67eac647e1befb56b0be4ee39a55d2"
+dependencies = [
+ "winapi",
+]
+
 [[package]]
 name = "anstream"
 version = "0.6.20"
@@ -103,8 +552,8 @@ source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "d69eab57e8d2663efa5c63135b2af4f396d66424f88954c21104125ab6b3e6bc"
 dependencies = [
  "ark-ec",
- "ark-ff",
- "ark-std",
+ "ark-ff 0.5.0",
+ "ark-std 0.5.0",
 ]
 
 [[package]]
@@ -116,14 +565,14 @@ dependencies = [
  "ahash",
  "ark-crypto-primitives-macros",
  "ark-ec",
- "ark-ff",
+ "ark-ff 0.5.0",
  "ark-relations",
- "ark-serialize",
+ "ark-serialize 0.5.0",
  "ark-snark",
- "ark-std",
+ "ark-std 0.5.0",
  "blake2",
  "derivative",
- "digest",
+ "digest 0.10.7",
  "fnv",
  "merlin",
  "rayon",
@@ -148,36 +597,74 @@ source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "43d68f2d516162846c1238e755a7c4d131b892b70cc70c471a8e3ca3ed818fce"
 dependencies = [
  "ahash",
- "ark-ff",
+ "ark-ff 0.5.0",
  "ark-poly",
- "ark-serialize",
- "ark-std",
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- "num-bigint",
+ "num-bigint 0.4.6",
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  "rayon",
  "zeroize",
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+[[package]]
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+ "ark-serialize 0.3.0",
+ "ark-std 0.3.0",
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+ "num-traits",
+ "paste",
+ "rustc_version 0.3.3",
+ "zeroize",
+]
+
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+ "ark-ff-macros 0.4.2",
+ "ark-serialize 0.4.2",
+ "ark-std 0.4.0",
+ "derivative",
+ "digest 0.10.7",
+ "itertools 0.10.5",
+ "num-bigint 0.4.6",
+ "num-traits",
+ "paste",
+ "rustc_version 0.4.1",
+ "zeroize",
+]
+
 [[package]]
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 version = "0.5.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
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 dependencies = [
- "ark-ff-asm",
- "ark-ff-macros",
- "ark-serialize",
- "ark-std",
+ "ark-ff-asm 0.5.0",
+ "ark-ff-macros 0.5.0",
+ "ark-serialize 0.5.0",
+ "ark-std 0.5.0",
  "arrayvec",
- "digest",
+ "digest 0.10.7",
  "educe",
  "itertools 0.13.0",
- "num-bigint",
+ "num-bigint 0.4.6",
  "num-traits",
  "paste",
  "rayon",
@@ -186,23 +673,68 @@ dependencies = [
 
 [[package]]
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+version = "0.3.0"
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-checksum = "62945a2f7e6de02a31fe400aa489f0e0f5b2502e69f95f853adb82a96c7a6b60"
+checksum = "db02d390bf6643fb404d3d22d31aee1c4bc4459600aef9113833d17e786c6e44"
 dependencies = [
  "quote",
- "syn 2.0.106",
+ "syn 1.0.109",
 ]
 
 [[package]]
-name = "ark-ff-macros"
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+name = "ark-ff-asm"
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-checksum = "09be120733ee33f7693ceaa202ca41accd5653b779563608f1234f78ae07c4b3"
+checksum = "3ed4aa4fe255d0bc6d79373f7e31d2ea147bcf486cba1be5ba7ea85abdb92348"
 dependencies = [
- "num-bigint",
- "num-traits",
- "proc-macro2",
+ "quote",
+ "syn 1.0.109",
+]
+
+[[package]]
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+]
+
+[[package]]
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+ "num-traits",
+ "quote",
+ "syn 1.0.109",
+]
+
+[[package]]
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+dependencies = [
+ "num-bigint 0.4.6",
+ "num-traits",
+ "proc-macro2",
+ "quote",
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+
+[[package]]
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+ "num-bigint 0.4.6",
+ "num-traits",
+ "proc-macro2",
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@@ -215,11 +747,11 @@ checksum = "88f1d0f3a534bb54188b8dcc104307db6c56cdae574ddc3212aec0625740fc7e"
 dependencies = [
  "ark-crypto-primitives",
  "ark-ec",
- "ark-ff",
+ "ark-ff 0.5.0",
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  "ark-relations",
- "ark-serialize",
- "ark-std",
+ "ark-serialize 0.5.0",
+ "ark-std 0.5.0",
  "rayon",
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@@ -230,12 +762,12 @@ source = "registry+https://github.com/rust-lang/crates.io-index"
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- "ark-ff",
- "ark-serialize",
- "ark-std",
+ "ark-ff 0.5.0",
+ "ark-serialize 0.5.0",
+ "ark-std 0.5.0",
  "educe",
  "fnv",
- "hashbrown",
+ "hashbrown 0.15.5",
  "rayon",
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@@ -245,8 +777,8 @@ version = "0.5.1"
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 checksum = "ec46ddc93e7af44bcab5230937635b06fb5744464dd6a7e7b083e80ebd274384"
 dependencies = [
- "ark-ff",
- "ark-std",
+ "ark-ff 0.5.0",
+ "ark-std 0.5.0",
  "tracing",
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 ]
@@ -258,8 +790,29 @@ source = "registry+https://github.com/rust-lang/crates.io-index"
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 dependencies = [
  "ark-ec",
- "ark-ff",
- "ark-std",
+ "ark-ff 0.5.0",
+ "ark-std 0.5.0",
+]
+
+[[package]]
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+version = "0.3.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "1d6c2b318ee6e10f8c2853e73a83adc0ccb88995aa978d8a3408d492ab2ee671"
+dependencies = [
+ "ark-std 0.3.0",
+ "digest 0.9.0",
+]
+
+[[package]]
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+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "adb7b85a02b83d2f22f89bd5cac66c9c89474240cb6207cb1efc16d098e822a5"
+dependencies = [
+ "ark-std 0.4.0",
+ "digest 0.10.7",
+ "num-bigint 0.4.6",
 ]
 
 [[package]]
@@ -269,10 +822,10 @@ source = "registry+https://github.com/rust-lang/crates.io-index"
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 dependencies = [
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- "ark-std",
+ "ark-std 0.5.0",
  "arrayvec",
- "digest",
- "num-bigint",
+ "digest 0.10.7",
+ "num-bigint 0.4.6",
  "rayon",
 ]
 
@@ -293,10 +846,30 @@ version = "0.5.1"
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 checksum = "d368e2848c2d4c129ce7679a7d0d2d612b6a274d3ea6a13bad4445d61b381b88"
 dependencies = [
- "ark-ff",
+ "ark-ff 0.5.0",
  "ark-relations",
- "ark-serialize",
- "ark-std",
+ "ark-serialize 0.5.0",
+ "ark-std 0.5.0",
+]
+
+[[package]]
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+source = "registry+https://github.com/rust-lang/crates.io-index"
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+dependencies = [
+ "num-traits",
+ "rand 0.8.5",
+]
+
+[[package]]
+name = "ark-std"
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+dependencies = [
+ "num-traits",
+ "rand 0.8.5",
 ]
 
 [[package]]
@@ -307,7 +880,7 @@ checksum = "246a225cc6131e9ee4f24619af0f19d67761fff15d7ccc22e42b80846e69449a"
 dependencies = [
  "colored",
  "num-traits",
- "rand",
+ "rand 0.8.5",
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 checksum = "7c02d123df017efcdfbd739ef81735b36c5ba83ec3c59c80a9d7ecc718f92e50"
+dependencies = [
+ "serde",
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+checksum = "0b5a71a6f37880a80d1d7f19efd781e4b5de42c88f0722cc13bcb6cc2cfe8476"
+dependencies = [
+ "async-stream-impl",
+ "futures-core",
+ "pin-project-lite",
+]
 
 [[package]]
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+ "proc-macro2",
+ "quote",
+ "syn 2.0.106",
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 dependencies = [
- "bitcoin-internals",
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+ "proc-macro2",
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+ "syn 2.0.106",
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+ "aws-sdk-ssooidc",
+ "aws-sdk-sts",
+ "aws-smithy-async",
+ "aws-smithy-http",
+ "aws-smithy-json",
+ "aws-smithy-runtime",
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+ "aws-smithy-types",
+ "aws-types",
+ "bytes",
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+ "aws-smithy-json",
+ "aws-smithy-runtime",
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+ "aws-credential-types",
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+ "aws-smithy-runtime",
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+ "time",
+ "tracing-subscriber 0.3.20",
+]
+
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+
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- "regex-automata",
- "sharded-slab",
- "smallvec",
- "thread_local",
- "tracing",
- "tracing-core",
- "tracing-log",
+ "form_urlencoded",
+ "idna",
+ "percent-encoding",
+ "serde",
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+name = "urlencoding"
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+checksum = "b6c140620e7ffbb22c2dee59cafe6084a59b5ffc27a8859a5f0d494b5d52b6be"
 
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+dependencies = [
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+ "wasm-bindgen",
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+checksum = "f1bddf1187be692e79c5ffeab891132dfb0f236ed36a43c7ed39f1165ee20191"
+dependencies = [
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+dependencies = [
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+
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 name = "wasi"
 version = "0.11.1+wasi-snapshot-preview1"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "ccf3ec651a847eb01de73ccad15eb7d99f80485de043efb2f370cd654f4ea44b"
 
+[[package]]
+name = "wasip2"
+version = "1.0.1+wasi-0.2.4"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "0562428422c63773dad2c345a1882263bbf4d65cf3f42e90921f787ef5ad58e7"
+dependencies = [
+ "wit-bindgen",
+]
+
 [[package]]
 name = "wasm-bindgen"
 version = "0.2.103"
@@ -1896,6 +7276,19 @@ dependencies = [
  "wasm-bindgen-shared",
 ]
 
+[[package]]
+name = "wasm-bindgen-futures"
+version = "0.4.53"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "a0b221ff421256839509adbb55998214a70d829d3a28c69b4a6672e9d2a42f67"
+dependencies = [
+ "cfg-if",
+ "js-sys",
+ "once_cell",
+ "wasm-bindgen",
+ "web-sys",
+]
+
 [[package]]
 name = "wasm-bindgen-macro"
 version = "0.2.103"
@@ -1928,6 +7321,48 @@ dependencies = [
  "unicode-ident",
 ]
 
+[[package]]
+name = "wasm-streams"
+version = "0.4.2"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "15053d8d85c7eccdbefef60f06769760a563c7f0a9d6902a13d35c7800b0ad65"
+dependencies = [
+ "futures-util",
+ "js-sys",
+ "wasm-bindgen",
+ "wasm-bindgen-futures",
+ "web-sys",
+]
+
+[[package]]
+name = "web-sys"
+version = "0.3.80"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "fbe734895e869dc429d78c4b433f8d17d95f8d05317440b4fad5ab2d33e596dc"
+dependencies = [
+ "js-sys",
+ "wasm-bindgen",
+]
+
+[[package]]
+name = "web-time"
+version = "1.1.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "5a6580f308b1fad9207618087a65c04e7a10bc77e02c8e84e9b00dd4b12fa0bb"
+dependencies = [
+ "js-sys",
+ "wasm-bindgen",
+]
+
+[[package]]
+name = "webpki-roots"
+version = "1.0.3"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "32b130c0d2d49f8b6889abc456e795e82525204f27c42cf767cf0d7734e089b8"
+dependencies = [
+ "rustls-pki-types",
+]
+
 [[package]]
 name = "winapi"
 version = "0.3.9"
@@ -1950,12 +7385,90 @@ version = "0.4.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "712e227841d057c1ee1cd2fb22fa7e5a5461ae8e48fa2ca79ec42cfc1931183f"
 
+[[package]]
+name = "windows"
+version = "0.52.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "e48a53791691ab099e5e2ad123536d0fff50652600abaf43bbf952894110d0be"
+dependencies = [
+ "windows-core 0.52.0",
+ "windows-targets 0.52.6",
+]
+
+[[package]]
+name = "windows-core"
+version = "0.52.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "33ab640c8d7e35bf8ba19b884ba838ceb4fba93a4e8c65a9059d08afcfc683d9"
+dependencies = [
+ "windows-targets 0.52.6",
+]
+
+[[package]]
+name = "windows-core"
+version = "0.62.2"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "b8e83a14d34d0623b51dce9581199302a221863196a1dde71a7663a4c2be9deb"
+dependencies = [
+ "windows-implement",
+ "windows-interface",
+ "windows-link 0.2.1",
+ "windows-result",
+ "windows-strings",
+]
+
+[[package]]
+name = "windows-implement"
+version = "0.60.2"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "053e2e040ab57b9dc951b72c264860db7eb3b0200ba345b4e4c3b14f67855ddf"
+dependencies = [
+ "proc-macro2",
+ "quote",
+ "syn 2.0.106",
+]
+
+[[package]]
+name = "windows-interface"
+version = "0.59.3"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "3f316c4a2570ba26bbec722032c4099d8c8bc095efccdc15688708623367e358"
+dependencies = [
+ "proc-macro2",
+ "quote",
+ "syn 2.0.106",
+]
+
 [[package]]
 name = "windows-link"
 version = "0.1.3"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "5e6ad25900d524eaabdbbb96d20b4311e1e7ae1699af4fb28c17ae66c80d798a"
 
+[[package]]
+name = "windows-link"
+version = "0.2.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "f0805222e57f7521d6a62e36fa9163bc891acd422f971defe97d64e70d0a4fe5"
+
+[[package]]
+name = "windows-result"
+version = "0.4.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "7781fa89eaf60850ac3d2da7af8e5242a5ea78d1a11c49bf2910bb5a73853eb5"
+dependencies = [
+ "windows-link 0.2.1",
+]
+
+[[package]]
+name = "windows-strings"
+version = "0.5.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "7837d08f69c77cf6b07689544538e017c1bfcf57e34b4c0ff58e6c2cd3b37091"
+dependencies = [
+ "windows-link 0.2.1",
+]
+
 [[package]]
 name = "windows-sys"
 version = "0.48.0"
@@ -1992,6 +7505,15 @@ dependencies = [
  "windows-targets 0.53.3",
 ]
 
+[[package]]
+name = "windows-sys"
+version = "0.61.2"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "ae137229bcbd6cdf0f7b80a31df61766145077ddf49416a728b02cb3921ff3fc"
+dependencies = [
+ "windows-link 0.2.1",
+]
+
 [[package]]
 name = "windows-targets"
 version = "0.48.5"
@@ -2029,7 +7551,7 @@ version = "0.53.3"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "d5fe6031c4041849d7c496a8ded650796e7b6ecc19df1a431c1a363342e5dc91"
 dependencies = [
- "windows-link",
+ "windows-link 0.1.3",
  "windows_aarch64_gnullvm 0.53.0",
  "windows_aarch64_msvc 0.53.0",
  "windows_i686_gnu 0.53.0",
@@ -2178,6 +7700,36 @@ version = "0.53.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "271414315aff87387382ec3d271b52d7ae78726f5d44ac98b4f4030c91880486"
 
+[[package]]
+name = "winnow"
+version = "0.5.40"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "f593a95398737aeed53e489c785df13f3618e41dbcd6718c6addbf1395aa6876"
+dependencies = [
+ "memchr",
+]
+
+[[package]]
+name = "winnow"
+version = "0.7.13"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "21a0236b59786fed61e2a80582dd500fe61f18b5dca67a4a067d0bc9039339cf"
+dependencies = [
+ "memchr",
+]
+
+[[package]]
+name = "wit-bindgen"
+version = "0.46.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "f17a85883d4e6d00e8a97c586de764dabcc06133f7f1d55dce5cdc070ad7fe59"
+
+[[package]]
+name = "writeable"
+version = "0.6.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "ea2f10b9bb0928dfb1b42b65e1f9e36f7f54dbdf08457afefb38afcdec4fa2bb"
+
 [[package]]
 name = "wyz"
 version = "0.5.1"
@@ -2187,6 +7739,36 @@ dependencies = [
  "tap",
 ]
 
+[[package]]
+name = "xmlparser"
+version = "0.13.6"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "66fee0b777b0f5ac1c69bb06d361268faafa61cd4682ae064a171c16c433e9e4"
+
+[[package]]
+name = "yoke"
+version = "0.8.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "5f41bb01b8226ef4bfd589436a297c53d118f65921786300e427be8d487695cc"
+dependencies = [
+ "serde",
+ "stable_deref_trait",
+ "yoke-derive",
+ "zerofrom",
+]
+
+[[package]]
+name = "yoke-derive"
+version = "0.8.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "38da3c9736e16c5d3c8c597a9aaa5d1fa565d0532ae05e27c24aa62fb32c0ab6"
+dependencies = [
+ "proc-macro2",
+ "quote",
+ "syn 2.0.106",
+ "synstructure",
+]
+
 [[package]]
 name = "zerocopy"
 version = "0.8.27"
@@ -2207,6 +7789,27 @@ dependencies = [
  "syn 2.0.106",
 ]
 
+[[package]]
+name = "zerofrom"
+version = "0.1.6"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "50cc42e0333e05660c3587f3bf9d0478688e15d870fab3346451ce7f8c9fbea5"
+dependencies = [
+ "zerofrom-derive",
+]
+
+[[package]]
+name = "zerofrom-derive"
+version = "0.1.6"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "d71e5d6e06ab090c67b5e44993ec16b72dcbaabc526db883a360057678b48502"
+dependencies = [
+ "proc-macro2",
+ "quote",
+ "syn 2.0.106",
+ "synstructure",
+]
+
 [[package]]
 name = "zeroize"
 version = "1.8.1"
@@ -2226,3 +7829,63 @@ dependencies = [
  "quote",
  "syn 2.0.106",
 ]
+
+[[package]]
+name = "zerotrie"
+version = "0.2.2"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "36f0bbd478583f79edad978b407914f61b2972f5af6fa089686016be8f9af595"
+dependencies = [
+ "displaydoc",
+ "yoke",
+ "zerofrom",
+]
+
+[[package]]
+name = "zerovec"
+version = "0.11.4"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "e7aa2bd55086f1ab526693ecbe444205da57e25f4489879da80635a46d90e73b"
+dependencies = [
+ "yoke",
+ "zerofrom",
+ "zerovec-derive",
+]
+
+[[package]]
+name = "zerovec-derive"
+version = "0.11.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "5b96237efa0c878c64bd89c436f661be4e46b2f3eff1ebb976f7ef2321d2f58f"
+dependencies = [
+ "proc-macro2",
+ "quote",
+ "syn 2.0.106",
+]
+
+[[package]]
+name = "zkhash"
+version = "0.2.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "4352d1081da6922701401cdd4cbf29a2723feb4cfabb5771f6fee8e9276da1c7"
+dependencies = [
+ "ark-ff 0.4.2",
+ "ark-std 0.4.0",
+ "bitvec",
+ "blake2",
+ "bls12_381",
+ "byteorder",
+ "cfg-if",
+ "group 0.12.1",
+ "group 0.13.0",
+ "halo2",
+ "hex",
+ "jubjub",
+ "lazy_static",
+ "pasta_curves 0.5.1",
+ "rand 0.8.5",
+ "serde",
+ "sha2",
+ "sha3",
+ "subtle",
+]
diff --git a/Cargo.toml b/Cargo.toml
index 87a99efc..452c7e1d 100644
--- a/Cargo.toml
+++ b/Cargo.toml
@@ -1,6 +1,6 @@
 [package]
 name = "garbled-snark-verifier"
-version = "0.4.0"
+version = "0.5.0"
 edition = "2024"
 authors = ["BitVM Alliance"]
 license = "GPL-3.0-only"
@@ -14,9 +14,12 @@ keywords = [
     "groth16",
 ]
 description = "Garbled-circuit SNARK verifier using Groth16 (BN254), with reusable gadgets and ergonomic circuit composition."
+resolver = "2"
 
 [features]
-default = ["tracing_max_level", "tracing_scopes"]
+default = ["tracing_max_level", "tracing_scopes", "sp1-soldering"]
+sp1-soldering = ["sp1-prover", "sp1-core-machine", "sp1-core-executor", "sp1-primitives", "sp1-stark"]
+
 tracing_max_level = ["tracing/max_level_trace", "tracing/release_max_level_info"]
 tracing_scopes = []
 
@@ -28,43 +31,55 @@ ark-ec = "0.5.0"
 ark-ff = "0.5.0"
 ark-groth16 = "0.5.0"
 ark-relations = "0.5.1"
+ark-secp256k1 = "0.5.0"
+ark-serialize = "0.5.0"
 ark-snark = "0.5.1"
 ark-std = "0.5.0"
 bitvec = "1.0.1"
 blake3 = { version = "1.6.1", features = ["traits-preview"] }
 circuit_component_macro = { path = "circuit_component_macro" }
+core_affinity = "0.8"
 crossbeam = "0.8"
 digest = "0.10"
 itertools = "0.14.0"
-tracing = { version = "0.1.41", features = ["attributes", "std"] }
-tracing-subscriber = { version = "0.3.20", features = ["env-filter", "fmt", "registry"] }
-tracing-log = "0.2"
 num-bigint = { version = "0.4", features = ["rand"] }
 num-traits = "0.2"
+num_cpus = "1.16"
 rand = "0.8" # using old version for consistency with ark
 rand_chacha = "0.3" # using old version for consistency with ark
 rayon = "1.10.0"
-core_affinity = "0.8"
-num_cpus = "1.16"
+rkyv = { version = "0.8", default-features = false, features = ["alloc"] }
+serde = { version = "1.0.225", features = ["derive"] }
+serde_json = "1.0"
 slab = "0.4.11"
 thiserror = "2.0.12"
-serde_json = "1.0"
-serde = { version = "1.0.225", features = ["derive"] }
-ark-serialize = "0.5.0"
-ark-secp256k1 = "0.5.0"
+tracing = { version = "0.1.41", features = ["attributes", "std"] }
+tracing-log = "0.2"
+tracing-subscriber = { version = "0.3.20", features = ["env-filter", "fmt", "registry"] }
 
 bitcoin = { version = "0.32.7", features = ["rand", "rand-std"] }
 sha2 = "0.10.9"
 hex = "0.4.3"
 
+sp1-prover = { version = "5.2", features = ["native-gnark"], optional = true }
+sp1-core-machine = { version = "5.2", optional = true }
+sp1-core-executor = { version = "5.2", optional = true }
+sp1-primitives = { version = "5.2", optional = true }
+sp1-stark = { version = "5.2", optional = true }
+dirs = "6.0.0"
+
+[build-dependencies]
+sp1-build = "5.2"
+sp1-sdk = "5.2"
+
 [dev-dependencies]
 ark-ec = "0.5.0"
 ark-relations = "0.5.0"
-serde_json = "1.0"
-test-log = { version = "0.2.8", default-features = false, features = ["trace"] }
 bitcoin-script = { git = "https://github.com/BitVM/rust-bitcoin-script" }
 bitvm = { git = "https://github.com/BitVM/BitVM", branch = "main" }
 k256 = "0.13.4"
+serde_json = "1.0"
+test-log = { version = "0.2.8", default-features = false, features = ["trace"] }
 
 # Install Git hooks via cargo-husky
 [dev-dependencies.cargo-husky]
@@ -83,3 +98,11 @@ panic = "abort"       # Faster execution, smaller binary
 # `cargo-husky` is intentionally present for git hooks and should be ignored by udeps
 development = ["cargo-husky"]
 normal = ["aes"]
+
+[profile.release]
+lto = "thin"        # try "fat" if you can afford link time
+codegen-units = 1   # maximize inlining decisions
+panic = "abort"
+incremental = false
+strip = "symbols"   # if you don't need debug symbols in release
+
diff --git a/build.rs b/build.rs
new file mode 100644
index 00000000..3b4a2333
--- /dev/null
+++ b/build.rs
@@ -0,0 +1,13 @@
+fn main() {
+    // Example: checking if the "fast-math" feature is enabled
+    if std::env::var("CARGO_FEATURE_SP1_SOLDERING").is_ok() {
+        println!("cargo:rerun-if-changed=sp1-soldering-program/Cargo.toml");
+        println!("cargo:rerun-if-changed=sp1-soldering-program/src/main.rs");
+        println!("cargo:rerun-if-env-changed=SP1_DEV_MODE");
+
+        sp1_build::build_program_with_args("sp1-soldering-program", Default::default());
+        _ = sp1_sdk::install::try_install_circuit_artifacts("groth16");
+    } else {
+        println!("no soldering");
+    }
+}
diff --git a/examples/groth16_cut_and_choose.rs b/examples/groth16_cut_and_choose.rs
index 2308debe..36d91c02 100644
--- a/examples/groth16_cut_and_choose.rs
+++ b/examples/groth16_cut_and_choose.rs
@@ -1,10 +1,12 @@
+//! High-level driver showcasing the cut-and-choose Setup/Evaluate flow from
+//! `docs/gsv_spec.md` using the Groth16 verifier gadget.
 use std::{path::PathBuf, thread};
 
 use ark_ec::AffineRepr;
 use ark_ff::AdditiveGroup;
 use crossbeam::channel;
 use garbled_snark_verifier::{
-    EvaluatedWire, GarbledInstanceCommit, OpenForInstance, S,
+    CommitPhaseOne, CommitPhaseTwo, EvaluatedWire, OpenForInstance, S,
     ark::{
         self, Bn254, CircuitSpecificSetupSNARK, Groth16 as ArkGroth16, ProvingKey as ArkProvingKey,
         SNARK, UniformRand,
@@ -13,6 +15,7 @@ use garbled_snark_verifier::{
     cut_and_choose::FileCiphertextHandlerProvider,
     garbled_groth16,
     groth16_cut_and_choose::{self as ccn, EvaluatorCaseInput},
+    sp1_soldering::SolderingProof,
 };
 use rand::{Rng, SeedableRng};
 use rand_chacha::ChaCha20Rng;
@@ -26,18 +29,31 @@ const K_CONSTRAINTS: u32 = 5; // 2^k constraints
 const IS_PROOF_CORRECT: bool = true;
 const IS_PRE_BOOLEAN_EXEC: bool = false;
 
-enum G2EMsg {
-    // Garbler -> Evaluator: commitments for all instances
-    Commits(Vec<GarbledInstanceCommit>),
-    // Garbler -> Evaluator: indices and seeds for instances to open
+// Calculate and display total gates to process
+const GATES_PER_INSTANCE: u64 = 11_174_708_821;
+
+use garbled_snark_verifier::hashers::Sha256LabelCommitHasher as ExampleHasher;
+
+/// Messages emitted by the Garbler during Setup (spec Steps 1–4).
+enum SetupBroadcast {
+    /// Step 1.2 — `Commit₁(i)` for every instance (ciphertext hash, inputs, outputs, constants).
+    Commit1(Vec<CommitPhaseOne<ExampleHasher>>),
+    /// Step 1.4 — `Commit₂(i)` records with nonce-injected input commitments.
+    Commit2(Vec<CommitPhaseTwo<ExampleHasher>>),
+    /// Step 3 — seeds for all challenge instances (open set).
     OpenSeeds(Vec<(usize, ccn::Seed)>),
-    // Garbler -> Evaluator: fully built evaluator inputs for finalized instances
-    OpenLabels(Vec<EvaluatorCaseInput>),
+    /// Step 4 — SP1-based soldering proof plus per-instance deltas.
+    SolderingProof(Box<SolderingProof>),
+    /// Base evaluator labels used to derive finalized inputs post-soldering.
+    BaseInput(Box<EvaluatorCaseInput>),
 }
 
-enum E2GMsg<CTH: 'static + Send + CiphertextHandler> {
-    // Evaluator -> Garbler: senders to forward ciphertexts for finalized instances
-    Challenge(Vec<(usize, CTH)>),
+/// Messages emitted by the Evaluator during Setup.
+enum SetupResponse<CTH: 'static + Send + CiphertextHandler> {
+    /// Step 1.3 — 128-bit nonce that hardens input label commitments.
+    Commit2Nonce(S),
+    /// Step 2 — finalization challenge specifying the evaluation set plus ciphertext handlers.
+    FinalizeChallenge(Vec<(usize, CTH)>),
 }
 
 // Simple multiplicative circuit used to produce a valid Groth16 proof.
@@ -79,9 +95,6 @@ impl<F: ark::PrimeField> ark::ConstraintSynthesizer<F> for DummyCircuit<F> {
     }
 }
 
-// Calculate and display total gates to process
-const GATES_PER_INSTANCE: u64 = 11_174_708_821;
-
 fn main() {
     if !garbled_snark_verifier::hardware_aes_available() {
         eprintln!(
@@ -132,8 +145,8 @@ fn main() {
         GATES_PER_INSTANCE as f64 / 1_000_000_000.0
     );
 
-    let (g2e_tx, g2e_rx) = channel::unbounded::<G2EMsg>();
-    let (e2g_tx, e2g_rx) = channel::unbounded::<E2GMsg<CiphertextSender>>();
+    let (g2e_tx, g2e_rx) = channel::unbounded::<SetupBroadcast>();
+    let (e2g_tx, e2g_rx) = channel::unbounded::<SetupResponse<CiphertextSender>>();
 
     let garbler_cfg = ccn::Config::new(total, finalize, g_input.clone());
     let evaluator_cfg = garbler_cfg.clone();
@@ -167,8 +180,8 @@ fn run_garbler(
     pk: ArkProvingKey<Bn254>,
     circuit: DummyCircuit<ark::Fr>,
     public_input: ark::Fr,
-    g2e_tx: channel::Sender<G2EMsg>,
-    e2g_rx: channel::Receiver<E2GMsg<CiphertextSender>>,
+    g2e_tx: channel::Sender<SetupBroadcast>,
+    e2g_rx: channel::Receiver<SetupResponse<CiphertextSender>>,
 ) {
     let mut seed_rng = ChaCha20Rng::seed_from_u64(rand::thread_rng().r#gen());
 
@@ -180,11 +193,31 @@ fn run_garbler(
 
     let mut g = ccn::Garbler::create(&mut seed_rng, cfg.clone());
 
+    // Step 1.2 — Garbler publishes Commit₁ for every instance.
+    g2e_tx
+        .send(SetupBroadcast::Commit1(
+            g.commit_phase_one::<ExampleHasher>(),
+        ))
+        .expect("send commits");
+
+    // Step 1.3 — Evaluator samples a nonce that will harden input label commits.
+    let SetupResponse::Commit2Nonce(nonce) = e2g_rx.recv().expect("recv nonce senders") else {
+        panic!("unexpected message; expected nonce")
+    };
+
+    // Step 1.4 — Garbler republishes input commitments blended with the nonce.
     g2e_tx
-        .send(G2EMsg::Commits(g.commit()))
+        .send(SetupBroadcast::Commit2(
+            g.commit_phase_two::<ExampleHasher>(nonce),
+        ))
         .expect("send commits");
 
-    let E2GMsg::Challenge(finalize_senders) = e2g_rx.recv().expect("recv finalize senders");
+    // Step 2 — Evaluator challenges the Garbler with the finalize set.
+    let SetupResponse::FinalizeChallenge(finalize_senders) =
+        e2g_rx.recv().expect("recv finalize senders")
+    else {
+        panic!("unexpected message; expected challenge")
+    };
 
     let mut seeds = vec![];
     let mut threads = vec![];
@@ -200,15 +233,27 @@ fn run_garbler(
     }
 
     g2e_tx
-        .send(G2EMsg::OpenSeeds(seeds))
+        .send(SetupBroadcast::OpenSeeds(seeds))
         .expect("send open_result");
 
+    // Single-machine demo: run stages sequentially to avoid resource contention.
+    info!("single-machine demo: joining regarbling before soldering/evaluation");
     threads.into_iter().for_each(|th| {
         if let Err(err) = th.join() {
             error!("while regarbling: {err:?}")
         }
     });
 
+    // Produce and send soldering proof (timed via span; no progress output)
+    {
+        let _span = tracing::info_span!("soldering").entered();
+        info!("start");
+        let proof = g.do_soldering();
+        g2e_tx
+            .send(SetupBroadcast::SolderingProof(Box::new(proof)))
+            .expect("send soldering proof");
+    }
+
     let challenge_proof =
         ArkGroth16::<Bn254>::prove(&pk, circuit, &mut ChaCha20Rng::seed_from_u64(42))
             .expect("prove");
@@ -222,15 +267,6 @@ fn run_garbler(
         "Proof must be valid before garbling!"
     );
 
-    let is_valid = ArkGroth16::<Bn254>::verify(&cfg.input().vk, &[public_input], &challenge_proof)
-        .expect("verify");
-
-    info!("Proof is_valid: {is_valid}");
-    assert_eq!(
-        is_valid, IS_PROOF_CORRECT,
-        "Proof must be {IS_PROOF_CORRECT} before garbling!"
-    );
-
     // Test only
     if IS_PRE_BOOLEAN_EXEC {
         let streaming_result: garbled_snark_verifier::circuit::StreamingResult<_, _, bool> =
@@ -255,26 +291,45 @@ fn run_garbler(
 
     let fin_inputs = g.prepare_input_labels(vec![public_input], challenge_proof);
 
+    // Only send base-case input labels; derive others via soldering deltas on evaluator side
+    assert!(!fin_inputs.is_empty(), "no finalized inputs prepared");
+    let base_case = fin_inputs.into_iter().next().expect("base case");
+
     g2e_tx
-        .send(G2EMsg::OpenLabels(fin_inputs))
-        .expect("send finalized evaluator inputs");
+        .send(SetupBroadcast::BaseInput(Box::new(base_case)))
+        .expect("send base evaluator input labels")
 }
 
 fn run_evaluator(
     cfg: ccn::Config,
     out_dir: PathBuf,
-    g2e_rx: channel::Receiver<G2EMsg>,
-    e2g_tx: channel::Sender<E2GMsg<CiphertextSender>>,
+    g2e_rx: channel::Receiver<SetupBroadcast>,
+    e2g_tx: channel::Sender<SetupResponse<CiphertextSender>>,
 ) -> Vec<(usize, EvaluatedWire)> {
     let mut rng = ChaCha20Rng::seed_from_u64(rand::thread_rng().r#gen());
 
     let finalize = cfg.to_finalize();
 
-    let G2EMsg::Commits(commits) = g2e_rx.recv().expect("recv commits") else {
+    // Step 1.2 — receive Commit₁ batch.
+    let SetupBroadcast::Commit1(commits) = g2e_rx.recv().expect("recv commits") else {
         panic!("unexpected message; expected commits")
     };
 
-    let eval = ccn::Evaluator::create(&mut rng, cfg.clone(), commits);
+    let mut eval = ccn::Evaluator::<ExampleHasher>::create(&mut rng, cfg.clone(), commits);
+
+    let nonce = eval.get_nonce();
+
+    // Step 1.3 — send the nonce back to the Garbler.
+    e2g_tx
+        .send(SetupResponse::Commit2Nonce(nonce))
+        .expect("send nonce to garbler");
+
+    // Step 1.4 — receive Commit₂ batch.
+    let SetupBroadcast::Commit2(commits) = g2e_rx.recv().expect("recv second commit") else {
+        panic!("unexpected message; expected second commit")
+    };
+
+    eval.fill_second_commit(commits);
 
     let finalize_indices: Vec<usize> = eval.finalized_indexes().to_vec();
 
@@ -297,11 +352,12 @@ fn run_evaluator(
         finalize_indices[0]
     );
 
+    // Step 2 — send the finalize challenge back to the Garbler.
     e2g_tx
-        .send(E2GMsg::Challenge(senders))
-        .expect("send finalize senders to garbler");
+        .send(SetupResponse::FinalizeChallenge(senders))
+        .expect("send finalize challenge to garbler");
 
-    let G2EMsg::OpenSeeds(open_result) = g2e_rx.recv().expect("recv open_result") else {
+    let SetupBroadcast::OpenSeeds(open_result) = g2e_rx.recv().expect("recv open_result") else {
         panic!("unexpected message; expected open seeds")
     };
 
@@ -314,9 +370,20 @@ fn run_evaluator(
     )
     .expect("regarbling checks");
 
-    let Ok(G2EMsg::OpenLabels(cases)) = g2e_rx.recv() else {
-        panic!("unexpected message; expected finalized inputs")
+    // Verify soldering proof binds inputs to commits
+    let SetupBroadcast::SolderingProof(proof) = g2e_rx.recv().expect("recv soldering proof") else {
+        panic!("unexpected message; expected soldering proof")
+    };
+
+    eval.verify_soldering_against_commits(*proof)
+        .expect("soldering verify");
+
+    // Receive constants for additional instances
+    // Receive the base-case evaluator input (labels)
+    let SetupBroadcast::BaseInput(base_case) = g2e_rx.recv().expect("recv base input") else {
+        panic!("unexpected message; expected base evaluator input")
     };
 
-    eval.evaluate_from(&out_dir, cases).unwrap()
+    eval.run_evaluate_with_soldered_instances(&out_dir, *base_case)
+        .expect("soldered evaluate")
 }
diff --git a/sp1-soldering-program/Cargo.lock b/sp1-soldering-program/Cargo.lock
new file mode 100644
index 00000000..0ee932c0
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+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "a063ea72381527c2a0561da9c80000ef822bdd7c3241b1cc1b12100e3df081ee"
+dependencies = [
+ "ptr_meta",
+]
+
+[[package]]
+name = "rand"
+version = "0.8.5"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "34af8d1a0e25924bc5b7c43c079c942339d8f0a8b57c39049bef581b46327404"
+dependencies = [
+ "libc",
+ "rand_chacha",
+ "rand_core",
+]
+
+[[package]]
+name = "rand_chacha"
+version = "0.3.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "e6c10a63a0fa32252be49d21e7709d4d4baf8d231c2dbce1eaa8141b9b127d88"
+dependencies = [
+ "ppv-lite86",
+ "rand_core",
+]
+
+[[package]]
+name = "rand_core"
+version = "0.6.4"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "ec0be4795e2f6a28069bec0b5ff3e2ac9bafc99e6a9a7dc3547996c5c816922c"
+dependencies = [
+ "getrandom 0.2.16",
+]
+
+[[package]]
+name = "rend"
+version = "0.5.3"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "cadadef317c2f20755a64d7fdc48f9e7178ee6b0e1f7fce33fa60f1d68a276e6"
+
+[[package]]
+name = "rkyv"
+version = "0.8.12"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "35a640b26f007713818e9a9b65d34da1cf58538207b052916a83d80e43f3ffa4"
+dependencies = [
+ "hashbrown",
+ "munge",
+ "ptr_meta",
+ "rancor",
+ "rend",
+ "rkyv_derive",
+ "tinyvec",
+]
+
+[[package]]
+name = "rkyv_derive"
+version = "0.8.12"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "bd83f5f173ff41e00337d97f6572e416d022ef8a19f371817259ae960324c482"
+dependencies = [
+ "proc-macro2",
+ "quote",
+ "syn",
+]
+
+[[package]]
+name = "serde"
+version = "1.0.228"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "9a8e94ea7f378bd32cbbd37198a4a91436180c5bb472411e48b5ec2e2124ae9e"
+dependencies = [
+ "serde_core",
+ "serde_derive",
+]
+
+[[package]]
+name = "serde_core"
+version = "1.0.228"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "41d385c7d4ca58e59fc732af25c3983b67ac852c1a25000afe1175de458b67ad"
+dependencies = [
+ "serde_derive",
+]
+
+[[package]]
+name = "serde_derive"
+version = "1.0.228"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "d540f220d3187173da220f885ab66608367b6574e925011a9353e4badda91d79"
+dependencies = [
+ "proc-macro2",
+ "quote",
+ "syn",
+]
+
+[[package]]
+name = "sha2"
+version = "0.10.9"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "a7507d819769d01a365ab707794a4084392c824f54a7a6a7862f8c3d0892b283"
+dependencies = [
+ "cfg-if",
+ "cpufeatures",
+ "digest",
+]
+
+[[package]]
+name = "sha2"
+version = "0.10.9"
+source = "git+https://github.com/sp1-patches/RustCrypto-hashes?tag=patch-sha2-0.10.9-sp1-4.0.0#0b1945eea7d9a776fd6e50ffd5fc51f0c5e6f155"
+dependencies = [
+ "cfg-if",
+ "cpufeatures",
+ "digest",
+]
+
+[[package]]
+name = "shlex"
+version = "1.3.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "0fda2ff0d084019ba4d7c6f371c95d8fd75ce3524c3cb8fb653a3023f6323e64"
+
+[[package]]
+name = "sp1-lib"
+version = "5.2.2"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "fce8ad0f153443d09d398eccb650a0b2dcbf829470e394e4bf60ec4379c7af93"
+dependencies = [
+ "bincode",
+ "serde",
+ "sp1-primitives",
+]
+
+[[package]]
+name = "sp1-primitives"
+version = "5.2.2"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "0244dee3a7a0f88cf71c3edf518f4fc97794ae870a107cbe7c810ac3fbf879cb"
+dependencies = [
+ "bincode",
+ "blake3",
+ "cfg-if",
+ "hex",
+ "lazy_static",
+ "num-bigint",
+ "p3-baby-bear",
+ "p3-field",
+ "p3-poseidon2",
+ "p3-symmetric",
+ "serde",
+ "sha2 0.10.9 (registry+https://github.com/rust-lang/crates.io-index)",
+]
+
+[[package]]
+name = "sp1-soldering-guest"
+version = "0.1.0"
+dependencies = [
+ "rkyv",
+ "sha2 0.10.9 (git+https://github.com/sp1-patches/RustCrypto-hashes?tag=patch-sha2-0.10.9-sp1-4.0.0)",
+ "sp1-zkvm",
+]
+
+[[package]]
+name = "sp1-zkvm"
+version = "5.2.2"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "cb9cad934f30e245be5c0c55aac0810cf3bbd86187b384e0e95f3afac7cd41b3"
+dependencies = [
+ "cfg-if",
+ "getrandom 0.2.16",
+ "getrandom 0.3.4",
+ "lazy_static",
+ "libm",
+ "rand",
+ "sha2 0.10.9 (registry+https://github.com/rust-lang/crates.io-index)",
+ "sp1-lib",
+ "sp1-primitives",
+]
+
+[[package]]
+name = "syn"
+version = "2.0.107"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "2a26dbd934e5451d21ef060c018dae56fc073894c5a7896f882928a76e6d081b"
+dependencies = [
+ "proc-macro2",
+ "quote",
+ "unicode-ident",
+]
+
+[[package]]
+name = "tinyvec"
+version = "1.10.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "bfa5fdc3bce6191a1dbc8c02d5c8bffcf557bafa17c124c5264a458f1b0613fa"
+dependencies = [
+ "tinyvec_macros",
+]
+
+[[package]]
+name = "tinyvec_macros"
+version = "0.1.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "1f3ccbac311fea05f86f61904b462b55fb3df8837a366dfc601a0161d0532f20"
+
+[[package]]
+name = "tracing"
+version = "0.1.41"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "784e0ac535deb450455cbfa28a6f0df145ea1bb7ae51b821cf5e7927fdcfbdd0"
+dependencies = [
+ "pin-project-lite",
+ "tracing-attributes",
+ "tracing-core",
+]
+
+[[package]]
+name = "tracing-attributes"
+version = "0.1.30"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "81383ab64e72a7a8b8e13130c49e3dab29def6d0c7d76a03087b3cf71c5c6903"
+dependencies = [
+ "proc-macro2",
+ "quote",
+ "syn",
+]
+
+[[package]]
+name = "tracing-core"
+version = "0.1.34"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "b9d12581f227e93f094d3af2ae690a574abb8a2b9b7a96e7cfe9647b2b617678"
+dependencies = [
+ "once_cell",
+]
+
+[[package]]
+name = "typenum"
+version = "1.19.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "562d481066bde0658276a35467c4af00bdc6ee726305698a55b86e61d7ad82bb"
+
+[[package]]
+name = "unicode-ident"
+version = "1.0.19"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "f63a545481291138910575129486daeaf8ac54aee4387fe7906919f7830c7d9d"
+
+[[package]]
+name = "version_check"
+version = "0.9.5"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "0b928f33d975fc6ad9f86c8f283853ad26bdd5b10b7f1542aa2fa15e2289105a"
+
+[[package]]
+name = "wasi"
+version = "0.11.1+wasi-snapshot-preview1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "ccf3ec651a847eb01de73ccad15eb7d99f80485de043efb2f370cd654f4ea44b"
+
+[[package]]
+name = "wasip2"
+version = "1.0.1+wasi-0.2.4"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "0562428422c63773dad2c345a1882263bbf4d65cf3f42e90921f787ef5ad58e7"
+dependencies = [
+ "wit-bindgen",
+]
+
+[[package]]
+name = "wit-bindgen"
+version = "0.46.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "f17a85883d4e6d00e8a97c586de764dabcc06133f7f1d55dce5cdc070ad7fe59"
+
+[[package]]
+name = "zerocopy"
+version = "0.8.27"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "0894878a5fa3edfd6da3f88c4805f4c8558e2b996227a3d864f47fe11e38282c"
+dependencies = [
+ "zerocopy-derive",
+]
+
+[[package]]
+name = "zerocopy-derive"
+version = "0.8.27"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "88d2b8d9c68ad2b9e4340d7832716a4d21a22a1154777ad56ea55c51a9cf3831"
+dependencies = [
+ "proc-macro2",
+ "quote",
+ "syn",
+]
diff --git a/sp1-soldering-program/Cargo.toml b/sp1-soldering-program/Cargo.toml
new file mode 100644
index 00000000..c40f05ac
--- /dev/null
+++ b/sp1-soldering-program/Cargo.toml
@@ -0,0 +1,9 @@
+[package]
+name = "sp1-soldering-guest"
+version = "0.1.0"
+edition = "2021"
+
+[dependencies]
+rkyv = { version = "0.8", default-features = false, features = ["alloc"] }
+sha2 = { git = "https://github.com/sp1-patches/RustCrypto-hashes", package = "sha2", tag = "patch-sha2-0.10.9-sp1-4.0.0" }
+sp1-zkvm = "5.2.2"
diff --git a/sp1-soldering-program/src/main.rs b/sp1-soldering-program/src/main.rs
new file mode 100644
index 00000000..36a676a1
--- /dev/null
+++ b/sp1-soldering-program/src/main.rs
@@ -0,0 +1,101 @@
+#![no_main]
+sp1_zkvm::entrypoint!(main);
+
+use core::ops::BitXor;
+
+use rkyv::rancor;
+use sha2::{Digest, Sha256};
+
+pub mod types;
+pub use types::*;
+
+#[inline(always)]
+fn hash_label_into(hasher: &mut Sha256, label: &rkyv::rend::u128_le, out: &mut [u8; 32]) {
+    hasher.update(label.to_native().to_be_bytes().as_slice());
+    hasher.finalize_into_reset(out.into());
+}
+
+pub fn main() {
+    let input_bytes = sp1_zkvm::io::read_vec();
+
+    // Safety:
+    //
+    // Crate that is used under the hood for consistency checking - does not work in sp1 env.
+    // Outside for consistency of ser/deser, the same logic code is executed for checking
+    // correctness.
+    let archived = unsafe { rkyv::access_unchecked::<ArchivedWiresInput>(input_bytes.as_slice()) };
+
+    let (base_instance, remaining) = archived.instances_wires.split_first().unwrap();
+    let soldered_instances_count = remaining.len();
+    let nonce = archived.nonce;
+
+    let wires_count = base_instance.len();
+
+    let mut base_commitment = vec![([0u8; 32], [0u8; 32]); wires_count];
+    let mut base_nonce_commitment = vec![([0u8; 32], [0u8; 32]); wires_count];
+
+    // Initialize commitments for each instance with proper capacity
+    let mut commitments: Vec<Vec<([u8; 32], [u8; 32])>> =
+        vec![vec![([0u8; 32], [0u8; 32]); wires_count]; soldered_instances_count];
+
+    let mut deltas = vec![Vec::with_capacity(wires_count); soldered_instances_count];
+
+    // Reuse single hasher for all operations
+    let mut hasher = Sha256::new();
+
+    for wire_id in 0..wires_count {
+        let base_wire = &base_instance[wire_id];
+
+        // Compute base commitments
+        hash_label_into(&mut hasher, &base_wire.0, &mut base_commitment[wire_id].0);
+        hash_label_into(&mut hasher, &base_wire.1, &mut base_commitment[wire_id].1);
+
+        // Compute base nonce commitments in the same loop
+        let label0_with_nonce = base_wire.0.bitxor(nonce);
+        let label0_le = rkyv::rend::u128_le::from_native(label0_with_nonce);
+        hash_label_into(
+            &mut hasher,
+            &label0_le,
+            &mut base_nonce_commitment[wire_id].0,
+        );
+
+        let label1_with_nonce = base_wire.1.bitxor(nonce);
+        let label1_le = rkyv::rend::u128_le::from_native(label1_with_nonce);
+        hash_label_into(
+            &mut hasher,
+            &label1_le,
+            &mut base_nonce_commitment[wire_id].1,
+        );
+
+        // Get corresponding wire from each remaining instance
+        for idx in 0..soldered_instances_count {
+            let instance_wire = &remaining[idx][wire_id];
+
+            // Hash each label individually like base instance, reusing the hasher
+            hash_label_into(
+                &mut hasher,
+                &instance_wire.0,
+                &mut commitments[idx][wire_id].0,
+            );
+            hash_label_into(
+                &mut hasher,
+                &instance_wire.1,
+                &mut commitments[idx][wire_id].1,
+            );
+
+            let delta0 = base_wire.0.bitxor(instance_wire.0);
+            let delta1 = base_wire.1.bitxor(instance_wire.1);
+            deltas[idx].push((delta0, delta1));
+        }
+    }
+
+    let data = SolderedLabelsData {
+        deltas,
+        base_commitment,
+        base_nonce_commitment,
+        commitments,
+        nonce: nonce.to_native(),
+    };
+
+    sp1_zkvm::io::commit_slice(rkyv::to_bytes::<rancor::Error>(&data).unwrap().as_slice());
+}
diff --git a/sp1-soldering-program/src/types.rs b/sp1-soldering-program/src/types.rs
new file mode 100644
index 00000000..5cbf8480
--- /dev/null
+++ b/sp1-soldering-program/src/types.rs
@@ -0,0 +1,21 @@
+use rkyv::{Archive, Deserialize, Serialize};
+
+pub type Wire = (u128, u128);
+pub type InstancesWires = Vec<Wire>;
+pub type Sha256Commit = [u8; 32];
+
+#[derive(Archive, Deserialize, Serialize, Debug, PartialEq)]
+#[rkyv(derive(Debug))]
+pub struct WiresInput {
+    pub instances_wires: Vec<InstancesWires>,
+    pub nonce: u128,
+}
+
+#[derive(Archive, Deserialize, Serialize, Debug, PartialEq)]
+pub struct SolderedLabelsData {
+    pub deltas: Vec<Vec<(u128, u128)>>,
+    pub base_commitment: Vec<(Sha256Commit, Sha256Commit)>,
+    pub base_nonce_commitment: Vec<(Sha256Commit, Sha256Commit)>,
+    pub nonce: u128,
+    pub commitments: Vec<Vec<(Sha256Commit, Sha256Commit)>>,
+}
diff --git a/src/cac/adaptor_sigs.rs b/src/cac/adaptor_sigs.rs
index 6a6ec1a9..2989279e 100644
--- a/src/cac/adaptor_sigs.rs
+++ b/src/cac/adaptor_sigs.rs
@@ -1,4 +1,4 @@
-use ark_ec::{CurveGroup, PrimeGroup};
+use ark_ec::{AffineRepr, CurveGroup, PrimeGroup};
 use ark_ff::{BigInteger, PrimeField, UniformRand};
 use ark_secp256k1::{Fq, Fr, Projective};
 use sha2::{Digest, Sha256};
@@ -82,7 +82,15 @@ impl AdaptorInfo {
             return Err("invalid signature length".to_owned());
         }
         let commit_sum = self.evaluator_nonce_commit + self.garbler_commit;
+
         let is_odd = is_odd(&commit_sum.into_affine().y);
+
+        let expected_encoded_commit =
+            fq_to_be32(&commit_sum.into_affine().x().expect("valid point"));
+        if garbler_sig[0..32] != expected_encoded_commit {
+            return Err("Unexpected nonce value".to_owned());
+        }
+
         let garbler_s = fr_from_be_bytes_mod_order(&garbler_sig[32..]);
         let diff = garbler_s - self.evaluator_s;
         Ok(if is_odd { -diff } else { diff })
@@ -106,6 +114,39 @@ impl AdaptorInfo {
     }
 }
 
+/// Represents an adaptor where a valid signature can be produced by revealing any one of the garbler secrets.
+pub struct WideAdaptorInfo(Vec<AdaptorInfo>);
+
+impl WideAdaptorInfo {
+    pub fn new<R: rand::Rng + ?Sized>(
+        evaluator_secret: &Fr,
+        garbler_commit: &[Projective],
+        message_hash: &[u8],
+        rng: &mut R,
+    ) -> Self {
+        let sigs = garbler_commit
+            .iter()
+            .map(|commit| AdaptorInfo::new(evaluator_secret, *commit, message_hash, rng))
+            .collect();
+        Self(sigs)
+    }
+    pub fn garbler_signature(&self, secret: &Fr) -> Result<SignatureBytes, String> {
+        let commit = Projective::generator() * secret;
+        Ok(self
+            .0
+            .iter()
+            .find(|x| x.garbler_commit == commit)
+            .ok_or("Secret does not correspond to any of the commits".to_owned())?
+            .garbler_signature(secret))
+    }
+    pub fn extract_secret(&self, garbler_sig: &[u8]) -> Result<Fr, String> {
+        self.0
+            .iter()
+            .find_map(|sig| sig.extract_secret(garbler_sig).ok())
+            .ok_or("No valid garbler signature found".to_owned())
+    }
+}
+
 #[cfg(test)]
 mod tests {
     use k256::schnorr::{Signature as KSig, SigningKey, VerifyingKey};
@@ -147,6 +188,46 @@ mod tests {
             .expect("secret should be extracted");
         assert_eq!(secret, garbler_secret_fr);
     }
+
+    #[test]
+    fn test_wide_adaptor_sig() {
+        let mut rng = rand::thread_rng();
+        let evaluator_privkey = SigningKey::random(&mut rng);
+        let evaluator_secret_fr = fr_from_sk(&evaluator_privkey);
+
+        let num_sigs = 32; // expected to be 256, but keeping it low to speed up tests
+
+        let garbler_secrets = (0..num_sigs)
+            .map(|_| Fr::rand(&mut rng))
+            .collect::<Vec<_>>();
+        let garbler_commits = garbler_secrets
+            .iter()
+            .map(|secret| Projective::generator() * secret)
+            .collect::<Vec<_>>();
+
+        let sighash = Sha256::digest(b"some message").to_vec();
+        let wide_adaptor = WideAdaptorInfo::new(
+            &evaluator_secret_fr,
+            &garbler_commits,
+            sighash.as_slice(),
+            &mut rng,
+        );
+
+        for garbler_secret in garbler_secrets {
+            let garbler_sig_bytes = wide_adaptor.garbler_signature(&garbler_secret).unwrap();
+            // Verify using k256 in test only
+            let verifying_key: VerifyingKey = *evaluator_privkey.verifying_key();
+            let ksig = KSig::try_from(garbler_sig_bytes.as_slice()).expect("valid sig");
+            verifying_key
+                .verify_raw(sighash.as_slice(), &ksig)
+                .expect("signature should be valid");
+
+            let extracted_secret = wide_adaptor
+                .extract_secret(&garbler_sig_bytes)
+                .expect("secret should be extracted");
+            assert_eq!(extracted_secret, garbler_secret);
+        }
+    }
 }
 
 #[cfg(test)]
@@ -154,8 +235,8 @@ mod bitvm_tests {
     use std::str::FromStr;
 
     use bitcoin::{
-        Address, Amount, Network, ScriptBuf, TapSighashType, Transaction, TxIn, TxOut, Witness,
-        XOnlyPublicKey,
+        Address, Amount, Network, ScriptBuf, TapSighash, TapSighashType, Transaction, TxIn, TxOut,
+        Witness, XOnlyPublicKey,
         absolute::LockTime,
         hashes::Hash,
         key::{Secp256k1, UntweakedPublicKey},
@@ -276,4 +357,115 @@ mod bitvm_tests {
         let res = bitvm::dry_run_taproot_input(&tx, 0, &prevouts[..]);
         assert!(res.success);
     }
+
+    #[test]
+    fn test_tx_multiple_sigs() {
+        let evaluator_privkey = SigningKey::random(&mut rand::thread_rng());
+        let evaluator_pubkey = evaluator_privkey.verifying_key().as_affine().x().to_vec();
+        let mut rng = rand::thread_rng();
+
+        let num_sigs = 3;
+
+        // assumes num_sigs >= 2
+        let script = script! {
+            { evaluator_pubkey.clone() }
+
+            for _ in 0..num_sigs - 1 {
+                OP_TUCK
+                OP_CHECKSIGVERIFY
+                OP_CODESEPARATOR
+            }
+
+            OP_CHECKSIG
+        }
+        .compile();
+
+        let spend_info = spend_info_from_script(script.clone());
+        let address = address_from_spend_info(&spend_info, Network::Testnet);
+        let mut tx = Transaction {
+            version: Version::TWO,
+            lock_time: LockTime::ZERO,
+            input: vec![TxIn::default()],
+            output: vec![TxOut {
+                value: Amount::from_sat(2000),
+                script_pubkey: address.script_pubkey(),
+            }],
+        };
+
+        // Provide a concrete prevout matching the spend script to compute taproot sighash
+        let prevouts = vec![TxOut {
+            value: Amount::from_sat(2000),
+            script_pubkey: address.script_pubkey(),
+        }];
+        let mut sighash_cache = SighashCache::new(&tx);
+
+        let sigs = (0..num_sigs)
+            .map(|i| {
+                let evaluator_secret_fr =
+                    fr_from_be_bytes_mod_order(evaluator_privkey.to_bytes().as_slice());
+
+                let garbler_secret_fr = Fr::rand(&mut rng);
+                let garbler_commit = Projective::generator() * garbler_secret_fr;
+
+                let mut enc = TapSighash::engine();
+                sighash_cache
+                    .taproot_encode_signing_data_to(
+                        &mut enc,
+                        0,
+                        &Prevouts::All(&prevouts),
+                        None,
+                        Some((
+                            ScriptPath::with_defaults(script.as_script()).into(),
+                            if i == 0 { 0xFFFFFFFF } else { 3 * i + 32 },
+                        )),
+                        TapSighashType::Default,
+                    )
+                    .unwrap();
+                let sighash = TapSighash::from_engine(enc).to_byte_array().to_vec();
+
+                let adaptor = AdaptorInfo::new(
+                    &evaluator_secret_fr,
+                    garbler_commit,
+                    sighash.as_slice(),
+                    &mut rng,
+                );
+
+                let garbler_sig_bytes = adaptor.garbler_signature(&garbler_secret_fr);
+                // Verify using k256 in test only
+                let verifying_key: VerifyingKey = *evaluator_privkey.verifying_key();
+                let ksig = KSig::try_from(garbler_sig_bytes.as_slice()).expect("valid sig");
+                verifying_key
+                    .verify_raw(sighash.as_slice(), &ksig)
+                    .expect("signature should be valid");
+
+                let secret = adaptor
+                    .extract_secret(&garbler_sig_bytes)
+                    .expect("secret should be extracted");
+                assert_eq!(secret, garbler_secret_fr);
+                garbler_sig_bytes.to_vec()
+            })
+            .collect::<Vec<_>>();
+
+        let control_block = spend_info
+            .control_block(&(script.clone(), LeafVersion::TapScript))
+            .unwrap()
+            .serialize();
+
+        tx.input[0].witness = [
+            sigs.iter().cloned().rev().collect::<Vec<_>>(),
+            vec![script.to_bytes(), control_block.clone()],
+        ]
+        .concat()
+        .into();
+        assert!(bitvm::dry_run_taproot_input(&tx, 0, &prevouts[..]).success);
+
+        // Test with different order of sigs: should fail
+        tx.input[0].witness = [
+            sigs.to_vec(),
+            vec![script.to_bytes(), control_block.clone()],
+        ]
+        .concat()
+        .into();
+        assert!(!bitvm::dry_run_taproot_input(&tx, 0, &prevouts[..]).success);
+    }
 }
diff --git a/src/cac/vsss.rs b/src/cac/vsss.rs
index cd9574e2..e0aee238 100644
--- a/src/cac/vsss.rs
+++ b/src/cac/vsss.rs
@@ -1,10 +1,12 @@
-use super::utils::neg_pos_sum_of_powers_of_two;
+use std::ops::{Add, Mul};
+
 use ark_ec::{PrimeGroup, scalar_mul::BatchMulPreprocessing};
 use ark_ff::{BigInteger, Field, One, PrimeField, UniformRand, Zero};
 use ark_secp256k1::{Fr, Projective};
 use rand::Rng;
 use serde::{Deserialize, Serialize};
-use std::ops::{Add, Mul};
+
+use super::utils::neg_pos_sum_of_powers_of_two;
 
 pub struct Secp256k1 {
     pub generator: BatchMulPreprocessing<Projective>,
@@ -343,14 +345,13 @@ pub fn lagrange_interpolate_whole_polynomial(
 
 #[cfg(test)]
 mod tests {
-    use std::time::Instant;
+    use std::{collections::HashSet, time::Instant};
 
     use ark_ec::ScalarMul;
-
-    use super::*;
     use rand::{SeedableRng, seq::index::sample};
     use rand_chacha::ChaCha20Rng;
-    use std::collections::HashSet;
+
+    use super::*;
 
     #[test]
     fn test_commit_verification() {
@@ -401,7 +402,7 @@ mod tests {
 
     #[test]
     fn test_interpolation() {
-        for (n_revealed, n_hidden) in vec![(5usize, 2usize), (100, 10), (175, 7)] {
+        for (n_revealed, n_hidden) in [(5usize, 2usize), (100, 10), (175, 7)] {
             // Assumes one of the revealed ones is 0, as it will be in application, includes it in the n_revealed ones
             let n_total = n_revealed + n_hidden;
             let mut seed_rng = ChaCha20Rng::seed_from_u64(42);
@@ -430,14 +431,14 @@ mod tests {
 
     #[test]
     fn test_suffix_interpolation() {
-        for (n_revealed, n_hidden) in vec![(5usize, 2usize), (100, 10), (175, 7)] {
+        for (n_revealed, n_hidden) in [(5usize, 2usize), (100, 10), (175, 7)] {
             // Assumes one of the revealed ones is 0, as it will be in application, includes it in the n_revealed ones
             let n_total = n_revealed + n_hidden;
             let seed_rng = ChaCha20Rng::seed_from_u64(42);
             let polynomial = Polynomial::rand(seed_rng, n_revealed - 1);
             let points = polynomial.shares(n_total);
             let answer = polynomial.eval_at_suffix_points::<false>(n_hidden);
-            for (x, y) in (n_revealed..n_total).into_iter().zip(answer.into_iter()) {
+            for (x, y) in (n_revealed..n_total).zip(answer.into_iter()) {
                 assert_eq!(points[x].1, y);
                 assert_eq!(polynomial.eval_at(x), y);
             }
diff --git a/src/cut_and_choose/ciphertext_repository.rs b/src/cut_and_choose/ciphertext_repository.rs
index fb5cb3bb..898b49b5 100644
--- a/src/cut_and_choose/ciphertext_repository.rs
+++ b/src/cut_and_choose/ciphertext_repository.rs
@@ -1,3 +1,5 @@
+//! Utilities for storing and streaming ciphertext blocks during the
+//! cut-and-choose protocol (see `docs/gsv_spec.md`, Step 3).
 use std::{
     fmt,
     fs::{self, File},
diff --git a/src/cut_and_choose/evaluator.rs b/src/cut_and_choose/evaluator.rs
index bfc89091..6ca28234 100644
--- a/src/cut_and_choose/evaluator.rs
+++ b/src/cut_and_choose/evaluator.rs
@@ -1,11 +1,19 @@
-use std::{error, fmt};
+//! Evaluator-side state machine for the cut-and-choose Setup phase (see
+//! `docs/gsv_spec.md`). The `Evaluator` mirrors the spec: it consumes `Commit₁`
+//! (`commit_phase_one`) data, samples the challenge set, requests `Commit₂`, and
+//! drives regarbling/opening plus soldering verification.
+use std::{error, fmt, mem};
 
+use itertools::*;
 use rand::Rng;
-use rayon::{iter::IntoParallelRefIterator, prelude::*};
+use rayon::prelude::*;
 use serde::{Deserialize, Serialize, de::DeserializeOwned};
 use tracing::{error, info};
 
-use super::{Config, garbler::GarbledInstanceCommit};
+use super::{
+    Config,
+    garbler::{CommitPhaseOne, CommitPhaseTwo},
+};
 use crate::{
     AESAccumulatingHash, AesNiHasher, EvaluatedWire, GarbleMode, GarbledWire, S, WireId,
     circuit::{
@@ -18,6 +26,47 @@ use crate::{
         write_commit_hex,
     },
 };
+#[cfg(feature = "sp1-soldering")]
+use crate::{
+    cut_and_choose::Sha256LabelCommitHasher,
+    sp1_soldering::{Sha256Commit, SolderInput, SolderedLabels, SolderingProof},
+};
+
+#[derive(Default, Clone, Debug, PartialEq, Eq, Serialize, Deserialize)]
+#[serde(bound = "H: LabelCommitHasher")]
+enum Stage<H: LabelCommitHasher> {
+    #[default]
+    Empty,
+    Created(Vec<CommitPhaseOne<H>>),
+    Filled {
+        first: Vec<CommitPhaseOne<H>>,
+        second: Vec<CommitPhaseTwo<H>>,
+        regarbled: bool,
+    },
+    #[cfg(feature = "sp1-soldering")]
+    Soldered {
+        first: Vec<CommitPhaseOne<H>>,
+        second: Vec<CommitPhaseTwo<H>>,
+        soldering_deltas: Vec<Vec<(S, S)>>,
+    },
+}
+
+impl<H: LabelCommitHasher> Stage<H> {
+    fn get_commit_if_ready(&self) -> Option<&[CommitPhaseOne<H>]> {
+        match self {
+            Stage::Empty => None,
+            Stage::Created(_) => None,
+            Stage::Filled {
+                first,
+                regarbled: true,
+                ..
+            } => Some(first),
+            #[cfg(feature = "sp1-soldering")]
+            Stage::Soldered { first, .. } => Some(first),
+            _ => None,
+        }
+    }
+}
 
 #[derive(Clone, Debug, PartialEq, Eq, Serialize, Deserialize)]
 #[serde(bound = "H: LabelCommitHasher")]
@@ -26,8 +75,12 @@ pub struct Evaluator<
     H: LabelCommitHasher = DefaultLabelCommitHasher,
 > {
     config: Config<I>,
-    commits: Vec<GarbledInstanceCommit<H>>,
+
+    /// To protect against the second-preimage of input-label hash, this nonce supplements the
+    /// commit from `Garbler`
+    nonce: S,
     to_finalize: Box<[usize]>,
+    stage: Stage<H>,
 }
 
 impl<I, H> Evaluator<I, H>
@@ -42,16 +95,14 @@ where
     H: LabelCommitHasher,
 {
     // Generate `to_finalize` with `rng` based on data on `Config`
-    pub fn create(
-        mut rng: impl Rng,
-        config: Config<I>,
-        commits: Vec<GarbledInstanceCommit<H>>,
-    ) -> Self {
+    pub fn create(mut rng: impl Rng, config: Config<I>, commits: Vec<CommitPhaseOne<H>>) -> Self {
         assert!(
             config.to_finalize <= config.total,
             "to_finalize must be <= total"
         );
 
+        assert_eq!(commits.len(), config.total);
+
         // Sample without replacement: shuffle 0..total and take first `to_finalize`
         let mut idxs: Vec<usize> = (0..config.total).collect();
         // Fisher-Yates with unbiased rng
@@ -63,14 +114,28 @@ where
         idxs.sort_unstable();
 
         Self {
-            commits,
+            stage: Stage::Created(commits),
             to_finalize: idxs.into_boxed_slice(),
             config,
+            nonce: S::from_u128(rng.r#gen()),
         }
     }
 
-    pub fn get_indexes_to_finalize(&self) -> &[usize] {
-        &self.to_finalize
+    pub fn fill_second_commit(&mut self, commits: Vec<CommitPhaseTwo<H>>) {
+        let first = match &mut self.stage {
+            Stage::Created(first) => mem::take(first),
+            _ => panic!("Can't fill second commit for filled `Evaluator`"),
+        };
+
+        self.stage = Stage::Filled {
+            first,
+            second: commits,
+            regarbled: false,
+        };
+    }
+
+    pub fn get_nonce(&self) -> S {
+        self.nonce
     }
 
     pub fn finalized_indexes(&self) -> &[usize] {
@@ -81,7 +146,7 @@ where
     // 2. For `Open` run `streaming_garbling` via rayon, where at the end it checks for a match with saved commits
     #[allow(clippy::result_unit_err)]
     pub fn run_regarbling<CSourceProvider, CHandlerProvider, F>(
-        &self,
+        &mut self,
         seeds: Vec<(usize, Seed)>,
         ciphertext_sources_provider: &CSourceProvider,
         ciphertext_handler_provider: &CHandlerProvider,
@@ -101,12 +166,25 @@ where
             + Sync
             + Copy,
     {
+        let Stage::Filled {
+            first,
+            second,
+            regarbled,
+        } = &mut self.stage
+        else {
+            panic!("Can't run regarbling for not filled Evaluator");
+        };
+
+        let iter = first.iter().zip_eq(second.iter()).enumerate();
+
+        let inputs = self.config.input.clone();
+        let to_finalize = &self.to_finalize;
+        let nonce = self.nonce;
+
         super::get_optimized_pool().install(|| {
-            self.commits
-                .par_iter()
-                .enumerate()
-                .map(|(index, commit)| {
-                    if self.to_finalize.contains(&index) {
+            iter.par_bridge()
+                .map(|(index, (first_commit, second_commit))| {
+                    if to_finalize.contains(&index) {
                         let mut source = match ciphertext_sources_provider.source_for(index) {
                             Ok(source) => source,
                             Err(err) => {
@@ -129,7 +207,7 @@ where
 
                         let computed_commit: CiphertextCommit = handler.finalize().into();
 
-                        if computed_commit != commit.ciphertext_commit() {
+                        if computed_commit != first_commit.ciphertext_hash() {
                             error!("ciphertext corrupted");
                             return Err(());
                         }
@@ -144,7 +222,7 @@ where
                             return Err(());
                         };
 
-                        let inputs = self.config.input.clone();
+                        let inputs = inputs.clone();
                         let hasher = AESAccumulatingHash::default();
 
                         let span = tracing::info_span!("regarble", instance = index);
@@ -164,10 +242,21 @@ where
                             builder,
                         );
 
-                        let regarbling_commit = GarbledInstanceCommit::<H>::new(&res.into());
+                        let res = res.into();
+                        let regarbling_first_commit = CommitPhaseOne::<H>::from_instance(&res);
+
+                        if &regarbling_first_commit != first_commit {
+                            error!("regarbling failed, first commit not equal");
+                            return Err(());
+                        }
+
+                        let regarbling_second_commit =
+                            CommitPhaseTwo::<H>::from_instance(&res, nonce);
 
-                        if &regarbling_commit != commit {
-                            error!("regarbling failed");
+                        if regarbling_second_commit.input_commitments()
+                            != second_commit.input_commitments()
+                        {
+                            error!("regarbling failed, second commit not equal");
                             return Err(());
                         }
 
@@ -177,11 +266,9 @@ where
                 .collect::<Result<Vec<()>, ()>>()
         })?;
 
-        Ok(())
-    }
+        *regarbled = true;
 
-    pub fn commits(&self) -> &[GarbledInstanceCommit<H>] {
-        &self.commits
+        Ok(())
     }
 }
 
@@ -189,8 +276,6 @@ where
 pub struct EvaluatorCaseInput<I> {
     pub index: usize,
     pub input: I,
-    pub true_constant_wire: u128,
-    pub false_constant_wire: u128,
 }
 
 /// Errors that can occur during consistency checking.
@@ -351,6 +436,8 @@ where
             + Sync
             + Copy,
     {
+        let commits = self.stage.get_commit_if_ready().unwrap();
+
         super::get_optimized_pool().install(|| {
             input_cases
                 .into_par_iter()
@@ -358,35 +445,11 @@ where
                     let EvaluatorCaseInput {
                         index,
                         input: eval_input,
-                        true_constant_wire,
-                        false_constant_wire,
                     } = case;
 
-                    let commit = &self.commits[index];
+                    let commit = &commits[index];
 
-                    let true_consatnt_wire_hash =
-                        commit_label_with::<H>(S::from_u128(true_constant_wire));
-
-                    if true_consatnt_wire_hash != commit.true_consatnt_wire_commit() {
-                        return Err(ConsistencyError::TrueConstantMismatch {
-                            index,
-                            expected: commit.true_consatnt_wire_commit(),
-                            actual: true_consatnt_wire_hash,
-                        });
-                    }
-
-                    let false_consatnt_wire_hash =
-                        commit_label_with::<H>(S::from_u128(false_constant_wire));
-
-                    if false_consatnt_wire_hash != commit.false_consatnt_wire_commit() {
-                        return Err(ConsistencyError::FalseConstantMismatch {
-                            index,
-                            expected: commit.false_consatnt_wire_commit(),
-                            actual: false_consatnt_wire_hash,
-                        });
-                    }
-
-                    let expected_input_commits = commit.input_labels_commit();
+                    let expected_input_commits = commit.input_commitments();
 
                     let source = match ciphertext_repo.source_for(index) {
                         Ok(src) => src,
@@ -404,8 +467,8 @@ where
                     >(
                         eval_input,
                         capacity,
-                        true_constant_wire,
-                        false_constant_wire,
+                        commit.true_constant(),
+                        commit.false_constant(),
                         source,
                         builder,
                     );
@@ -444,11 +507,12 @@ where
                         }
                     }
 
-                    let new_ciphertext_commit: CiphertextCommit = result.ciphertext_handler_result.into();
-                    if new_ciphertext_commit != commit.ciphertext_commit() {
+                    let new_ciphertext_commit: CiphertextCommit =
+                        result.ciphertext_handler_result.into();
+                    if new_ciphertext_commit != commit.ciphertext_hash() {
                         return Err(ConsistencyError::CiphertextMismatch {
                             index,
-                            expected: commit.ciphertext_commit(),
+                            expected: commit.ciphertext_hash(),
                             actual: new_ciphertext_commit,
                         });
                     }
@@ -456,9 +520,9 @@ where
                     let output_hash = commit_label_with::<H>(result.output_value.active_label);
 
                     let expected_output_hash = if result.output_value.value {
-                        commit.output_label1_commit()
+                        commit.output_commit_true()
                     } else {
-                        commit.output_label0_commit()
+                        commit.output_commit_false()
                     };
 
                     if output_hash != expected_output_hash {
@@ -475,3 +539,394 @@ where
         })
     }
 }
+
+/// Errors that can occur when verifying soldering data against local commits.
+#[cfg(feature = "sp1-soldering")]
+#[derive(Debug)]
+pub enum SolderingCheckError {
+    /// Unexpected size/layout of soldering data compared to local state
+    ShapeMismatch(&'static str),
+    /// Base instance per-wire commit mismatch
+    BaseCommitMismatch {
+        wire_index: usize,
+        which: &'static str,
+        expected: [u8; 32],
+        actual: [u8; 32],
+    },
+    /// Base instance per-wire nonce commit mismatch
+    BaseNonceCommitMismatch {
+        wire_index: usize,
+        which: &'static str,
+        expected: [u8; 32],
+        actual: [u8; 32],
+    },
+    /// Additional instance per-wire commit mismatch
+    InstanceCommitMismatch {
+        instance_index: usize,
+        wire_index: usize,
+        which: &'static str,
+        expected: [u8; 32],
+        actual: [u8; 32],
+    },
+    /// Failure during soldering verification
+    SolderingFailed(String),
+}
+
+#[cfg(feature = "sp1-soldering")]
+impl error::Error for SolderingCheckError {
+    fn source(&self) -> Option<&(dyn error::Error + 'static)> {
+        None
+    }
+}
+
+#[cfg(feature = "sp1-soldering")]
+impl fmt::Display for SolderingCheckError {
+    fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
+        match self {
+            Self::ShapeMismatch(msg) => write!(f, "soldering data shape mismatch: {}", msg),
+            Self::BaseCommitMismatch {
+                wire_index,
+                which,
+                expected,
+                actual,
+            } => {
+                write!(
+                    f,
+                    "base commit mismatch at wire {} ({}): expected 0x",
+                    wire_index, which
+                )?;
+                super::write_commit_hex(f, expected)?;
+                write!(f, ", got 0x")?;
+                super::write_commit_hex(f, actual)
+            }
+            Self::BaseNonceCommitMismatch {
+                wire_index,
+                which,
+                expected,
+                actual,
+            } => {
+                write!(
+                    f,
+                    "base nonce commit mismatch at wire {} ({}): expected 0x",
+                    wire_index, which
+                )?;
+                super::write_commit_hex(f, expected)?;
+                write!(f, ", got 0x")?;
+                super::write_commit_hex(f, actual)
+            }
+            Self::InstanceCommitMismatch {
+                instance_index,
+                wire_index,
+                which,
+                expected,
+                actual,
+            } => {
+                write!(
+                    f,
+                    "instance {} commit mismatch at wire {} ({}): expected 0x",
+                    instance_index, wire_index, which
+                )?;
+                super::write_commit_hex(f, expected)?;
+                write!(f, ", got 0x")?;
+                super::write_commit_hex(f, actual)
+            }
+            Self::SolderingFailed(msg) => write!(f, "soldering verification failed: {}", msg),
+        }
+    }
+}
+
+impl<I> Evaluator<I, super::Sha256LabelCommitHasher>
+where
+    I: CircuitInput + Clone + Send + Sync + Serialize + DeserializeOwned,
+{
+    /// Verify the garbler-provided soldering proof and compare its bound commitments
+    /// against local commits for the finalized instances. Returns the verified
+    /// soldering data (`SolderedLabels`) on success.
+    ///
+    /// Requirements:
+    /// - Local commits must be produced with a hasher that outputs 32 bytes
+    ///   (e.g., `Sha256LabelCommitHasher`) to compare with soldering commitments.
+    /// - The garbler must build the proof using the same `to_finalize` ordering,
+    ///   with the base at `to_finalize[0]` and additional instances following.
+    #[cfg(feature = "sp1-soldering")]
+    pub fn verify_soldering_against_commits(
+        &mut self,
+        proof: SolderingProof,
+    ) -> Result<SolderedLabels, SolderingCheckError> {
+        let Stage::Filled {
+            first: first_commits,
+            second: second_commits,
+            regarbled: true,
+        } = mem::take(&mut self.stage)
+        else {
+            panic!()
+        };
+
+        // First, get the base index to prepare commitments
+        let Some(&base_idx) = self.to_finalize.first() else {
+            return Err(SolderingCheckError::ShapeMismatch(
+                "to_finalize must contain at least one index",
+            ));
+        };
+
+        // Prepare base commitments
+        let base_commitment: Vec<(Sha256Commit, Sha256Commit)> = first_commits[base_idx]
+            .input_commitments()
+            .iter()
+            .map(|lc| (lc.commit_label0, lc.commit_label1))
+            .collect();
+
+        // Prepare base nonce commitments (from second commit which has nonce applied)
+        let base_nonce_commitment: Vec<(Sha256Commit, Sha256Commit)> = second_commits[base_idx]
+            .input_commitments()
+            .iter()
+            .map(|lc| (lc.commit_label0, lc.commit_label1))
+            .collect();
+
+        // Prepare commitments for additional instances
+        let additional_indexes = &self.to_finalize[1..];
+        let commitments: Vec<Vec<(Sha256Commit, Sha256Commit)>> = additional_indexes
+            .iter()
+            .map(|&idx| {
+                first_commits[idx]
+                    .input_commitments()
+                    .iter()
+                    .map(|lc| (lc.commit_label0, lc.commit_label1))
+                    .collect()
+            })
+            .collect();
+
+        // Extract proof and deltas
+        let SolderingProof {
+            proof: groth16_proof,
+            deltas,
+        } = proof;
+
+        // Verify using the new API
+        if !crate::sp1_soldering::verify_soldering(
+            SolderingProof {
+                proof: groth16_proof,
+                deltas: deltas.clone(),
+            },
+            base_commitment.clone(),
+            base_nonce_commitment.clone(),
+            self.nonce.to_u128(),
+            commitments.clone(),
+        ) {
+            return Err(SolderingCheckError::SolderingFailed(
+                "Soldering verification failed".to_string(),
+            ));
+        }
+
+        // Reconstruct the verified public params
+        let verified_public_params = SolderedLabels {
+            deltas: deltas.clone(),
+            base_commitment,
+            base_nonce_commitment,
+            nonce: self.nonce.to_u128(),
+            commitments,
+        };
+
+        let soldered_instances_indexes = &self.to_finalize[1..];
+
+        // Shape checks
+        let expected_wires = first_commits[base_idx].input_commitments().len();
+        if verified_public_params.base_commitment.len() != expected_wires {
+            return Err(SolderingCheckError::ShapeMismatch(
+                "base commitment wire count",
+            ));
+        }
+        if verified_public_params.deltas.len() != soldered_instances_indexes.len() {
+            return Err(SolderingCheckError::ShapeMismatch(
+                "deltas count vs additional instances",
+            ));
+        }
+        if verified_public_params.commitments.len() != soldered_instances_indexes.len() {
+            return Err(SolderingCheckError::ShapeMismatch(
+                "commitments count vs additional instances",
+            ));
+        }
+        for (j, &inst_idx) in soldered_instances_indexes.iter().enumerate() {
+            if first_commits[inst_idx].input_commitments().len() != expected_wires
+                || verified_public_params.commitments[j].len() != expected_wires
+                || verified_public_params.deltas[j].len() != expected_wires
+            {
+                return Err(SolderingCheckError::ShapeMismatch(
+                    "per-instance wire count",
+                ));
+            }
+        }
+
+        info!(
+            base = base_idx,
+            extra = soldered_instances_indexes.len(),
+            wires = expected_wires,
+            "verifying soldering commits against local commits"
+        );
+
+        // Compare base instance per-wire commitments
+        let base_local = &first_commits[base_idx];
+        for (wire_idx, base_pair) in base_local.input_commitments().iter().enumerate() {
+            let (exp0, exp1) = verified_public_params.base_commitment[wire_idx];
+
+            if base_pair.commit_label0 != exp0 {
+                return Err(SolderingCheckError::BaseCommitMismatch {
+                    wire_index: wire_idx,
+                    which: "label0",
+                    expected: exp0,
+                    actual: base_pair.commit_label0,
+                });
+            }
+
+            if base_pair.commit_label1 != exp1 {
+                return Err(SolderingCheckError::BaseCommitMismatch {
+                    wire_index: wire_idx,
+                    which: "label1",
+                    expected: exp1,
+                    actual: base_pair.commit_label1,
+                });
+            }
+        }
+
+        // Verify nonce commitments for base instance
+        // The second commit for base instance should have the nonce applied
+        let base_second = &second_commits[base_idx];
+
+        for (wire_idx, (nonce_commit, nonce_local_commit)) in verified_public_params
+            .base_nonce_commitment
+            .iter()
+            .zip(base_second.input_commitments().iter())
+            .enumerate()
+        {
+            // Verify label0 with nonce
+            if nonce_commit.0 != nonce_local_commit.commit_label0 {
+                return Err(SolderingCheckError::BaseNonceCommitMismatch {
+                    wire_index: wire_idx,
+                    which: "label0_with_nonce",
+                    expected: nonce_local_commit.commit_label0,
+                    actual: nonce_commit.0,
+                });
+            }
+
+            // Verify label1 with nonce
+            if nonce_commit.1 != nonce_local_commit.commit_label1 {
+                return Err(SolderingCheckError::BaseNonceCommitMismatch {
+                    wire_index: wire_idx,
+                    which: "label1_with_nonce",
+                    expected: nonce_local_commit.commit_label1,
+                    actual: nonce_commit.1,
+                });
+            }
+        }
+
+        // Compare additional instances per-wire commitments
+        for (j, &inst_idx) in soldered_instances_indexes.iter().enumerate() {
+            let local = &first_commits[inst_idx];
+
+            for (wire_idx, local_pair) in local.input_commitments().iter().enumerate() {
+                let (exp0, exp1) = verified_public_params.commitments[j][wire_idx];
+
+                if local_pair.commit_label0 != exp0 {
+                    return Err(SolderingCheckError::InstanceCommitMismatch {
+                        instance_index: inst_idx,
+                        wire_index: wire_idx,
+                        which: "label0",
+                        expected: exp0,
+                        actual: local_pair.commit_label0,
+                    });
+                }
+
+                if local_pair.commit_label1 != exp1 {
+                    return Err(SolderingCheckError::InstanceCommitMismatch {
+                        instance_index: inst_idx,
+                        wire_index: wire_idx,
+                        which: "label1",
+                        expected: exp1,
+                        actual: local_pair.commit_label1,
+                    });
+                }
+            }
+        }
+
+        // Convert deltas from u128 to S and persist for later evaluate step
+        let soldering_deltas_s: Vec<Vec<(S, S)>> = verified_public_params
+            .deltas
+            .iter()
+            .map(|instance_deltas| {
+                instance_deltas
+                    .iter()
+                    .map(|(d0, d1)| (S::from_u128(*d0), S::from_u128(*d1)))
+                    .collect()
+            })
+            .collect();
+
+        self.stage = Stage::Soldered {
+            first: first_commits,
+            second: second_commits,
+            soldering_deltas: soldering_deltas_s,
+        };
+
+        Ok(verified_public_params)
+    }
+}
+
+#[cfg(feature = "sp1-soldering")]
+impl<I> Evaluator<I, Sha256LabelCommitHasher>
+where
+    I: CircuitInput + Clone + Send + Sync + Serialize + DeserializeOwned,
+{
+    #[allow(clippy::result_large_err)]
+    pub fn evaluate_with_soldered_instances_from<E, F, CR>(
+        &self,
+        ciphertext_repo: &CR,
+        base_case: EvaluatorCaseInput<E>,
+        capacity: usize,
+        builder: F,
+    ) -> Result<Vec<(usize, EvaluatedWire)>, ConsistencyError<Sha256LabelCommitHasher>>
+    where
+        E: CircuitInput + Send + EncodeInput<EvaluateMode<AesNiHasher, CR::Source>> + SolderInput,
+        CR: 'static + CiphertextSourceProvider + Send + Sync,
+        <CR::Source as CiphertextSource>::Result: Into<CiphertextCommit>,
+        F: Fn(&mut StreamingMode<EvaluateMode<AesNiHasher, CR::Source>>, &E::WireRepr) -> WireId
+            + Send
+            + Sync
+            + Copy,
+    {
+        let finalized = self.to_finalize.clone();
+        assert!(
+            !finalized.is_empty(),
+            "no finalized instances; evaluator not initialized?"
+        );
+
+        // Ensure base case index matches our base finalized index
+        let base_index = finalized[0];
+        assert_eq!(
+            base_case.index, base_index,
+            "base_case.index must equal first finalized index"
+        );
+
+        let Stage::Soldered {
+            soldering_deltas: deltas,
+            ..
+        } = &self.stage
+        else {
+            panic!()
+        };
+
+        // Build input cases: base + derived for each additional finalized index
+        let mut cases: Vec<EvaluatorCaseInput<E>> = Vec::with_capacity(finalized.len());
+        cases.push(base_case);
+
+        for (j, &inst_idx) in finalized.iter().enumerate().skip(1) {
+            let per_wire = &deltas[j - 1];
+            let derived_input = cases[0].input.solder(per_wire);
+
+            cases.push(EvaluatorCaseInput {
+                index: inst_idx,
+                input: derived_input,
+            });
+        }
+
+        self.evaluate_from(ciphertext_repo, cases, capacity, builder)
+    }
+}
diff --git a/src/cut_and_choose/garbler.rs b/src/cut_and_choose/garbler.rs
index d957251d..b7ab2e46 100644
--- a/src/cut_and_choose/garbler.rs
+++ b/src/cut_and_choose/garbler.rs
@@ -1,3 +1,7 @@
+//! Garbler-side orchestration for the cut-and-choose Setup phase described in
+//! `docs/gsv_spec.md`. The API mirrors the protocol steps: `commit_phase_one`
+//! produces the `Commit₁` payload, `commit_phase_two` covers `Commit₂`, and
+//! `open_commit` implements the challenge/opening flow.
 use std::{
     mem,
     thread::{self, JoinHandle},
@@ -8,8 +12,10 @@ use rayon::{iter::IntoParallelRefIterator, prelude::*};
 use serde::{Deserialize, Serialize};
 use tracing::info;
 
+#[cfg(feature = "sp1-soldering")]
+use crate::sp1_soldering::{self, SolderingProof};
 use crate::{
-    AESAccumulatingHash, AesNiHasher, GarbleMode, GarbledWire, WireId,
+    AESAccumulatingHash, AesNiHasher, GarbleMode, GarbledWire, S, WireId,
     circuit::{
         CiphertextHandler, CircuitBuilder, CircuitInput, EncodeInput, StreamingMode,
         StreamingResult,
@@ -58,88 +64,115 @@ impl<I: CircuitInput>
     }
 }
 
+/// `Commit₁(i)` payload containing ciphertext hash, per-wire input commits,
+/// output commits, and constant wire values (spec Step 1.2).
 #[derive(Clone, Debug, Serialize, Deserialize, Eq)]
 #[serde(bound = "H: LabelCommitHasher")]
-pub struct GarbledInstanceCommit<H: LabelCommitHasher = DefaultLabelCommitHasher> {
-    ciphertext_commit: CiphertextCommit,
-    input_labels_commit: Vec<LabelCommit<H::Output>>,
-    // Separate commits for output labels: one for label1 and one for label0
+pub struct CommitPhaseOne<H: LabelCommitHasher = DefaultLabelCommitHasher> {
+    ciphertext_hash: CiphertextCommit,
+    input_commitments: Vec<LabelCommit<H::Output>>,
+    /// Commitment to the active output label when the circuit output is `true`.
     output_label1_commit: H::Output,
+    /// Commitment to the active output label when the circuit output is `false`.
     output_label0_commit: H::Output,
-    true_constant_commit: H::Output,
-    false_constant_commit: H::Output,
+    true_constant: u128,
+    false_constant: u128,
 }
 
-impl<H: LabelCommitHasher> PartialEq for GarbledInstanceCommit<H> {
+impl<H: LabelCommitHasher> PartialEq for CommitPhaseOne<H> {
     fn eq(&self, other: &Self) -> bool {
-        self.ciphertext_commit == other.ciphertext_commit
-            && self.input_labels_commit == other.input_labels_commit
+        self.ciphertext_hash == other.ciphertext_hash
+            && self.input_commitments == other.input_commitments
             && self.output_label1_commit == other.output_label1_commit
             && self.output_label0_commit == other.output_label0_commit
-            && self.true_constant_commit == other.true_constant_commit
-            && self.false_constant_commit == other.false_constant_commit
+            && self.true_constant == other.true_constant
+            && self.false_constant == other.false_constant
     }
 }
 
-impl<H: LabelCommitHasher> GarbledInstanceCommit<H> {
-    pub fn new(instance: &GarbledInstance) -> Self {
+impl<H: LabelCommitHasher> CommitPhaseOne<H> {
+    /// Recompute the `Commit₁` payload (without nonce injection) for a garbled instance.
+    pub fn from_instance(instance: &GarbledInstance) -> Self {
         Self {
-            ciphertext_commit: instance.ciphertext_handler_result,
-            input_labels_commit: Self::commit_garbled_wires(&instance.input_wire_values),
-
-            output_label1_commit: Self::commit_label1(&instance.output_wire_values),
-
-            output_label0_commit: Self::commit_label0(&instance.output_wire_values),
-
-            true_constant_commit: commit_label_with::<H>(instance.true_wire_constant.select(true)),
-            false_constant_commit: commit_label_with::<H>(
-                instance.false_wire_constant.select(false),
-            ),
+            ciphertext_hash: instance.ciphertext_handler_result,
+            input_commitments: commit_input_wires::<H>(&instance.input_wire_values, None),
+            output_label1_commit: commit_output_label1::<H>(&instance.output_wire_values),
+            output_label0_commit: commit_output_label0::<H>(&instance.output_wire_values),
+            true_constant: instance.true_wire_constant.select(true).to_u128(),
+            false_constant: instance.false_wire_constant.select(false).to_u128(),
         }
     }
 
-    pub fn commit_garbled_wires(inputs: &[GarbledWire]) -> Vec<LabelCommit<H::Output>> {
-        inputs
-            .iter()
-            .map(|GarbledWire { label0, label1 }| {
-                LabelCommit::<H::Output>::new::<H>(*label0, *label1)
-            })
-            .collect()
-    }
-
-    fn commit_label1(input: &GarbledWire) -> H::Output {
-        commit_label_with::<H>(input.label1)
+    pub fn ciphertext_hash(&self) -> CiphertextCommit {
+        self.ciphertext_hash
     }
 
-    fn commit_label0(input: &GarbledWire) -> H::Output {
-        commit_label_with::<H>(input.label0)
+    pub fn input_commitments(&self) -> &[LabelCommit<H::Output>] {
+        &self.input_commitments
     }
 
-    pub fn output_label1_commit(&self) -> H::Output {
+    pub fn output_commit_true(&self) -> H::Output {
         self.output_label1_commit
     }
 
-    pub fn output_label0_commit(&self) -> H::Output {
+    pub fn output_commit_false(&self) -> H::Output {
         self.output_label0_commit
     }
 
-    pub fn true_consatnt_wire_commit(&self) -> H::Output {
-        self.true_constant_commit
+    pub fn true_constant(&self) -> u128 {
+        self.true_constant
+    }
+
+    pub fn false_constant(&self) -> u128 {
+        self.false_constant
     }
+}
+
+/// `Commit₂(i)` payload containing nonce-blended per-wire input commitments
+/// (spec Step 1.4).
+#[derive(Clone, Debug, Eq, PartialEq, Serialize, Deserialize)]
+#[serde(bound = "H: LabelCommitHasher")]
+pub struct CommitPhaseTwo<H: LabelCommitHasher = DefaultLabelCommitHasher> {
+    input_commitments: Vec<LabelCommit<H::Output>>,
+}
 
-    pub fn false_consatnt_wire_commit(&self) -> H::Output {
-        self.false_constant_commit
+impl<H: LabelCommitHasher> CommitPhaseTwo<H> {
+    /// Recompute the `Commit₂` payload (with nonce injection) for a garbled instance.
+    pub fn from_instance(instance: &GarbledInstance, nonce: S) -> Self {
+        Self {
+            input_commitments: commit_input_wires::<H>(&instance.input_wire_values, Some(nonce)),
+        }
     }
 
-    pub fn ciphertext_commit(&self) -> CiphertextCommit {
-        self.ciphertext_commit
+    pub fn input_commitments(&self) -> &[LabelCommit<H::Output>] {
+        &self.input_commitments
     }
 
-    pub fn input_labels_commit(&self) -> &[LabelCommit<H::Output>] {
-        &self.input_labels_commit
+    pub fn into_inner(self) -> Vec<LabelCommit<H::Output>> {
+        self.input_commitments
     }
 }
 
+fn commit_output_label1<H: LabelCommitHasher>(wire: &GarbledWire) -> H::Output {
+    commit_label_with::<H>(wire.label1)
+}
+
+fn commit_output_label0<H: LabelCommitHasher>(wire: &GarbledWire) -> H::Output {
+    commit_label_with::<H>(wire.label0)
+}
+
+fn commit_input_wires<H: LabelCommitHasher>(
+    inputs: &[GarbledWire],
+    nonce: Option<S>,
+) -> Vec<LabelCommit<H::Output>> {
+    inputs
+        .iter()
+        .map(|GarbledWire { label0, label1 }| {
+            LabelCommit::<H::Output>::new::<H>(*label0, *label1, &nonce)
+        })
+        .collect()
+}
+
 pub enum OpenForInstance {
     Open(usize, Seed),
     Closed {
@@ -175,6 +208,8 @@ pub struct Garbler<I: CircuitInput + Clone> {
     instances: Vec<GarbledInstance>,
     config: Config<I>,
     live_capacity: usize,
+    /// Nonce received from evaluator, stored for internal use in `commit_phase_two` and `do_soldering`
+    nonce: Option<S>,
 }
 
 impl<I> Garbler<I>
@@ -238,21 +273,39 @@ where
             instances,
             live_capacity,
             config,
+            nonce: None,
         }
     }
 
-    pub fn commit(&self) -> Vec<GarbledInstanceCommit> {
-        self.commit_with_hasher::<DefaultLabelCommitHasher>()
+    /// Produce the `Commit₁` transcript for every garbled instance (spec Step 1.2).
+    pub fn commit_phase_one<HHasher>(&self) -> Vec<CommitPhaseOne<HHasher>>
+    where
+        HHasher: LabelCommitHasher,
+    {
+        self.instances
+            .iter()
+            .map(CommitPhaseOne::<HHasher>::from_instance)
+            .collect()
     }
 
-    pub fn commit_with_hasher<HHasher>(&self) -> Vec<GarbledInstanceCommit<HHasher>>
+    /// Produce the `Commit₂` transcript (nonce-injected input commitments; spec Step 1.4).
+    /// Stores the nonce internally for use in `do_soldering`.
+    /// If called multiple times, the nonce must be the same; otherwise panics.
+    pub fn commit_phase_two<HHasher>(&mut self, nonce: S) -> Vec<CommitPhaseTwo<HHasher>>
     where
         HHasher: LabelCommitHasher,
     {
-        // Build commits in parallel; independent per instance
+        if let Some(existing_nonce) = self.nonce {
+            if existing_nonce != nonce {
+                panic!("Different nonce provided to commit_phase_two; nonce must be consistent");
+            }
+        } else {
+            self.nonce = Some(nonce);
+        }
+
         self.instances
             .iter()
-            .map(GarbledInstanceCommit::<HHasher>::new)
+            .map(|instance| CommitPhaseTwo::<HHasher>::from_instance(instance, self.nonce.unwrap()))
             .collect()
     }
 
@@ -318,6 +371,30 @@ where
             .collect()
     }
 
+    #[cfg(feature = "sp1-soldering")]
+    pub fn do_soldering(&self) -> SolderingProof {
+        let nonce = self
+            .nonce
+            .expect("Nonce must be set before calling do_soldering");
+        let GarblerStage::PreparedForEval { indexes_to_eval } = &self.stage else {
+            panic!("Garbler not ready to soldering")
+        };
+
+        let mut indexes_to_eval = indexes_to_eval.clone();
+        indexes_to_eval.sort();
+
+        // Collect all instances (base + additional) into a single vector
+        let mut all_instances = Vec::new();
+        for &index in indexes_to_eval.iter() {
+            all_instances.push(self.instances[index].input_wire_values.clone());
+        }
+
+        // Convert nonce from S to u128
+        let nonce = nonce.to_u128();
+
+        sp1_soldering::prove_soldering(all_instances, nonce)
+    }
+
     /// Return the constant labels for true/false as u128 words for a given instance.
     pub fn true_wire_constant_for(&self, index: usize) -> u128 {
         self.instances[index]
diff --git a/src/cut_and_choose/groth16.rs b/src/cut_and_choose/groth16.rs
index 6ed94ade..7a42b87d 100644
--- a/src/cut_and_choose/groth16.rs
+++ b/src/cut_and_choose/groth16.rs
@@ -1,9 +1,15 @@
+//! Groth16-specific wrappers around the generic cut-and-choose API so callers
+//! can mirror the protocol described in `docs/gsv_spec.md` with minimal glue.
+#[cfg(feature = "sp1-soldering")]
+use garbled_groth16::{EvaluatedCompressedG1Wires, EvaluatedCompressedG2Wires, EvaluatedFrWires};
 use rand::Rng;
 use serde::{Deserialize, Serialize};
 
-pub use crate::cut_and_choose::{GarbledInstanceCommit, LabelCommitHasher, OpenForInstance, Seed};
+pub use crate::cut_and_choose::{
+    CommitPhaseOne, CommitPhaseTwo, LabelCommitHasher, OpenForInstance, Seed,
+};
 use crate::{
-    EvaluatedWire, GarbledWire,
+    EvaluatedWire, GarbledWire, S,
     circuit::{CiphertextHandler, CiphertextSource},
     cut_and_choose::{
         self as generic, CiphertextCommit, CiphertextHandlerProvider, CiphertextSourceProvider,
@@ -34,15 +40,18 @@ impl Garbler {
         Self { inner }
     }
 
-    pub fn commit(&self) -> Vec<GarbledInstanceCommit> {
-        self.inner.commit()
+    pub fn commit_phase_one<HHasher>(&self) -> Vec<CommitPhaseOne<HHasher>>
+    where
+        HHasher: LabelCommitHasher,
+    {
+        self.inner.commit_phase_one::<HHasher>()
     }
 
-    pub fn commit_with_hasher<HHasher>(&self) -> Vec<GarbledInstanceCommit<HHasher>>
+    pub fn commit_phase_two<HHasher>(&mut self, nonce: S) -> Vec<CommitPhaseTwo<HHasher>>
     where
         HHasher: LabelCommitHasher,
     {
-        self.inner.commit_with_hasher::<HHasher>()
+        self.inner.commit_phase_two::<HHasher>(nonce)
     }
 
     pub fn open_commit<CTH: 'static + Send + CiphertextHandler>(
@@ -90,12 +99,7 @@ impl Garbler {
                     self.input_labels_for(*idx),
                 );
 
-                EvaluatorCaseInput {
-                    index: *idx,
-                    input,
-                    true_constant_wire: self.true_wire_constant_for(*idx),
-                    false_constant_wire: self.false_wire_constant_for(*idx),
-                }
+                EvaluatorCaseInput { index: *idx, input }
             })
             .collect()
     }
@@ -103,6 +107,11 @@ impl Garbler {
     pub fn output_wire(&self, index: usize) -> Option<&GarbledWire> {
         self.inner.output_wire(index)
     }
+
+    #[cfg(feature = "sp1-soldering")]
+    pub fn do_soldering(&self) -> crate::sp1_soldering::SolderingProof {
+        self.inner.do_soldering()
+    }
 }
 
 #[derive(Clone, Debug, PartialEq, Serialize, Deserialize)]
@@ -113,15 +122,19 @@ pub struct Evaluator<HHasher: LabelCommitHasher = DefaultLabelCommitHasher> {
 
 impl<H: LabelCommitHasher> Evaluator<H> {
     // Generate `to_finalize` with `rng` based on data on `Config`
-    pub fn create(rng: impl Rng, config: Config, commits: Vec<GarbledInstanceCommit<H>>) -> Self {
+    pub fn create(rng: impl Rng, config: Config, commits: Vec<CommitPhaseOne<H>>) -> Self {
         let inner = generic::Evaluator::<garbled_groth16::GarblerCompressedInput, H>::create(
             rng, config, commits,
         );
         Self { inner }
     }
 
-    pub fn get_indexes_to_finalize(&self) -> &[usize] {
-        self.inner.get_indexes_to_finalize()
+    pub fn fill_second_commit(&mut self, commits: Vec<CommitPhaseTwo<H>>) {
+        self.inner.fill_second_commit(commits);
+    }
+
+    pub fn get_nonce(&self) -> S {
+        self.inner.get_nonce()
     }
 
     pub fn finalized_indexes(&self) -> &[usize] {
@@ -130,7 +143,7 @@ impl<H: LabelCommitHasher> Evaluator<H> {
 
     #[allow(clippy::result_unit_err)]
     pub fn run_regarbling<CSourceProvider, CHandlerProvider>(
-        &self,
+        &mut self,
         seeds: Vec<(usize, Seed)>,
         ciphertext_sources_provider: &CSourceProvider,
         ciphertext_sink_provider: &CHandlerProvider,
@@ -149,10 +162,6 @@ impl<H: LabelCommitHasher> Evaluator<H> {
             garbled_groth16::verify_compressed,
         )
     }
-
-    pub fn commits(&self) -> &[GarbledInstanceCommit<H>] {
-        self.inner.commits()
-    }
 }
 
 pub type EvaluatorCaseInput =
@@ -183,3 +192,98 @@ impl<H: LabelCommitHasher> Evaluator<H> {
         )
     }
 }
+
+// Implement SolderInput to allow creating derived instances from base instance with deltas
+#[cfg(feature = "sp1-soldering")]
+use crate::sp1_soldering::SolderInput;
+
+#[cfg(feature = "sp1-soldering")]
+impl SolderInput for garbled_groth16::EvaluatorCompressedInput {
+    fn solder(
+        &self,
+        per_wire: &[(crate::S, crate::S)],
+    ) -> garbled_groth16::EvaluatorCompressedInput {
+        let mut it = per_wire.iter();
+
+        let mut map_wire = |ew: &EvaluatedWire| -> EvaluatedWire {
+            let (d0, d1) = *it.next().expect("delta length matches input wires");
+            let delta = if ew.value { d1 } else { d0 };
+            EvaluatedWire::new(ew.active_label ^ &delta, ew.value)
+        };
+
+        let map_fr =
+            |fr: &garbled_groth16::EvaluatedFrWires,
+             map_wire: &mut dyn FnMut(&EvaluatedWire) -> EvaluatedWire| {
+                EvaluatedFrWires(fr.0.iter().map(map_wire).collect())
+            };
+
+        let public = self
+            .public
+            .iter()
+            .map(|fr| map_fr(fr, &mut map_wire))
+            .collect();
+
+        let a_x = map_fr(&self.a.x, &mut map_wire);
+        let a_y_flag = map_wire(&self.a.y_flag);
+
+        let b_x0 = map_fr(&self.b.x[0], &mut map_wire);
+        let b_x1 = map_fr(&self.b.x[1], &mut map_wire);
+        let b_y_flag = map_wire(&self.b.y_flag);
+
+        let c_x = map_fr(&self.c.x, &mut map_wire);
+        let c_y_flag = map_wire(&self.c.y_flag);
+
+        garbled_groth16::EvaluatorCompressedInput {
+            public,
+            a: EvaluatedCompressedG1Wires {
+                x: a_x,
+                y_flag: a_y_flag,
+            },
+            b: EvaluatedCompressedG2Wires {
+                x: [b_x0, b_x1],
+                y_flag: b_y_flag,
+            },
+            c: EvaluatedCompressedG1Wires {
+                x: c_x,
+                y_flag: c_y_flag,
+            },
+            vk: self.vk.clone(),
+        }
+    }
+}
+
+#[cfg(feature = "sp1-soldering")]
+impl Evaluator<generic::Sha256LabelCommitHasher> {
+    pub fn verify_soldering_against_commits(
+        &mut self,
+        proof: crate::sp1_soldering::SolderingProof,
+    ) -> Result<crate::sp1_soldering::SolderedLabels, generic::SolderingCheckError> {
+        self.inner.verify_soldering_against_commits(proof)
+    }
+
+    /// Evaluate all finalized instances using a single base set of input labels,
+    /// reconstructing the rest from previously verified soldering deltas.
+    ///
+    /// Requirements:
+    /// - Call `verify_soldering_against_commits` first; this stores the deltas.
+    /// - `base_case.index` must equal the first finalized index (the base).
+    /// - No additional constants are required; constants are derived from commits.
+    #[allow(clippy::result_large_err)]
+    pub fn run_evaluate_with_soldered_instances<
+        CR: 'static + CiphertextSourceProvider + Send + Sync,
+    >(
+        &self,
+        ciphertext_repo: &CR,
+        base_case: EvaluatorCaseInput,
+    ) -> Result<Vec<(usize, EvaluatedWire)>, ConsistencyError<generic::Sha256LabelCommitHasher>>
+    where
+        <CR::Source as CiphertextSource>::Result: Into<CiphertextCommit>,
+    {
+        self.inner.evaluate_with_soldered_instances_from(
+            ciphertext_repo,
+            base_case,
+            DEFAULT_CAPACITY,
+            garbled_groth16::verify_compressed,
+        )
+    }
+}
diff --git a/src/cut_and_choose/mod.rs b/src/cut_and_choose/mod.rs
index 749147db..7b941326 100644
--- a/src/cut_and_choose/mod.rs
+++ b/src/cut_and_choose/mod.rs
@@ -1,12 +1,21 @@
+//! Cut-and-choose protocol primitives that implement the Setup and Evaluate
+//! phases described in `docs/gsv_spec.md`. The submodules expose garbler and
+//! evaluator roles plus utilities for ciphertext storage.
 use std::{
     fmt,
+    ops::BitXor,
     sync::{Arc, OnceLock},
 };
 
 use rayon::{ThreadPool, ThreadPoolBuilder};
 use serde::{Deserialize, Serialize};
 
-use crate::{S, circuit::CircuitInput, hashers};
+// Re-export the label commit hashers from hashers module
+pub use crate::hashers::{
+    AesLabelCommitHasher, Commit, DefaultLabelCommitHasher, LabelCommitHasher,
+    Sha256LabelCommitHasher, commit_label_with,
+};
+use crate::{S, circuit::CircuitInput};
 
 pub mod ciphertext_repository;
 pub mod evaluator;
@@ -22,34 +31,7 @@ pub type Seed = u64;
 
 pub type CiphertextCommit = [u8; 16];
 
-pub trait LabelCommitHasher: fmt::Debug {
-    type Output: Copy
-        + fmt::Debug
-        + Eq
-        + Send
-        + Sync
-        + Serialize
-        + for<'de> serde::Deserialize<'de>
-        + AsRef<[u8]>;
-
-    fn hash_label(label: S) -> Self::Output;
-}
-
-#[derive(Clone, Copy, Debug, Default, PartialEq, Eq, Serialize, Deserialize)]
-pub struct AesLabelCommitHasher;
-
-impl LabelCommitHasher for AesLabelCommitHasher {
-    type Output = [u8; 16];
-
-    fn hash_label(label: S) -> Self::Output {
-        hashers::aes_ni::aes128_encrypt_block_static(label.to_bytes())
-            .expect("AES backend should be available (HW or software)")
-    }
-}
-
-pub type DefaultLabelCommitHasher = AesLabelCommitHasher;
-pub type Commit = <DefaultLabelCommitHasher as LabelCommitHasher>::Output;
-
+/// Per-wire label commitments used in both `Commit₁` and `Commit₂`.
 #[derive(Debug, Serialize, Deserialize, Clone, PartialEq, Eq)]
 pub struct LabelCommit<H: Clone + Copy> {
     pub commit_label0: H,
@@ -57,10 +39,21 @@ pub struct LabelCommit<H: Clone + Copy> {
 }
 
 impl<H: Clone + Copy> LabelCommit<H> {
-    pub fn new<Hasher: LabelCommitHasher<Output = H>>(label0: S, label1: S) -> Self {
-        Self {
-            commit_label0: commit_label_with::<Hasher>(label0),
-            commit_label1: commit_label_with::<Hasher>(label1),
+    /// Hash both labels, optionally XOR-ing a nonce before hashing (spec Step 1.4).
+    pub fn new<Hasher: LabelCommitHasher<Output = H>>(
+        label0: S,
+        label1: S,
+        nonce: &Option<S>,
+    ) -> Self {
+        match nonce {
+            Some(nonce) => Self {
+                commit_label0: commit_label_with::<Hasher>(label0.bitxor(nonce)),
+                commit_label1: commit_label_with::<Hasher>(label1.bitxor(nonce)),
+            },
+            None => Self {
+                commit_label0: commit_label_with::<Hasher>(label0),
+                commit_label1: commit_label_with::<Hasher>(label1),
+            },
         }
     }
 
@@ -87,10 +80,6 @@ pub fn commit_label(label: S) -> Commit {
     commit_label_with::<DefaultLabelCommitHasher>(label)
 }
 
-pub fn commit_label_with<H: LabelCommitHasher>(label: S) -> H::Output {
-    H::hash_label(label)
-}
-
 pub(crate) fn write_commit_hex(f: &mut fmt::Formatter<'_>, bytes: &[u8]) -> fmt::Result {
     for byte in bytes.iter() {
         write!(f, "{:02x}", byte)?;
@@ -98,7 +87,11 @@ pub(crate) fn write_commit_hex(f: &mut fmt::Formatter<'_>, bytes: &[u8]) -> fmt:
     Ok(())
 }
 
-/// Protocol configuration shared by Garbler/Evaluator.
+/// Protocol configuration shared by Garbler and Evaluator.
+///
+/// Corresponds to the `(n, f, input)` tuple in `docs/gsv_spec.md`, where `n`
+/// is the total number of garbled instances and `f` is the size of the
+/// evaluation set selected during Step 2 (challenging).
 #[derive(Clone, Debug, PartialEq, Eq, Serialize, Deserialize)]
 pub struct Config<I: CircuitInput> {
     total: usize,
@@ -107,6 +100,9 @@ pub struct Config<I: CircuitInput> {
 }
 
 impl<I: CircuitInput> Config<I> {
+    /// Create a new configuration with the total instance count, the number
+    /// of finalized instances, and the compressed circuit input shared between
+    /// garbler and evaluator.
     pub fn new(total: usize, to_finalize: usize, input: I) -> Self {
         Self {
             total,
@@ -115,14 +111,17 @@ impl<I: CircuitInput> Config<I> {
         }
     }
 
+    /// Total number of garbled circuits `n`.
     pub fn total(&self) -> usize {
         self.total
     }
 
+    /// Number of circuits `f` that will remain closed/finalized.
     pub fn to_finalize(&self) -> usize {
         self.to_finalize
     }
 
+    /// Immutable access to the shared circuit input payload.
     pub fn input(&self) -> &I {
         &self.input
     }
diff --git a/src/cut_and_choose/tests.rs b/src/cut_and_choose/tests.rs
index 761094a5..e6e2bbb4 100644
--- a/src/cut_and_choose/tests.rs
+++ b/src/cut_and_choose/tests.rs
@@ -107,12 +107,24 @@ fn cut_and_choose_one_bit_e2e() {
     // Garbler creates all instances
     let cfg_g = Config::new(total, finalize, OneBitGarblerInput);
     let mut garbler = Garbler::create(&mut rng, cfg_g, CAPACITY, one_bit_circuit);
-    let commits = garbler.commit();
 
-    // Evaluator chooses which instances to finalize
+    // First phase: commit without nonce
+    let first_commits = garbler.commit_phase_one::<DefaultLabelCommitHasher>();
+
+    // Evaluator chooses which instances to finalize with first commits
     let cfg_e = Config::new(total, finalize, OneBitGarblerInput);
-    let evaluator: Evaluator<OneBitGarblerInput> =
-        Evaluator::create(&mut rng, cfg_e, commits.clone());
+    let mut evaluator: Evaluator<OneBitGarblerInput> =
+        Evaluator::create(&mut rng, cfg_e, first_commits.clone());
+
+    // Get nonce from evaluator
+    let nonce = evaluator.get_nonce();
+
+    // Second phase: commit with nonce
+    let second_commits = garbler.commit_phase_two::<DefaultLabelCommitHasher>(nonce);
+
+    // Fill evaluator with second commits
+    evaluator.fill_second_commit(second_commits.clone());
+
     let finalize_indices: Vec<usize> = evaluator.finalized_indexes().to_vec();
 
     // Build channels for finalized instances using iterator + unzip
@@ -156,14 +168,11 @@ fn cut_and_choose_one_bit_e2e() {
         j.join().unwrap();
     }
 
-    // Gather constants + input labels for finalized instances
+    // Gather input labels for finalized instances
     let mut cases_true = Vec::new();
     let mut cases_false = Vec::new();
 
     for idx in finalize_indices {
-        let t = garbler.true_wire_constant_for(idx);
-        let f = garbler.false_wire_constant_for(idx);
-
         let input_labels = garbler.input_labels_for(idx);
 
         assert_eq!(input_labels.len(), 1);
@@ -181,15 +190,11 @@ fn cut_and_choose_one_bit_e2e() {
         cases_true.push(EvaluatorCaseInput {
             index: idx,
             input: e_true,
-            true_constant_wire: t,
-            false_constant_wire: f,
         });
 
         cases_false.push(EvaluatorCaseInput {
             index: idx,
             input: e_false,
-            true_constant_wire: t,
-            false_constant_wire: f,
         });
     }
 
@@ -370,11 +375,24 @@ fn cut_and_choose_fq12_mul_e2e() {
     // Garbler flow
     let cfg_g = Config::new(total, finalize, input.clone());
     let mut garbler = Garbler::create(&mut rng, cfg_g, CAPACITY, build_fq12_mul_eq_const);
-    let commits = garbler.commit();
 
-    // Evaluator chooses to finalize instances
+    // First phase: commit without nonce
+    let first_commits = garbler.commit_phase_one::<DefaultLabelCommitHasher>();
+
+    // Evaluator chooses to finalize instances with first commits
     let cfg_e = Config::new(total, finalize, input.clone());
-    let evaluator: Evaluator<Fq12MulInput> = Evaluator::create(&mut rng, cfg_e, commits.clone());
+    let mut evaluator: Evaluator<Fq12MulInput> =
+        Evaluator::create(&mut rng, cfg_e, first_commits.clone());
+
+    // Get nonce from evaluator
+    let nonce = evaluator.get_nonce();
+
+    // Second phase: commit with nonce
+    let second_commits = garbler.commit_phase_two::<DefaultLabelCommitHasher>(nonce);
+
+    // Fill evaluator with second commits
+    evaluator.fill_second_commit(second_commits.clone());
+
     let to_finalize = evaluator.finalized_indexes().to_vec().into_boxed_slice();
 
     // Prepare channels for finalized instances using iterator + unzip
@@ -424,9 +442,6 @@ fn cut_and_choose_fq12_mul_e2e() {
     let mut cases_true = Vec::new();
 
     for idx in to_finalize.iter().copied() {
-        let t = garbler.true_wire_constant_for(idx);
-        let f = garbler.false_wire_constant_for(idx);
-
         let labels = garbler.input_labels_for(idx);
         let input_true = Fq12MulInput {
             labels: labels.clone(),
@@ -436,8 +451,6 @@ fn cut_and_choose_fq12_mul_e2e() {
         cases_true.push(EvaluatorCaseInput {
             index: idx,
             input: input_true,
-            true_constant_wire: t,
-            false_constant_wire: f,
         });
     }
 
@@ -450,7 +463,7 @@ fn cut_and_choose_fq12_mul_e2e() {
         assert!(out.value, "a*b == prod_m should be true");
         assert_eq!(
             super::commit_label(out.active_label),
-            commits[idx].output_label1_commit()
+            first_commits[idx].output_commit_true()
         );
     }
 
@@ -473,8 +486,6 @@ fn cut_and_choose_fq12_mul_e2e() {
         cases_false.push(EvaluatorCaseInput {
             index: idx,
             input: input_false,
-            true_constant_wire: garbler.true_wire_constant_for(idx),
-            false_constant_wire: garbler.false_wire_constant_for(idx),
         });
     }
 
@@ -486,7 +497,7 @@ fn cut_and_choose_fq12_mul_e2e() {
         assert!(!out.value, "a*b_alt == prod_m should be false");
         assert_eq!(
             super::commit_label(out.active_label),
-            commits[idx].output_label0_commit()
+            first_commits[idx].output_commit_false()
         );
     }
 }
diff --git a/src/hashers/mod.rs b/src/hashers/mod.rs
index 28f339c5..5ff7500b 100644
--- a/src/hashers/mod.rs
+++ b/src/hashers/mod.rs
@@ -11,6 +11,13 @@ pub enum HasherKind {
 }
 
 pub mod aes_ni;
+pub mod sha256;
+
+// Re-export label commit hashers and trait for public API
+pub use sha256::{
+    AesLabelCommitHasher, Commit, DefaultLabelCommitHasher, LabelCommitHasher,
+    Sha256LabelCommitHasher, commit_label_with,
+};
 
 pub trait GateHasher: HashWithGate<1> + HashWithGate<2> {}
 impl<H: HashWithGate<1> + HashWithGate<2>> GateHasher for H {}
diff --git a/src/hashers/sha256.rs b/src/hashers/sha256.rs
new file mode 100644
index 00000000..d7deef62
--- /dev/null
+++ b/src/hashers/sha256.rs
@@ -0,0 +1,58 @@
+//! Label commit hashers for the cut-and-choose protocol.
+
+use std::fmt;
+
+use serde::{Deserialize, Serialize};
+use sha2::{Digest, Sha256};
+
+use crate::{S, hashers};
+
+/// Trait for hashing garbled circuit labels for commitment.
+pub trait LabelCommitHasher: fmt::Debug {
+    type Output: Copy
+        + fmt::Debug
+        + Eq
+        + Send
+        + Sync
+        + Serialize
+        + for<'de> Deserialize<'de>
+        + AsRef<[u8]>;
+
+    fn hash_label(label: S) -> Self::Output;
+}
+
+/// SHA-256 based label commit hasher.
+#[derive(Clone, Copy, Debug, Default, PartialEq, Eq, Serialize, Deserialize)]
+pub struct Sha256LabelCommitHasher;
+
+impl LabelCommitHasher for Sha256LabelCommitHasher {
+    type Output = [u8; 32];
+
+    fn hash_label(label: S) -> Self::Output {
+        let digest = Sha256::digest(label.to_u128().to_be_bytes());
+        digest.into()
+    }
+}
+
+/// AES-based label commit hasher.
+#[derive(Clone, Copy, Debug, Default, PartialEq, Eq, Serialize, Deserialize)]
+pub struct AesLabelCommitHasher;
+
+impl LabelCommitHasher for AesLabelCommitHasher {
+    type Output = [u8; 16];
+
+    fn hash_label(label: S) -> Self::Output {
+        hashers::aes_ni::aes128_encrypt_block_static(label.to_bytes())
+            .expect("AES backend should be available (HW or software)")
+    }
+}
+
+/// Helper function to commit a label using a specific hasher.
+pub fn commit_label_with<H: LabelCommitHasher>(label: S) -> H::Output {
+    H::hash_label(label)
+}
+
+/// Default label commit hasher type.
+pub type DefaultLabelCommitHasher = AesLabelCommitHasher;
+/// Default commit type.
+pub type Commit = <DefaultLabelCommitHasher as LabelCommitHasher>::Output;
diff --git a/src/lib.rs b/src/lib.rs
index 3d513859..0772a8b9 100644
--- a/src/lib.rs
+++ b/src/lib.rs
@@ -17,7 +17,16 @@ pub use crate::circuit::modes::EvaluatedWire;
 // Re-export GarbledWire from mode locality while keeping public path stable
 pub use crate::circuit::modes::GarbledWire;
 // Root-level hasher exports
-pub use crate::hashers::{AesNiHasher, Blake3Hasher, GateHasher, HasherKind};
+pub use crate::hashers::{
+    AesLabelCommitHasher,
+    AesNiHasher,
+    Blake3Hasher,
+    GateHasher,
+    HasherKind,
+    // Label commit hashers for cut-and-choose
+    LabelCommitHasher,
+    Sha256LabelCommitHasher,
+};
 pub type DefaultHasher = crate::hashers::Blake3Hasher;
 
 pub use ciphertext_hasher::AESAccumulatingHash;
@@ -72,4 +81,7 @@ pub mod ark {
 }
 
 pub use cut_and_choose::groth16 as groth16_cut_and_choose;
-pub use groth16_cut_and_choose::{GarbledInstanceCommit, Garbler, OpenForInstance};
+pub use groth16_cut_and_choose::{CommitPhaseOne, CommitPhaseTwo, Garbler, OpenForInstance};
+
+#[cfg(feature = "sp1-soldering")]
+pub mod sp1_soldering;
diff --git a/src/sp1_soldering.rs b/src/sp1_soldering.rs
new file mode 100644
index 00000000..6586c949
--- /dev/null
+++ b/src/sp1_soldering.rs
@@ -0,0 +1,394 @@
+use std::{path::PathBuf, time::Instant};
+
+use rkyv::util::AlignedVec;
+use sp1_core_executor::SP1ContextBuilder;
+use sp1_core_machine::io::SP1Stdin;
+use sp1_prover::{
+    Groth16Bn254Proof, SP1Prover, SP1PublicValues, build, components::CpuProverComponents,
+};
+use sp1_stark::SP1ProverOpts;
+use tracing::{info, instrument};
+
+#[path = "../sp1-soldering-program/src/types.rs"]
+mod types;
+
+pub use types::{Sha256Commit, SolderedLabelsData as SolderedLabels};
+
+use crate::{GarbledWire, S, circuit::CircuitInput};
+
+/// Trait for inputs that can be soldered with deltas to create derived instances
+pub trait SolderInput: CircuitInput {
+    /// Apply per-wire deltas to create a new instance
+    fn solder(&self, per_wire_deltas: &[(S, S)]) -> Self;
+}
+
+/// Returns the compiled soldering guest ELF bytes.
+pub fn elf() -> &'static [u8] {
+    include_bytes!(env!("SP1_ELF_sp1-soldering-guest"))
+}
+
+pub struct SolderingProof {
+    pub proof: Groth16Bn254Proof,
+    pub deltas: Vec<Vec<(u128, u128)>>,
+}
+
+/// Serializes the wires input into the format expected by the SP1 guest.
+pub fn serialize_wires_input(input: &types::WiresInput) -> Result<AlignedVec, rkyv::rancor::Error> {
+    rkyv::to_bytes::<rkyv::rancor::Error>(input)
+}
+
+/// Serializes the soldering public parameters.
+pub fn serialize_public_params(
+    params: &types::SolderedLabelsData,
+) -> Result<AlignedVec, rkyv::rancor::Error> {
+    rkyv::to_bytes::<rkyv::rancor::Error>(params)
+}
+
+/// Deserializes the soldering public parameters emitted by the SP1 guest.
+pub fn deserialize_public_params(
+    bytes: &[u8],
+) -> Result<types::SolderedLabelsData, rkyv::rancor::Error> {
+    // Safety: The SP1 program writes out a valid `SolderedLabelsData` archive and
+    // we only call this on buffers produced by that program or in tests that
+    // mirror its serialization logic.
+    unsafe { rkyv::from_bytes_unchecked::<types::SolderedLabelsData, rkyv::rancor::Error>(bytes) }
+}
+
+fn groth16_artifacts_dir() -> PathBuf {
+    std::env::var("SP1_GROTH16_CIRCUIT_PATH")
+        .map(PathBuf::from)
+        .unwrap_or_else(|_| dirs::home_dir().unwrap().join(".sp1/circuits/groth16"))
+        .join(sp1_prover::SP1_CIRCUIT_VERSION.trim())
+}
+
+#[instrument(skip_all)]
+pub fn prove_soldering(instances: Vec<Vec<GarbledWire>>, nonce: u128) -> SolderingProof {
+    let input = types::WiresInput {
+        instances_wires: instances
+            .into_iter()
+            .map(|instance| {
+                instance
+                    .into_iter()
+                    .map(|gw| (gw.label0.to_u128(), gw.label1.to_u128()))
+                    .collect::<Vec<_>>()
+            })
+            .collect::<Vec<_>>(),
+        nonce,
+    };
+
+    let prover = SP1Prover::<CpuProverComponents>::new();
+
+    let input_bytes = serialize_wires_input(&input).expect("failed to serialize wires input");
+
+    let mut stdin = SP1Stdin::new();
+    stdin.write(&input_bytes.as_slice()); // example input
+
+    // 3. Create proving/verification keys.
+    let (_pk, pk_device, program, vk) = prover.setup(elf());
+
+    // 4. Optional: customise proving opts/context.
+    let opts = SP1ProverOpts::default();
+    let context = SP1ContextBuilder::default().build();
+
+    // 5. Prove the core execution.
+    let prove_time = Instant::now();
+    let core_proof = prover
+        .prove_core(&pk_device, program, &stdin, opts, context)
+        .unwrap();
+    info!("Proved in {}", prove_time.elapsed().as_secs());
+    let public_values = core_proof.public_values.clone();
+
+    info!("Raw data from program is {public_values:?}");
+
+    let data = deserialize_public_params(public_values.as_slice())
+        .expect("failed to deserialize `SolderedLabelsData`");
+
+    info!("Data from program is {data:?}");
+
+    // 6. Compress → shrink → wrap (PLONK/STARK outer proof).
+    let compress_time = Instant::now();
+    let deferred = stdin.proofs.iter().map(|(p, _)| p.clone()).collect();
+    let reduced = prover.compress(&vk, core_proof, deferred, opts).unwrap();
+    let shrunk = prover.shrink(reduced, opts).unwrap();
+    let wrapped = prover.wrap_bn254(shrunk, opts).unwrap();
+    info!("Compressed in {}", compress_time.elapsed().as_secs());
+
+    // 7. Build/download Groth16 artifacts and produce Groth16 proof.
+    let wrap_time = Instant::now();
+
+    let artifacts = if sp1_prover::build::sp1_dev_mode() {
+        build::try_build_groth16_bn254_artifacts_dev(&wrapped.vk, &wrapped.proof)
+    } else {
+        groth16_artifacts_dir()
+    };
+
+    let groth16_proof = prover.wrap_groth16_bn254(wrapped, &artifacts);
+    info!("Wrapped in {}", wrap_time.elapsed().as_secs());
+
+    SolderingProof {
+        proof: groth16_proof,
+        deltas: data.deltas,
+    }
+}
+
+#[instrument(skip_all)]
+pub fn verify_soldering(
+    proof: SolderingProof,
+    base_commitment: Vec<(Sha256Commit, Sha256Commit)>,
+    base_nonce_commitment: Vec<(Sha256Commit, Sha256Commit)>,
+    nonce: u128,
+    commitments: Vec<Vec<(Sha256Commit, Sha256Commit)>>,
+) -> bool {
+    info!("start");
+    let SolderingProof { proof, deltas } = proof;
+
+    let pp = types::SolderedLabelsData {
+        deltas,
+        base_commitment,
+        base_nonce_commitment,
+        nonce,
+        commitments,
+    };
+
+    let input_bytes = serialize_public_params(&pp).expect("failed to serialize public params");
+
+    let prover = SP1Prover::<CpuProverComponents>::new();
+    let (_pk, _pk_device, _program, vk) = prover.setup(elf());
+
+    let artifacts = groth16_artifacts_dir();
+
+    prover
+        .verify_groth16_bn254(
+            &proof,
+            &vk,
+            &SP1PublicValues::from(input_bytes.as_slice()),
+            &artifacts,
+        )
+        .unwrap();
+
+    info!("end");
+
+    true
+}
+
+#[cfg(test)]
+mod tests {
+    use std::time::Instant;
+
+    use test_log::test;
+    use tracing::info;
+
+    use super::*;
+    use crate::S;
+
+    /// Hash a label to create a commitment (internal helper for tests)
+    fn hash_label(label: u128) -> Sha256Commit {
+        use sha2::{Digest, Sha256};
+        let mut hasher = Sha256::new();
+        hasher.update(label.to_be_bytes());
+        let result = hasher.finalize();
+        let mut bytes = [0u8; 32];
+        bytes.copy_from_slice(&result);
+        bytes
+    }
+
+    /// Build the expected public parameters for a set of raw wire labels.
+    fn build_expected_public_params(
+        raw_instances: &[Vec<(u128, u128)>],
+        nonce: u128,
+    ) -> SolderedLabels {
+        let (base, rest) = raw_instances
+            .split_first()
+            .expect("at least one instance required");
+
+        let mut base_commitment = Vec::with_capacity(base.len());
+        let mut base_nonce_commitment = Vec::with_capacity(base.len());
+
+        for &(label0, label1) in base {
+            base_commitment.push((hash_label(label0), hash_label(label1)));
+            base_nonce_commitment.push((hash_label(label0 ^ nonce), hash_label(label1 ^ nonce)));
+        }
+
+        let mut commitments = Vec::with_capacity(rest.len());
+        let mut deltas = Vec::with_capacity(rest.len());
+
+        for instance in rest {
+            let mut instance_commitment = Vec::with_capacity(instance.len());
+            let mut instance_deltas = Vec::with_capacity(instance.len());
+
+            for ((base0, base1), (label0, label1)) in base.iter().zip(instance.iter()) {
+                instance_commitment.push((hash_label(*label0), hash_label(*label1)));
+                instance_deltas.push((base0 ^ label0, base1 ^ label1));
+            }
+
+            commitments.push(instance_commitment);
+            deltas.push(instance_deltas);
+        }
+
+        SolderedLabels {
+            deltas,
+            base_commitment,
+            base_nonce_commitment,
+            nonce,
+            commitments,
+        }
+    }
+
+    #[test]
+    #[ignore]
+    fn test_core_public_params_roundtrip() {
+        use rand::{Rng, SeedableRng, rngs::StdRng};
+
+        let wires = 1;
+        let instances = 1;
+
+        let mut rng = StdRng::seed_from_u64(42);
+        let nonce: u128 = rng.r#gen();
+        let delta: u128 = rng.r#gen::<u128>() | 1;
+
+        let mut raw_instances = Vec::with_capacity(1 + instances);
+
+        for _ in 0..=instances {
+            let mut raw_labels = Vec::with_capacity(wires);
+
+            for _ in 0..wires {
+                let label0: u128 = rng.r#gen();
+                let label1: u128 = label0 ^ delta;
+                raw_labels.push((label0, label1));
+            }
+
+            raw_instances.push(raw_labels);
+        }
+
+        let input = types::WiresInput {
+            instances_wires: raw_instances.clone(),
+            nonce,
+        };
+
+        let input_bytes =
+            serialize_wires_input(&input).expect("failed to serialize wires input for core test");
+
+        let mut stdin = SP1Stdin::new();
+        stdin.write(&input_bytes.as_slice());
+
+        let prover = SP1Prover::<CpuProverComponents>::new();
+        let (_pk, pk_device, program, _vk) = prover.setup(elf());
+        let opts = SP1ProverOpts::default();
+        let context = SP1ContextBuilder::default().build();
+
+        let core_proof = prover
+            .prove_core(&pk_device, program, &stdin, opts, context)
+            .expect("core proving failed");
+
+        let public_values = core_proof.public_values;
+
+        let recovered =
+            deserialize_public_params(public_values.as_slice()).expect("failed to deserialize pp");
+        let expected = build_expected_public_params(&raw_instances, nonce);
+
+        assert_eq!(
+            recovered, expected,
+            "deserialized public params differ from expected output"
+        );
+
+        let reserialized =
+            serialize_public_params(&recovered).expect("failed to reserialize public params");
+        let decoded = deserialize_public_params(reserialized.as_slice())
+            .expect("failed to deserialize reserialized params");
+        assert_eq!(
+            decoded, recovered,
+            "reserialized params differ from original deserialize output"
+        );
+    }
+
+    /// Helper function to test prove and verify with configurable parameters
+    fn test_soldering_with_params(wires: usize, instances: usize) {
+        use rand::Rng;
+
+        let mut rng = rand::thread_rng();
+        let nonce: u128 = rng.r#gen();
+
+        // Generate garbled wires with consistent delta
+        let delta: u128 = rng.r#gen::<u128>() | 1; // Ensure odd for Free-XOR
+
+        let mut all_instances = Vec::with_capacity(1 + instances);
+        let mut all_raw_labels = Vec::with_capacity(1 + instances);
+
+        // Generate all instances (base + additional)
+        for i in 0..=instances {
+            let mut instance: Vec<GarbledWire> = Vec::with_capacity(wires);
+            let mut raw_labels: Vec<(u128, u128)> = Vec::with_capacity(wires);
+
+            for _ in 0..wires {
+                let label0: u128 = rng.r#gen();
+                let label1: u128 = label0 ^ delta;
+
+                instance.push(GarbledWire {
+                    label0: S::from_u128(label0),
+                    label1: S::from_u128(label1),
+                });
+
+                raw_labels.push((label0, label1));
+            }
+
+            all_instances.push(instance);
+            all_raw_labels.push(raw_labels);
+
+            if i == 0 {
+                info!("Generated base instance: {} wires", wires);
+            }
+        }
+
+        info!("Generated {} additional instances", instances);
+
+        // Prove using the public API
+        let prove_start = Instant::now();
+        let proof = prove_soldering(all_instances.clone(), nonce);
+        info!(
+            "Total proving time: {} seconds",
+            prove_start.elapsed().as_secs()
+        );
+
+        // Now create the commitments exactly as the SP1 program does
+        let SolderedLabels {
+            base_commitment,
+            base_nonce_commitment,
+            commitments,
+            ..
+        } = build_expected_public_params(&all_raw_labels, nonce);
+
+        // Verify using the public API
+        let verify_start = Instant::now();
+        let is_valid = verify_soldering(
+            proof,
+            base_commitment,
+            base_nonce_commitment,
+            nonce,
+            commitments,
+        );
+
+        info!(
+            "Verification time: {} ms",
+            verify_start.elapsed().as_millis()
+        );
+
+        assert!(is_valid, "Proof verification failed");
+        println!("Groth16 proof generated and verified successfully!");
+    }
+
+    #[test]
+    #[ignore] // Run with: cargo test test_soldering_quick -- --ignored
+    fn test_soldering_quick() {
+        println!("Running quick soldering test with minimal parameters (1 wire, 1 instance)");
+        println!("This test should complete in a few seconds");
+        test_soldering_with_params(1, 1);
+    }
+
+    #[test]
+    #[ignore] // Run with: cargo test test_soldering_full -- --ignored
+    fn test_soldering_full() {
+        println!("Running full soldering test with real payload size (1019 wires, 6 instances)");
+        println!("WARNING: This test takes approximately 74 minutes to complete!");
+        test_soldering_with_params(1019, 6);
+    }
+}