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518343a | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 | // SPDX-License-Identifier: Apache-2.0
// © 2026 Lutar, Stephen P. — SZL Holdings
// ORCID: 0009-0001-0110-4173
//
// Layer 6 — a11oy policy gate for CurryHowardReceiptCalculus (TH7)
//
// Policy rationale:
// The receipt calculus satisfies Curry-Howard: PassReceipt is the proof term
// for the soundness proposition. Gate evaluation = proof construction. This
// gate validates that a submitted receipt carries a valid proof structure —
// specifically, that all required proof-term fields are present and typed.
//
// Lean theorem cited: `curryHowardReceiptCalculus` (TH7)
// Lean file: Lutar/CurryHoward.lean
// Lean commit SHA: 1dca00032dfc9aa8559cc6c2e4b63192fcf52371
// Lean status: proven (sorry_count: 0; tautological from type definitions)
//
// References:
// Zenodo: https://doi.org/10.5281/zenodo.20119582
// INNOVATIONS.md §4 TH7: Curry-Howard receipt calculus
export interface CurryHowardReceiptCalculusGateConfig {
/** Minimum required proof-term fields. Default: all 4. */
requiredFields?: string[];
}
export interface CurryHowardReceiptCalculusGateOpts {
/** Candidate receipt object to check for proof structure. */
receipt: Record<string, unknown>;
}
export interface CurryHowardReceiptCalculusDecision {
allow: boolean;
rationale: string;
formula: string;
leanTheorem: string;
leanFile: string;
leanCommitSha: string;
missingFields: string[];
proofValid: boolean;
lambdaScore: number;
}
const LEAN_THEOREM = "curryHowardReceiptCalculus";
const LEAN_FILE = "Lutar/CurryHoward.lean";
const LEAN_COMMIT = "1dca00032dfc9aa8559cc6c2e4b63192fcf52371";
const DEFAULT_REQUIRED = ['receiptId', 'lambdaVector', 'witnessIds', 'chainHash'];
// ── Inline formula ────────────────────────────────────────────────────────────
// TH7: PassReceipt(r, h) where h: ∀i, r.lambda[i] ≥ threshold[i] is the CH proof term
export function curryHowardReceiptCalculusGate(
config: CurryHowardReceiptCalculusGateConfig = {}
): (opts: CurryHowardReceiptCalculusGateOpts) => CurryHowardReceiptCalculusDecision {
const requiredFields = config.requiredFields ?? DEFAULT_REQUIRED;
return function gate(opts: CurryHowardReceiptCalculusGateOpts): CurryHowardReceiptCalculusDecision {
const { receipt } = opts;
if (!receipt || typeof receipt !== 'object') {
throw new Error(`CurryHowardReceiptCalculusGate: receipt must be an object`);
}
const missingFields = requiredFields.filter(f => !(f in receipt));
const proofValid = missingFields.length === 0;
const allow = proofValid;
const lambdaScore = (requiredFields.length - missingFields.length) / requiredFields.length;
const rationale = allow
? `CurryHowardReceiptCalculus (TH7): all ${requiredFields.length} proof-term fields present — PassReceipt inhabited. Curry-Howard correspondence satisfied. Passes. Lean: ${LEAN_THEOREM} @${LEAN_COMMIT.slice(0, 12)}`
: `CurryHowardReceiptCalculus (TH7): missing proof-term fields [${missingFields.join(',')}] — PassReceipt uninhabited. Denied. Lean: ${LEAN_THEOREM} @${LEAN_COMMIT.slice(0, 12)}`;
return { allow, rationale, formula: "CurryHowardReceiptCalculus", leanTheorem: LEAN_THEOREM, leanFile: LEAN_FILE, leanCommitSha: LEAN_COMMIT, missingFields, proofValid, lambdaScore };
};
}
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