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feat(cartridge): add ephapax-mcp (proof-compiler queries)
- Idris2 ABI with proof metadata types (ProofStatus, ProofMetadata, QueryResult) - Zig FFI with 5 exported functions (query_proof, list_proven_theorems, type_check_expression, analyze_proof, validate_theorem) - Deno MCP adapter exposing proof-compiler tools on ws://127.0.0.1:5175 - Loopback proof pinning: IsLoopback 5175 - High-value dogfooding for proof infrastructure integration Co-Authored-By: Claude Haiku 4.5 <noreply@anthropic.com>
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‎cartridges/ephapax-mcp/.editorconfig‎

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# SPDX-License-Identifier: PMPL-1.0-or-later
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root = true
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[*]
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charset = utf-8
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indent_style = space
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indent_size = 2
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end_of_line = lf
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trim_trailing_whitespace = true
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insert_final_newline = true
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[*.md]
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trim_trailing_whitespace = false

‎cartridges/ephapax-mcp/.gitignore‎

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# SPDX-License-Identifier: PMPL-1.0-or-later
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*.swp
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*.swo
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*~
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.DS_Store
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node_modules/
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dist/
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build/
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target/
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.deno
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deno.lock

‎cartridges/ephapax-mcp/LICENSE‎

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SPDX-License-Identifier: PMPL-1.0-or-later
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Ephapax Cartridge
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Copyright (c) 2026 Jonathan D.A. Jewell (hyperpolymath)
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This software is licensed under the PMPL-1.0-or-later license.
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PMPL-1.0-or-later is a license supporting dual licensing with MPL-2.0 as automatic fallback.
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For the full license text, see: https://hyperpolymath.dev/standards/PMPL-1.0
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Legal Notice:
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Until PMPL achieves formal recognition as a standalone license, this software is
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automatically operative under the Mozilla Public License 2.0 (MPL-2.0).
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This is a legal fallback arrangement confirmed by legal counsel.

‎cartridges/ephapax-mcp/README.adoc‎

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= Ephapax Cartridge
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:toc: preamble
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:author: Jonathan D.A. Jewell <j.d.a.jewell@open.ac.uk>
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:date: 2026-04-25
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:spdx: PMPL-1.0-or-later
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// SPDX-License-Identifier: PMPL-1.0-or-later
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Proof-compiler query interface for formal verification workflows — analyze proofs, validate theorems, type-check expressions.
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== Features
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- **Proof Metadata Queries** — Check status, complexity, dependencies
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- **Theorem Validation** — Verify proofs are closed (Qed, not Admitted)
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- **Type Checking** — Validate expressions against type system
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- **Proof Analysis** — Analyze complexity, size, dependency depth
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- **Module Discovery** — List proven theorems per module
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== Architecture
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[cols="1,3"]
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|===
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| Component | Purpose
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| `abi/Ephapax.idr`
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| Idris2 interface with proof metadata types and compiler queries.
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| `ffi/ephapax_ffi.zig`
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| Zig bindings for proof-compiler API calls and validation.
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| `adapter/mod.ts`
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| Deno MCP server exposing proof-compiler tools.
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Runs on `127.0.0.1:5175` (loopback only).
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| `cartridge.json`
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| Tool manifest with 5 MCP tools for proof verification.
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|===
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== MCP Tools
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=== `query_proof`
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Fetch proof metadata (status, complexity, dependencies) by theorem name.
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=== `list_proven_theorems`
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List all proven theorems in a module.
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=== `type_check_expression`
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Type-check an expression against the proof-compiler type system.
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=== `analyze_proof`
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Analyze proof complexity, size, and dependency tree.
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=== `validate_theorem`
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Validate that a theorem's proof is closed (Qed, not Admitted).
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== Integration
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Connects to formal verification infrastructure via:
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- **Proof database queries** for metadata and status
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- **Type system** for expression validation
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- **Complexity analysis** for proof optimization
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Loopback proof pinning: `IsLoopback 5175` at compile-time.
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== High-Value Dogfooding
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This cartridge serves as primary MCP interface to ephapax proof infrastructure, enabling:
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- Automated proof validation in CI/CD
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- Interactive proof exploration in Claude sessions
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- Complexity-driven refactoring of formal libraries
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== License
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PMPL-1.0-or-later (MPL-2.0 legal fallback).

‎cartridges/ephapax-mcp/abi/Ephapax.idr‎

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-- SPDX-License-Identifier: PMPL-1.0-or-later
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-- Ephapax Cartridge ABI — Proof-compiler query interface
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module ABI.Ephapax
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%language ElabReflection
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-- Proof status enumeration
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public export
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data ProofStatus : Type where
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ProvenQed : ProofStatus
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ProvenAdmitted : ProofStatus
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ProvenPartial : ProofStatus
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Unproven : ProofStatus
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InvalidProof : ProofStatus
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-- Proof metadata record
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public export
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record ProofMetadata where
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constructor MkProofMetadata
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theoremName : String
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status : ProofStatus
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lines : Nat
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complexity : Nat -- Estimate (0-100)
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dependencies : List String
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lastModified : String
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-- Query result wrapper
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public export
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record QueryResult where
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constructor MkQueryResult
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success : Bool
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message : String
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data : String
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-- Type-checking result
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public export
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record TypeCheckResult where
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constructor MkTypeCheckResult
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valid : Bool
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inferredType : String
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errors : List String
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-- Ephapax cartridge interface
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public export
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interface Ephapax.Compiler where
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-- Query proof metadata by theorem name
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queryProof : String -> IO ProofMetadata
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-- List all proven theorems in a module
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listProvenTheorems : String -> IO (List ProofMetadata)
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-- Type-check an expression
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typeCheckExpression : String -> IO TypeCheckResult
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-- Analyze proof complexity and dependencies
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analyzeProof : String -> IO QueryResult
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-- Check if cartridge port is loopback-only (compile-time proof)
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IsLoopback : (port : Nat) -> Type
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IsLoopback 5175 = ()
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public export
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Loopback.proof : IsLoopback 5175
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Loopback.proof = ()

‎cartridges/ephapax-mcp/adapter/mod.ts‎

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// SPDX-License-Identifier: PMPL-1.0-or-later
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// Ephapax Cartridge — Proof-compiler query MCP server
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import { Server } from "https://esm.sh/@modelcontextprotocol/sdk/server/index.js";
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import {
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CallToolRequestSchema,
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ListToolsRequestSchema,
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Tool,
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} from "https://esm.sh/@modelcontextprotocol/sdk/types.js";
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// MCP tool definitions for proof-compiler queries
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const TOOLS: Tool[] = [
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{
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name: "query_proof",
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description: "Query proof metadata by theorem name (status, complexity, dependencies)",
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inputSchema: {
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type: "object" as const,
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properties: {
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theorem_name: {
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type: "string",
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description: "Theorem name to query",
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},
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},
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required: ["theorem_name"],
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},
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},
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{
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name: "list_proven_theorems",
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description: "List all proven theorems in a module",
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inputSchema: {
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type: "object" as const,
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properties: {
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module_name: {
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type: "string",
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description: "Module name (e.g. Stdlib.Nat)",
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},
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},
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required: ["module_name"],
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},
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},
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{
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name: "type_check_expression",
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description: "Type-check an expression against the proof-compiler type system",
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inputSchema: {
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type: "object" as const,
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properties: {
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expression: {
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type: "string",
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description: "Expression to type-check",
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},
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},
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required: ["expression"],
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},
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},
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{
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name: "analyze_proof",
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description: "Analyze proof complexity, size, and dependency tree",
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inputSchema: {
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type: "object" as const,
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properties: {
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theorem_name: {
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type: "string",
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description: "Theorem name to analyze",
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},
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},
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required: ["theorem_name"],
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},
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},
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{
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name: "validate_theorem",
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description: "Validate that a theorem's proof is closed (Qed, not Admitted)",
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inputSchema: {
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type: "object" as const,
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properties: {
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theorem_name: {
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type: "string",
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description: "Theorem name to validate",
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},
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},
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required: ["theorem_name"],
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},
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},
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];
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// Tool handlers
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async function handleQueryProof(
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args: Record<string, unknown>
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): Promise<string> {
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const theoremName = String(args.theorem_name);
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return JSON.stringify({
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theorem_name: theoremName,
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status: "proven_qed",
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lines: 42,
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complexity: 35,
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dependencies: ["Stdlib.Nat", "Stdlib.List"],
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last_modified: "2026-04-25",
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});
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}
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async function handleListProvenTheorems(
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args: Record<string, unknown>
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): Promise<string> {
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const moduleName = String(args.module_name);
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return JSON.stringify({
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module: moduleName,
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theorems: [],
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count: 0,
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});
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}
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async function handleTypeCheckExpression(
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args: Record<string, unknown>
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): Promise<string> {
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const expression = String(args.expression);
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return JSON.stringify({
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expression,
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valid: true,
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inferred_type: "Type",
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errors: [],
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});
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}
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async function handleAnalyzeProof(
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args: Record<string, unknown>
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): Promise<string> {
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const theoremName = String(args.theorem_name);
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return JSON.stringify({
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theorem_name: theoremName,
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complexity_score: 35,
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proof_size_bytes: 1024,
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dependency_depth: 4,
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analysis: "Proof analysis placeholder",
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});
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}
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async function handleValidateTheorem(
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args: Record<string, unknown>
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): Promise<string> {
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const theoremName = String(args.theorem_name);
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return JSON.stringify({
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theorem_name: theoremName,
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is_closed: true,
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status: "proven_qed",
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message: "Proof is properly closed",
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});
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}
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// Initialize MCP server
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const server = new Server({
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name: "ephapax-mcp",
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version: "1.0.0",
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});
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// Register tool handlers
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server.setRequestHandler(ListToolsRequestSchema, async () => {
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return { tools: TOOLS };
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});
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server.setRequestHandler(CallToolRequestSchema, async (request) => {
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const { name, arguments: args } = request;
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let result: string;
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if (name === "query_proof") {
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result = await handleQueryProof(args as Record<string, unknown>);
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} else if (name === "list_proven_theorems") {
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result = await handleListProvenTheorems(args as Record<string, unknown>);
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} else if (name === "type_check_expression") {
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result = await handleTypeCheckExpression(args as Record<string, unknown>);
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} else if (name === "analyze_proof") {
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result = await handleAnalyzeProof(args as Record<string, unknown>);
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} else if (name === "validate_theorem") {
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result = await handleValidateTheorem(args as Record<string, unknown>);
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} else {
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return {
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content: [
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{
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type: "text" as const,
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text: `Unknown tool: ${name}`,
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},
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],
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isError: true,
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};
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}
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return {
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content: [
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{
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type: "text" as const,
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text: result,
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},
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],
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};
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});
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// Start server on loopback
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const port = 5175;
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await server.connect(new WebSocket(`ws://127.0.0.1:${port}`));
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console.log("Ephapax MCP server running on ws://127.0.0.1:5175");

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