[z3-verifier] Formal verification of SHA-256 against FIPS 180-4#1386
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[z3-verifier] Formal verification of SHA-256 against FIPS 180-4#13860xAndoroid wants to merge 1 commit intomainfrom
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Verify the Jolt SHA-256 inline implementation using Z3 bit-vector theory. Properties proven for all 32-bit inputs: - K[] and H[] constants match FIPS 180-4 §4.2.2 / §5.3.3 - Optimized Ch (ANDN-based) ≡ spec Ch(x,y,z) = (x∧y)⊕(¬x∧z) - Optimized Maj ((B&C)⊕(A&(B⊕C))) ≡ spec Maj - Σ₀, Σ₁, σ₀, σ₁ decompositions match spec - Message schedule W expansion is correct - Single-round T1/T2/state-update matches spec - Z3 spec model produces correct NIST test vector outputs - exec.rs compression matches NIST vectors (3 concrete tests) - execute_sha256_compression_initial uses correct FIPS IV Full 64-round symbolic equivalence is available as an ignored test for manual runs (too slow for CI).
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This is an experiment. Ignore it for now
Summary
(B&C)^(A&(B^C))Maj) for all 32-bit inputsWhat is verified
(E&F)^(G&~E)≡(x∧y)⊕(¬x∧z)(B&C)^(A&(B^C))≡(x∧y)⊕(x∧z)⊕(y∧z)Test plan
cargo nextest run -p z3-verifier -E 'test(sha256)'— 15/15 passcargo clippy -p z3-verifier -- -D warnings— cleancargo fmt -- --check— cleanlibz3(brew install z3 pkg-configon macOS)