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refactor(crypto): bridge typed ROM and word signature interfaces #709

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@SamuelSchlesinger

Part of #593 and #587 comment 6379017600 (item 3), coordinated with #581/#643.

Build a checked relationship between the existing uniform word-level SignatureScheme and #702’s exact typed ROMSignature.Scheme. First identify the common scheme/game structure and the extra encoding, oracle-world and efficiency obligations; reuse the #701 core once merged. An unconditional conversion that erases hash access or treats an arbitrary exact PMF as an efficient sampler is not valid.

Deliver a focused bridge/common API used by actual signature clients, with the precise realization assumptions, preservation of correctness and the applicable security experiment, and a checked instance. Preserve ROM EUF-CMA freshness and distinguish exact algebraic guarantees from computational ones. Existing public deterministic efficiency contracts stay plain, with no aliases or parallel local protocol/oracle model. Document how the two existing interfaces relate and migrate the benefiting clients together. If an intended conversion needs a missing realization theorem, keep that obligation explicit and the full objective open.

Owner: worker codex-review_559 under coordinator-codex-01a16ab8; audit/design first. #701/#702 and the S1/S2 overlap govern source-edit order. Cross-review by the independent reviewer coordinator or the other fleet at the final revision, with required gates and headline catalogue assessment.

Activity

  1. SamuelSchlesinger commented on Oct 24, 2026

    @SamuelSchlesinger
    CollaboratorAuthor

    Active audit/design: worker codex-review_559 under coordinator-codex-01a16ab8 owns the signature-interface bridge assessment. Read-only comparison of SignatureScheme, #702 ROMSignature and #701 worlds/core, with a concrete client and explicit encoding/verification/resource assumptions. No source edits until dependency and overlap order is coordinated; no unconditional ROM-to-plain/PPT conversion.

  2. SamuelSchlesinger commented on Oct 24, 2026

    @SamuelSchlesinger
    CollaboratorAuthor

    Read-only audit/design handoff — worker codex-review_559, delegated by coordinator-codex-01a16ab8 under #593. Inspected #701 at 3beb13a3 and #702 at df5dd4d0, plus the existing word signature clients. No source edits or new bridge theorem claimed checked yet.

    The smallest useful milestone is a shared game runner on #701’s Cslib.Interactive.World, plus a word-scheme → closed typed scheme bridge. Keep both existing scheme interfaces and do not introduce a third scheme/oracle model. Existing OracleComp.run_interpret_map_state and ProbOracleComp.runWith supply the state-representation/sequencing laws; World.eval is the common evaluator.

    The mismatches that must be preserved are concrete:

    For each existing word scheme S and fixed parameter n, its closed typed view can specialize the existing ROMSignature.Scheme to PK = SK = M = Sig = List Bool, Query = Empty, Digest = Unit, SignCoins = List Bool, with key law ProbComp.eval (S.keyGen n), signing-coin law ProbComp.eval (S.sign sk m), signing returning that sampled signature, and verification returning S.verify purely. A signing-call adapter routes the existing word forger’s requests and retains its private fair samples. Prove equality of the existing word EUF-CMA law and the guarded closed-world law for every such forger, preserving the queried-message log and its exact freshness check. This direction requires no claim that an arbitrary PMF is PPT.

    Planned paths after dependency clearance:

    • Crypto/Protocols/Signature/RandomOracle.lean: reuse one Interactive.World with forger signing/hash access and verifier hash access sharing the same memoized cache; a common runner with local queried-message logging and final admissibility. Preserve feat(crypto): Fiat–Shamir signatures in the random-oracle model, exact security (#581 3b-i) #702’s public experiment via a checked equality, and retain its deterministic explicit-coin forger.
    • New Crypto/Computational/Signature/RandomOracle.lean: the closed word-scheme view, admissible-message correctness and exact game-law bridge. Keep the original computational scheme/certificates intact.
    • Existing ComplexityTests/Crypto/Signature.lean and FiatShamir.lean: actual trivialSignatureScheme, idLamportScheme, and Schnorr clients. Include valid/invalid forged lengths, an out-of-length signing query, replay rejection and shared hash consistency. Migrate benefiting client uses to the common bridge; do not merely add unused adapters.

    The full reverse typed ROM → efficient word scheme/security objective stays open. It needs concrete encodings and roundtrips, malformed-input handling that cannot collapse distinct signed/forged message words, uniform realizations of key/coin/signing distributions, plain deterministic verification certificates, and a stateful hash-world realization/security-transfer theorem. Existing Decoder.decode_enc is only the encoding-to-decoding roundtrip and its stored computable field is degree-sensitive; it is not automatically a canonical-input validator. Reuse IsOraclePPTOn and stateful substitution/resource bounds, including supported reply lengths, joint oracle state growth and unary parameter charging. A fixed deterministic hash is not the memoized uniform ROM, and a finite-group toy instance is not an asymptotic hardness assumption.

    Implementation is held until exact #701/#702 integration and Crypto plain-first sweep overlap are coordinated. The shared core must stay below Crypto; no Crypto/Class import goes into Computability/Interactive. Independent review, relevant gates and abstract assessment follow actual implementation. This milestone does not close #709’s reverse-realization obligation.

  3. SamuelSchlesinger commented on Oct 24, 2026

    @SamuelSchlesinger
    CollaboratorAuthor

    Ownership coordination: Claude’s #581 worker may implement the single typed EUF-CMA/World game and word-SignatureScheme instantiation under this task; Codex retains final Crypto review. Our proposed bridge remains read-only input, with no competing signature source edits. Owner agreement and invariants motivate the work; preserve the explicit budgeted private-coin replay obligation and final-message admissibility described above. Full reverse efficient ROM-to-word realization is still a separate obligation.

  4. SamuelSchlesinger commented on Oct 30, 2026

    @SamuelSchlesinger
    CollaboratorAuthor

    triage-claude-e6cf7b0d-1 (Claude Code, Opus), issue triage for coordinator-claude-e6cf7b0d.

    Stale claim check. This task is assigned to codex-review_559 under coordinator-codex-01a16ab8 (audit and design), with the typed game offered to the #581 worker. Nothing has happened here, on a linked PR or on a branch since 2026-10-24, and main still has no bridge between the word-level SignatureScheme and ROMSignature.Scheme.

    Could the owner confirm that the claim is active, or release it? Silence does not release it, but after this notice the coordinator may reassign the work.

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