// SPDX-License-Identifier: Apache-2.0 // © 2026 Lutar, Stephen P. — SZL Holdings // ORCID: 0009-0001-0110-4173 // // Layer 6 — a11oy policy gate for EconomicGrounding (A14) // // Policy rationale: // Gate passes only if the declared action cost ≤ registered actor budget // at evaluation time. Required for financial services (SR 11-7 position // limits), insurance underwriting ceilings, and SEC Rule 17a-4 order size // compliance. // // Lean axiom cited: `economicGrounding` (A14) // Lean file: Lutar/Gate/EconomicGrounding.lean // Lean commit SHA: 1dca00032dfc9aa8559cc6c2e4b63192fcf52371 // Lean status: theorem (ENFORCED) // // Policy: if cost ≤ budget → allow; else → deny // // References: // Zenodo: https://doi.org/10.5281/zenodo.20162352 // INNOVATIONS.md §3 A14: economicGrounding export interface EconomicGroundingGateConfig { /** Allow cost == budget exactly. Default: true. */ allowAtBudget?: boolean; } export interface EconomicGroundingGateOpts { actionCost: number; actorBudget: number; actorId: string; timestampMs?: number; } export interface EconomicGroundingDecision { allow: boolean; rationale: string; formula: string; leanTheorem: string; leanFile: string; leanCommitSha: string; actionCost: number; actorBudget: number; budgetRemaining: number; utilizationRate: number; lambdaScore: number; } const LEAN_THEOREM = "economicGrounding"; const LEAN_FILE = "Lutar/Gate/EconomicGrounding.lean"; const LEAN_COMMIT = "1dca00032dfc9aa8559cc6c2e4b63192fcf52371"; // ── Inline formula ──────────────────────────────────────────────────────────── // A14: gate_pass(r) ⟹ cost(r) ≤ B_actor(t) /** * EconomicGrounding (A14) policy gate. * * Passes when the declared action cost falls within the actor's registered * budget. Provides the financial constraint layer required for regulated * verticals (SR 11-7, MiFID II, SEC Rule 17a-4). * * Lean axiom: `economicGrounding` (A14) * Lean file: Lutar/Gate/EconomicGrounding.lean (commit 1dca00032dfc9aa8559cc6c2e4b63192fcf52371) * Zenodo: https://doi.org/10.5281/zenodo.20162352 */ export function economicGroundingGate( config: EconomicGroundingGateConfig = {} ): (opts: EconomicGroundingGateOpts) => EconomicGroundingDecision { const allowAtBudget = config.allowAtBudget ?? true; return function gate(opts: EconomicGroundingGateOpts): EconomicGroundingDecision { const { actionCost, actorBudget, actorId } = opts; if (!Number.isFinite(actionCost) || actionCost < 0) { throw new Error(`EconomicGroundingGate: actionCost must be ≥ 0; got ${actionCost}`); } if (!Number.isFinite(actorBudget) || actorBudget < 0) { throw new Error(`EconomicGroundingGate: actorBudget must be ≥ 0; got ${actorBudget}`); } if (!actorId) throw new Error(`EconomicGroundingGate: actorId is required`); const allow = allowAtBudget ? actionCost <= actorBudget : actionCost < actorBudget; const budgetRemaining = Math.max(0, actorBudget - actionCost); const utilizationRate = actorBudget > 0 ? actionCost / actorBudget : (actionCost === 0 ? 0 : Infinity); const lambdaScore = allow ? 1.0 - utilizationRate * 0.5 : 0.0; const rationale = allow ? `EconomicGrounding (A14): actor="${actorId}" cost=${actionCost} ≤ budget=${actorBudget}; remaining=${budgetRemaining}. Passes. Lean: ${LEAN_THEOREM} @${LEAN_COMMIT.slice(0, 12)}` : `EconomicGrounding (A14): actor="${actorId}" cost=${actionCost} > budget=${actorBudget} — budget exceeded. Denied. Lean: ${LEAN_THEOREM} @${LEAN_COMMIT.slice(0, 12)}`; return { allow, rationale, formula: "EconomicGrounding", leanTheorem: LEAN_THEOREM, leanFile: LEAN_FILE, leanCommitSha: LEAN_COMMIT, actionCost, actorBudget, budgetRemaining, utilizationRate, lambdaScore }; }; }