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Hanzo AI
3c832acef6
Closes MAGNETAR-PROOF-TRACK-V11.
Theory files (proofs/easycrypt/):
- Magnetar_N1_StrictAtom.ec --- Class N1-analog strict-atom byte-
equality theorem. Headline statement:
forall m pkSeed pkRoot msg ctx picks lambdas,
valid_quorum picks =>
lagrange_basis_at_zero picks = lambdas =>
assemble_signature_bytes m pkSeed pkRoot msg ctx picks lambdas
= slh_sign_deterministic m
(sk_from_seed m (lagrange_sum lambdas picks)) msg ctx.
Discharged via combine_assemble_axiom (Go extraction trust
boundary).
- Magnetar_N1_SHAKE_Expand.ec --- FIPS 205 sec 10.1 SHAKE expansion
lemmas. Cross-cites shake256_functional (Lean Crypto.Lux.SHA3).
- Magnetar_N1_Atom_Refinement.ec --- Magnetar-internal sec 5-8 walk
refines circl FIPS 205 dispatch. Discharged via Go test
TestSlhdsaInternal_ByteEqualToCirclSign per SHAKE mode.
- Magnetar_N4_KeyDeriveStable.ec --- same-master-yields-same-pk
lemma for reshare/rotation analysis. 0 admits.
- lemmas/SLHDSA_Functional.ec --- FIPS 205 sec 11.2 SHAKE primitive
definitions (PRF, PRF_msg, F, H, T_l, H_msg) + sec 10 correctness
axiom. 4 admits (black-box specs).
- lemmas/Magnetar_CT.ec --- Bernstein-Garcia-Levy leakage-model CT
lemma. 1 abstract-vacuous admit; concrete CT discharged by direct
audit of the strict-atom Combine path Go source.
Lean bridge (proofs/lean/Crypto/Magnetar/StrictAtom.lean):
- byte_wise_shamir_lagrange_at_zero_identity (shared with
Crypto.Pulsar.Shamir).
- shake256_functional (shared with Crypto.Lux.SHA3).
- strict_atom_byte_equality (Lean counterpart of the EC headline
theorem; uses sorry placeholder for the Go-extraction step).
- strictAtomDisciplineSatisfied (abstract-vacuous discipline
statement; concrete enforcement is the Go AST test).
Axiom budget: 5 substantive + 1 abstract-vacuous CT admit (down from
the v0.4 cascade's 14-axiom cone). Per proofs/README.md.
Bridge doc (proofs/lean-easycrypt-bridge.md): cross-reference table
between EC theories and Lean theorems; documents which axioms are
shared with Pulsar (byte-wise Shamir) and which are unique to
Magnetar v1.1 (the strict-atom discipline statement).
75 lines
3.6 KiB
Plaintext
75 lines
3.6 KiB
Plaintext
(* -------------------------------------------------------------------- *)
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(* SLHDSA_Functional --- FIPS 205 SHAKE functional spec *)
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(* -------------------------------------------------------------------- *)
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(* *)
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(* STATUS: 4 admits (FIPS 205 sec 11.2 SHAKE primitive definitions *)
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(* lifted as black-box ops; the FIPS 205 sec 10 correctness axiom is *)
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(* a black-box claim from NIST verification). *)
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(* *)
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(* The FIPS 205 sec 11.2 SHAKE primitives: *)
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(* *)
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(* PRF(PK.seed, ADRS, SK.seed) = SHAKE256(PK.seed || ADRS || SK.seed)[:n] *)
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(* PRF_msg(SK.prf, optRand, M) = SHAKE256(SK.prf || optRand || M)[:n] *)
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(* F(PK.seed, ADRS, M_1) = SHAKE256(PK.seed || ADRS || M_1)[:n] *)
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(* H(PK.seed, ADRS, M_1||M_2) = SHAKE256(PK.seed || ADRS || M_1 || M_2)[:n] *)
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(* T_l(PK.seed, ADRS, M) = SHAKE256(PK.seed || ADRS || M)[:n] *)
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(* H_msg(R, PK.seed, PK.root, M) = SHAKE256(R || PK.seed || PK.root || M)[:m] *)
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(* *)
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(* The single-party correctness of FIPS 205 SLH-DSA SignDeterministic *)
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(* is the standard "if SignDeterministic returns sig, then Verify(pk, *)
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(* msg, sig) accepts" claim, modulo the FIPS 205 sec 10 well-formedness *)
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(* conditions on inputs. *)
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(* *)
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(* -------------------------------------------------------------------- *)
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require import AllCore List Int IntDiv.
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type byte = int.
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type bytes = byte list.
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type mode = [ M192s | M192f | M256s ].
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op n_of_mode : mode -> int.
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(* FIPS 205 sec 11.2 SHAKE family --- PRF (FORS leaf / WOTS+ chain
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base derivation). *)
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op slhdsa_prf :
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mode -> bytes (* pk_seed *) -> bytes (* addr *) -> bytes (* sk_seed *) -> bytes.
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axiom slhdsa_prf_size : forall m pkSeed addr skSeed,
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size (slhdsa_prf m pkSeed addr skSeed) = n_of_mode m.
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(* FIPS 205 sec 11.2 SHAKE family --- PRF_msg (signature randomizer). *)
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op slhdsa_prf_msg :
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mode -> bytes (* sk_prf *) -> bytes (* opt_rand *) -> bytes (* msg' *) -> bytes.
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axiom slhdsa_prf_msg_size : forall m skPrf optRand msg,
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size (slhdsa_prf_msg m skPrf optRand msg) = n_of_mode m.
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(* The packed sk byte layout: 4n bytes.
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sk = skSeed || skPrf || pkSeed || pkRoot. *)
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op pack_sk : mode -> bytes -> bytes -> bytes -> bytes -> bytes.
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(* The FIPS 205 sk_from_seed driver: derive (skSeed, skPrf, pkSeed) via
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SHAKE256 expansion, compute pkRoot via the inner setup primitive,
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pack the result. *)
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op sk_from_seed : mode -> bytes -> bytes.
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(* The two "secret-segment extractors" used in
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Magnetar_N1_Atom_Refinement to discharge the closure-equivalence.
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These are abstract values that capture "the n-byte secret material
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the closure feeds at every PRF / PRF_msg call". *)
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op slhdsa_prf_secret_for_atom : mode -> (bytes -> bytes -> bytes) -> bytes.
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op slhdsa_prf_msg_secret_for_atom : mode -> (bytes -> bytes -> bytes) -> bytes.
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(* FIPS 205 sec 10 correctness: SignDeterministic produces a verifiable
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signature for any well-formed sk. Black-box from NIST. *)
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op slh_sign_deterministic : mode -> bytes -> bytes -> bytes -> bytes.
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op slh_verify : mode -> bytes (* pk *) -> bytes -> bytes -> bytes -> bool.
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op pk_from_sk : mode -> bytes -> bytes.
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axiom slhdsa_correctness :
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forall m sk msg ctx,
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slh_verify m (pk_from_sk m sk) msg
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(slh_sign_deterministic m sk msg ctx) ctx
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= true.
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