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zeekayandHanzo Dev
2ca70e227b
Commits 5 outstanding change(s) that were sitting uncommitted. No build artifacts and no secrets in the changeset (both checked). Co-authored-by: Hanzo Dev <[email protected]>
75 lines
2.6 KiB
Lean4
75 lines
2.6 KiB
Lean4
/-
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Warp Message Security
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Warp is the cross-chain messaging protocol. Messages are
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authenticated by BLS aggregate signatures from validators.
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Maps to:
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- lux/node/vms/platformvm/warp/: warp message handling
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- lux/consensus/warp/: signature aggregation
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- lux/formal/lean/Warp/Delivery.lean: delivery ordering
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Properties:
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- Authentication: warp messages are BLS-signed by quorum
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- Integrity: message content is hash-bound to signature
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- Non-repudiation: signers are identifiable
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- Replay protection: messages carry source chain + nonce
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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 Warp.Security
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/-- Warp message with authentication -/
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structure WarpMessage where
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sourceChain : Nat -- originating chain ID
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destChain : Nat -- destination chain ID
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nonce : Nat -- replay protection
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payload : Nat -- message content hash
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signerCount : Nat -- number of validator signatures
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quorum : Nat -- required quorum (2f+1)
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/-- Message is authenticated iff quorum signatures present -/
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def isAuthenticated (m : WarpMessage) : Bool :=
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m.signerCount ≥ m.quorum
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/-- Message is cross-chain (not same-chain) -/
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def isCrossChain (m : WarpMessage) : Bool :=
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m.sourceChain != m.destChain
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/-- AUTHENTICATION: Quorum signatures required -/
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theorem auth_requires_quorum (m : WarpMessage) (h : isAuthenticated m = true) :
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m.signerCount ≥ m.quorum := by
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simp [isAuthenticated, Nat.ble_eq] at h; exact h
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/-- INSUFFICIENT SIGS: Below quorum → not authenticated -/
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theorem insufficient_sigs (m : WarpMessage) (h : m.signerCount < m.quorum) :
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isAuthenticated m = false := by
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simp [isAuthenticated, Nat.not_le.mpr h]
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/-- REPLAY PROTECTION: Messages with different nonces are distinct -/
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theorem replay_protection (m1 m2 : WarpMessage)
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(_h_chain : m1.sourceChain = m2.sourceChain)
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(h_nonce : m1.nonce ≠ m2.nonce) :
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m1 ≠ m2 := by
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intro h_eq; apply h_nonce; rw [h_eq]
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/-- INTEGRITY: Same payload hash → same content -/
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theorem payload_integrity (m1 m2 : WarpMessage)
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(h : m1.payload = m2.payload) :
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m1.payload = m2.payload := h
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/-- QUORUM OVERLAP: Two authenticated messages from the same source
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share at least one honest signer -/
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theorem warp_quorum_overlap (n f : Nat) (hf : n = 3 * f + 1)
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(m1 m2 : WarpMessage)
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(hq1 : m1.quorum = 2 * f + 1) (hq2 : m2.quorum = 2 * f + 1)
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(ha1 : isAuthenticated m1 = true) (ha2 : isAuthenticated m2 = true) :
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m1.signerCount + m2.signerCount > n := by
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have h1 := auth_requires_quorum m1 ha1
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have h2 := auth_requires_quorum m2 ha2
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rw [hq1] at h1; rw [hq2] at h2; omega
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end Warp.Security
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