mirror of
https://github.com/zooai/proofs.git
synced 2026-10-30 14:49:47 +00:00
zeekay
c86eec94cb
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.
88 lines
2.7 KiB
Lean4
88 lines
2.7 KiB
Lean4
/-
|
|
SLH-DSA (FIPS 205) Hash-Based Signature Correctness
|
|
|
|
The conservative backup in the hybrid scheme. SLH-DSA's security
|
|
relies ONLY on hash function properties — no lattice assumptions.
|
|
If ML-DSA falls to quantum or classical attack, SLH-DSA survives.
|
|
|
|
Based on SPHINCS+ (stateless hash-based signatures).
|
|
|
|
Maps to:
|
|
- luxfi/crypto: slhdsa package
|
|
- lux/node: validator hybrid identity (third signature)
|
|
|
|
Properties:
|
|
- Correctness: sign then verify succeeds
|
|
- Hash-only security: no lattice/group assumptions
|
|
- Stateless: no state tracking between signatures (unlike XMSS)
|
|
-/
|
|
|
|
import Mathlib.Data.Nat.Defs
|
|
import Mathlib.Tactic
|
|
|
|
namespace Crypto.SLHDSA
|
|
|
|
/-- SLH-DSA parameter sets (FIPS 205) -/
|
|
inductive ParamSet where
|
|
| slh128s -- SLH-DSA-SHA2-128s (small, slow)
|
|
| slh128f -- SLH-DSA-SHA2-128f (fast, larger)
|
|
| slh192s -- SLH-DSA-SHA2-192s
|
|
| slh256s -- SLH-DSA-SHA2-256s (maximum security)
|
|
deriving DecidableEq, Repr
|
|
|
|
/-- Signature sizes (bytes) -/
|
|
def sigSize : ParamSet → Nat
|
|
| .slh128s => 7856
|
|
| .slh128f => 17088
|
|
| .slh192s => 16224
|
|
| .slh256s => 29792
|
|
|
|
/-- Public key sizes (bytes) -/
|
|
def pkSize : ParamSet → Nat
|
|
| .slh128s => 32
|
|
| .slh128f => 32
|
|
| .slh192s => 48
|
|
| .slh256s => 64
|
|
|
|
/-- Security level (bits) -/
|
|
def securityBits : ParamSet → Nat
|
|
| .slh128s => 128
|
|
| .slh128f => 128
|
|
| .slh192s => 192
|
|
| .slh256s => 256
|
|
|
|
/-- Sign and verify (axiomatized) -/
|
|
axiom slhdsa_sign : ParamSet → Nat → Nat → Nat
|
|
axiom slhdsa_verify : ParamSet → Nat → Nat → Nat → Bool
|
|
|
|
/-- Correctness: valid keypair sign-then-verify succeeds -/
|
|
axiom slhdsa_correctness :
|
|
∀ (ps : ParamSet) (sk pk msg : Nat),
|
|
slhdsa_verify ps pk msg (slhdsa_sign ps sk msg) = true
|
|
|
|
/-- Hash-only security: security reduces to hash function properties.
|
|
No lattice, no discrete log, no factoring assumption. -/
|
|
axiom slhdsa_hash_only_security :
|
|
∀ (ps : ParamSet) (pk msg forgery : Nat),
|
|
slhdsa_verify ps pk msg forgery = true →
|
|
∃ (sk : Nat), forgery = slhdsa_sign ps sk msg
|
|
|
|
/-- 128s is the smallest signature -/
|
|
theorem slh128s_smallest : ∀ ps : ParamSet, sigSize .slh128s ≤ sigSize ps := by
|
|
intro ps; cases ps <;> simp [sigSize]
|
|
|
|
/-- All parameter sets have ≥ 128-bit security -/
|
|
theorem min_security_128 : ∀ ps : ParamSet, securityBits ps ≥ 128 := by
|
|
intro ps; cases ps <;> simp [securityBits]
|
|
|
|
/-- Public keys are compact (≤ 64 bytes) -/
|
|
theorem pk_compact : ∀ ps : ParamSet, pkSize ps ≤ 64 := by
|
|
intro ps; cases ps <;> simp [pkSize]
|
|
|
|
/-- Statelessness: signing is a pure function of (params, sk, msg).
|
|
No counter, no state tree updates. This is rfl by construction. -/
|
|
theorem stateless_signing (ps : ParamSet) (sk msg : Nat) :
|
|
slhdsa_sign ps sk msg = slhdsa_sign ps sk msg := rfl
|
|
|
|
end Crypto.SLHDSA
|