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Local zoo/formal was a stale parallel checkout that pointed at
zoo-labs/formal (non-existent); the canonical remote is
zooai/proofs. This commit absorbs the unique formal-verification
work from the old checkout into proofs:
- formal/ (Lean 4 proofs source — duplicate of top-level lean/
but kept as separate "formal/" entry for the
legacy import path)
- halmos/ (Solidity symbolic-exec contracts: AMMInvariant,
LiquidSolvency, MarketsSolvency, FHEInvariant)
- property/ (Go property-test suite for FHE noise)
- tamarin/ (Tamarin protocol-verification source)
- tla/ (TLA+ system-spec source)
- lean/Contract/ZKSignature.lean (unique, not in proofs/lean)
- lean/Crypto/ZKSignature.lean (unique, not in proofs/lean)
- FORMAL_VERIFICATION.md (preserved from the old README)
- LLM-formal.md (preserved from the old LLM.md)
The duplicate folder /Users/z/work/zoo/formal is now deleted on
disk. One canonical checkout: /Users/z/work/zoo/proofs tracking
github:zooai/proofs.
81 lines
2.6 KiB
Lean4
81 lines
2.6 KiB
Lean4
/-
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ML-DSA (FIPS 204) Signature Correctness
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Models the ML-DSA precompile (src/precompiles/mldsa/).
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ML-DSA is the NIST post-quantum digital signature standard,
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based on the Fiat-Shamir with Aborts paradigm over module lattices.
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Maps to:
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- src/precompiles/mldsa/: Go implementation
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- luxfi/crypto: ML-DSA package
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Properties:
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- Correctness: sign then verify always succeeds
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- EUF-CMA: existential unforgeability under chosen message attack
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- Signature size: 3309 bytes for ML-DSA-65 (security level 3)
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-/
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import Mathlib.Data.Nat.Defs
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import Mathlib.Tactic
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namespace Crypto.MLDSA
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/-- ML-DSA security levels -/
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inductive SecurityLevel where
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| level2 : SecurityLevel -- ML-DSA-44 (128-bit)
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| level3 : SecurityLevel -- ML-DSA-65 (192-bit)
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| level5 : SecurityLevel -- ML-DSA-87 (256-bit)
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/-- Signature sizes by security level -/
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def sigSize (l : SecurityLevel) : Nat :=
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match l with
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| .level2 => 2420
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| .level3 => 3309
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| .level5 => 4627
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/-- Public key sizes -/
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def pkSize (l : SecurityLevel) : Nat :=
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match l with
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| .level2 => 1312
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| .level3 => 1952
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| .level5 => 2592
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/-- Abstract sign and verify functions for ML-DSA -/
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axiom mldsa_sign : SecurityLevel → Nat → Nat → Nat
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axiom mldsa_verify : SecurityLevel → Nat → Nat → Nat → Bool
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axiom mldsa_correctness :
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∀ (l : SecurityLevel) (sk pk msg : Nat),
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-- For a valid key pair (sk, pk), sign then verify always succeeds
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mldsa_verify l pk msg (mldsa_sign l sk msg) = true
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/-- EUF-CMA security under Module-LWE assumption -/
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axiom mldsa_euf_cma :
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∀ (l : SecurityLevel) (pk msg : Nat) (forgery : Nat),
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-- No PPT/quantum adversary can forge a signature on a new message
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-- even after seeing signatures on chosen messages (Module-LWE hardness)
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mldsa_verify l pk msg forgery = true →
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∃ (sk : Nat), forgery = mldsa_sign l sk msg
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/-- Signature size is bounded -/
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theorem sig_size_bounded (l : SecurityLevel) :
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sigSize l ≤ 5000 := by
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cases l <;> simp [sigSize]
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/-- ML-DSA-65 is the default for Lux (NIST Level 3, 192-bit security) -/
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theorem default_level_3 : sigSize .level3 = 3309 := rfl
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/-- Public key size at level 3 -/
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theorem pk_size_level3 : pkSize .level3 = 1952 := rfl
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/-- Security levels are ordered -/
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theorem level2_lt_level3 : sigSize .level2 < sigSize .level3 := by simp [sigSize]
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theorem level3_lt_level5 : sigSize .level3 < sigSize .level5 := by simp [sigSize]
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/-- All signature sizes fit in a network packet (< 5KB) -/
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theorem all_sigs_bounded : ∀ l : SecurityLevel, sigSize l < 5000 := by
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intro l; cases l <;> simp [sigSize]
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end Crypto.MLDSA
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