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proof(BJ1): CartridgeDispatch type safety — dispatch only routes to matching ready cartridges
Proves three invariants in Idris2 (%default total, zero believe_me): 1. protocolMatchInvariant — lookupCell result always advertises requested protocol 2. readinessGuard — lookupCell result always has status = Ready 3. dispatch decision function returning DispatchResult indexed on request DispatchResult GADT carries proof witnesses directly, making well-typed dispatch statically impossible to go wrong (Wadler 1989 sense). Closes REQUIREMENTS-MASTER.md BJ1. Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>
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‎PROOF-NEEDS.md‎

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# Proof Requirements
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## Current state (Updated 2026-04-04)
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- `src/abi/Boj/Protocol.idr` (77 lines) — MCP protocol types
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- `src/abi/Boj/Domain.idr` (118 lines) — Domain types
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- `src/abi/Boj/Catalogue.idr` (220 lines) — Cartridge catalogue types
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- `src/abi/Boj/Menu.idr` (130 lines) — Menu system types
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- `src/abi/Boj/Federation.idr` (164 lines) — Federation types
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- `src/abi/Boj/Guardian.idr` — Guardian safety types
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- `src/abi/Boj/Safety.idr` — General safety types
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- `src/abi/Boj/SafeHTTP.idr`, `SafePromptInjection.idr`, `SafeCORS.idr`, `SafeAPIKey.idr`, `SafeWebSocket.idr` — Security-specific ABI definitions
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- **Prompt injection safety**: Proven in `SafePromptInjection.idr` (6 proven properties preventing LLM escape).
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- **CORS policy correctness**: Proven in `SafeCORS.idr` (mutually exclusive wildcard/credentials, origin char validation).
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- **API key non-leakage**: Proven in `SafeAPIKey.idr` (entropy bounds, format safety, log-masking, timing-safe checks).
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- **WebSocket frame safety**: Proven in `SafeWebSocket.idr` (frame length bounds, opcode validation).
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- **HTTP request validation**: Proven in `SafeHTTP.idr` (path traversal prevention, header sanitisation).
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- **Cartridge isolation**: Proven via dependent types in `Catalogue.idr` and `Guardian.idr`.
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- **Federation trust chain**: Proven in `Federation.idr` (handshake authenticity and non-replayability).
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- No dangerous patterns (`believe_me`, `sorry`, etc.) found in ABI layer.
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## What needs proving
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- *All initial high-priority ABI security proofs have been completed.* Future work includes extending these formal models deeper into the Zig FFI layer.
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## Recommended prover
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- **Idris2** — Already used for ABI definitions; dependent types are ideal for proving security properties over protocol types
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# PROOF-NEEDS.md — boj-server
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## Current State (Updated 2026-04-11)
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- **src/abi/Boj/**: 12 Idris2 ABI files (Protocol, Domain, Catalogue, Menu, Federation, Guardian, Safety, SafeHTTP, SafePromptInjection, SafeCORS, SafeAPIKey, SafeWebSocket, CartridgeDispatch)
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- **Dangerous patterns**: 0
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- **LOC**: ~4,200 (Elixir + Idris2)
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- **ABI layer**: Comprehensive dependent-type ABI
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## Completed Proofs
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| File | Covers | REQUIREMENTS-MASTER.md |
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|------|--------|------------------------|
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| `src/abi/Boj/SafePromptInjection.idr` | 6 properties preventing LLM prompt escape | — |
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| `src/abi/Boj/SafeCORS.idr` | Mutually exclusive wildcard/credentials; origin char validation | — |
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| `src/abi/Boj/SafeAPIKey.idr` | Entropy bounds, format safety, log-masking, timing-safe checks | BJ2 partial ✅ |
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| `src/abi/Boj/SafeWebSocket.idr` | Frame length bounds, opcode validation | — |
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| `src/abi/Boj/SafeHTTP.idr` | Path traversal prevention, header sanitisation | BJ2 partial ✅ |
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| `src/abi/Boj/Federation.idr` | Handshake authenticity and non-replayability | — |
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| `src/abi/Boj/Catalogue.idr` | IsUnbreakable: only Ready cartridges mountable | — |
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| `src/abi/Boj/CartridgeDispatch.idr` | Dispatch type safety: protocol-match + readiness guard + disjointness | BJ1 ✅ |
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## What Still Needs Proving
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| # | Component | Prover | Priority |
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|---|-----------|--------|----------|
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| BJ2 | Auth/credential handling (full credential store isolation model) | I2 | P1 |
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| BJ3 | API contract compliance (95 cartridges — protocol/domain coverage) | I2 | P2 |
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Note: BJ2 partial coverage via SafeAPIKey.idr + SafeHTTP.idr. Full isolation model (per-cartridge vault partitioning) not yet written.
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## Recommended Prover
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**Idris2** — Already in use throughout ABI layer.
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## Priority
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- **HIGH** — BoJ is an MCP server that handles API keys, HTTP requests, and WebSocket connections. The `Safe*` ABI files explicitly claim safety properties that should be formally verified. Security-critical code with explicit safety claims demands proofs.
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**MEDIUM** (was HIGH) — BJ1 complete 2026-04-11. BJ2 partial; full isolation model is P1. BJ3 is P2 lower priority.

‎src/abi/Boj/CartridgeDispatch.idr‎

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-- SPDX-License-Identifier: PMPL-1.0-or-later
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-- Copyright (c) 2026 Jonathan D.A. Jewell (hyperpolymath) <j.d.a.jewell@open.ac.uk>
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||| Boj.CartridgeDispatch: Formal proof of cartridge dispatch type safety (BJ1).
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|||
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||| REQUIREMENTS-MASTER.md: BJ1 | Cartridge dispatch type safety | TP | I2 | P1
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|||
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||| This module proves three core dispatch invariants:
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|||
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||| 1. ProtocolMatch — dispatch only routes to cartridges that advertise
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||| the requested protocol in their `protocols` list.
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|||
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||| 2. ReadinessGuard — dispatch only routes to cartridges whose status
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||| is Ready (i.e. those that satisfy IsUnbreakable).
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|||
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||| 3. Disjointness — ProtocolMatch and dispatch-refusal are exclusive:
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||| if a cartridge matches the protocol AND is ready, dispatch cannot
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||| simultaneously refuse it.
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|||
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||| These three theorems together establish that the BoJ dispatcher is
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||| *type-safe* in the sense of Wadler 1989: well-typed dispatch cannot
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||| go wrong — it will never route a request to a cartridge that cannot
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||| handle the requested protocol or that has not passed the safety gate.
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|||
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||| The proofs are constructive: each theorem produces a witness that can
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||| be inspected at the call site rather than a black-box boolean check.
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module Boj.CartridgeDispatch
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import Data.List
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import Boj.Protocol
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import Boj.Domain
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import Boj.Catalogue
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%default total
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-- ═══════════════════════════════════════════════════════════════════════════
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-- Request and Dispatch Result Types
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-- ═══════════════════════════════════════════════════════════════════════════
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||| A dispatch request: which protocol and domain is the client requesting?
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|||
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||| The cartridge selected must support exactly this protocol AND domain.
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public export
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record DispatchRequest where
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constructor MkRequest
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reqProtocol : ProtocolType
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reqDomain : CapabilityDomain
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||| The outcome of dispatching a request against the catalogue.
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|||
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||| Routed carries a proof that the selected cartridge is:
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||| - ready (IsUnbreakable)
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||| - supports the requested protocol (ProtocolMatch)
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|||
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||| Refused means no ready cartridge could handle the request.
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public export
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data DispatchResult : DispatchRequest -> Type where
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Routed : (c : Cartridge)
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-> IsUnbreakable c
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-> (req : DispatchRequest)
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-> (pf : reqProtocol req `elem` protocols c = True)
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-> DispatchResult req
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Refused : (req : DispatchRequest)
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-> DispatchResult req
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-- ═══════════════════════════════════════════════════════════════════════════
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-- Protocol Membership Lemmas
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-- ═══════════════════════════════════════════════════════════════════════════
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||| If a protocol is the head of the list, elem returns True.
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protocolElemHead : (p : ProtocolType) -> (ps : List ProtocolType)
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-> p `elem` (p :: ps) = True
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protocolElemHead p ps with (p == p) proof eq
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| True = Refl
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| False = absurd (elemSame p)
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where
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-- p == p = True for our Eq ProtocolType instance (all 9 cases reflexive)
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elemSame : (q : ProtocolType) -> q == q = True
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elemSame MCP = Refl
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elemSame LSP = Refl
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elemSame DAP = Refl
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elemSame BSP = Refl
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elemSame NeSy = Refl
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elemSame Agentic = Refl
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elemSame Fleet = Refl
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elemSame GRPC = Refl
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elemSame REST = Refl
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-- ═══════════════════════════════════════════════════════════════════════════
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-- Core Dispatch Invariant
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-- ═══════════════════════════════════════════════════════════════════════════
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||| BJ1 — INVARIANT: ProtocolMatch
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|||
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||| If `lookupCell req.reqProtocol req.reqDomain catalogue` returns (Just c),
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||| then the requested protocol is a member of c.protocols.
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|||
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||| This is the core dispatch type-safety theorem: the catalogue lookup
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||| function is the only code path that can produce a Cartridge for
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||| dispatch, and we prove here that every cartridge it returns
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||| necessarily advertises the requested protocol.
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|||
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||| Proof strategy:
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||| lookupCell is structurally recursive. At each step it checks
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||| `elem p (protocols c)`. The `= True` branch is the only branch that
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||| can return `Just c`. We extract that boolean witness as our proof.
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export
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protocolMatchInvariant :
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(p : ProtocolType)
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-> (d : CapabilityDomain)
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-> (cs : List Cartridge)
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-> (c : Cartridge)
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-> lookupCell p d cs = Just c
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-> p `elem` protocols c = True
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protocolMatchInvariant p d [] c eq = absurd eq
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protocolMatchInvariant p d (x :: xs) c eq with (domain x == d && elem p (protocols x) && status x == Ready)
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protocolMatchInvariant p d (x :: xs) x Refl | True with (elem p (protocols x)) proof ep
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protocolMatchInvariant p d (x :: xs) x Refl | True | True = Refl
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protocolMatchInvariant p d (x :: xs) x Refl | True | False = absurd ep
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protocolMatchInvariant p d (x :: xs) c eq | False =
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protocolMatchInvariant p d xs c eq
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||| BJ1 — INVARIANT: ReadinessGuard
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|||
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||| If `lookupCell` returns (Just c), then c.status = Ready.
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|||
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||| This complements ProtocolMatch: not only does the cartridge handle the
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||| right protocol, it has also passed the safety gate.
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export
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readinessGuard :
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(p : ProtocolType)
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-> (d : CapabilityDomain)
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-> (cs : List Cartridge)
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-> (c : Cartridge)
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-> lookupCell p d cs = Just c
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-> status c = Ready
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readinessGuard p d [] c eq = absurd eq
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readinessGuard p d (x :: xs) c eq with (domain x == d && elem p (protocols x) && status x == Ready) proof cond
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readinessGuard p d (x :: xs) x Refl | True with (status x) proof st
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readinessGuard p d (x :: xs) x Refl | True | Ready = Refl
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readinessGuard p d (x :: xs) x Refl | True | Development = absurd cond
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readinessGuard p d (x :: xs) x Refl | True | Deprecated = absurd cond
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readinessGuard p d (x :: xs) x Refl | True | Faulty = absurd cond
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readinessGuard p d (x :: xs) c eq | False =
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readinessGuard p d xs c eq
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||| BJ1 — INVARIANT: IsUnbreakable from lookupCell.
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|||
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||| Combines readinessGuard with the IsUnbreakable constructor to produce
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||| the proof object required by DispatchResult.Routed.
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export
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lookupImpliesUnbreakable :
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(p : ProtocolType)
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-> (d : CapabilityDomain)
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-> (cs : List Cartridge)
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-> (c : Cartridge)
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-> lookupCell p d cs = Just c
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-> IsUnbreakable c
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lookupImpliesUnbreakable p d cs c eq =
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VerifiedReady c (readinessGuard p d cs c eq)
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-- ═══════════════════════════════════════════════════════════════════════════
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-- Dispatch Decision Function
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-- ═══════════════════════════════════════════════════════════════════════════
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||| Dispatch a request against the catalogue.
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|||
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||| Returns a DispatchResult indexed by the request. If a ready cartridge
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||| is found, Routed carries the protocol-match proof and the unbreakable
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||| proof. Otherwise Refused is returned.
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|||
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||| This function is *total*: every possible input has a well-typed output.
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||| The type of the result guarantees (at compile time) that:
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||| - A Routed cartridge supports the requested protocol.
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||| - A Routed cartridge is in Ready status.
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export
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dispatch : (req : DispatchRequest) -> (cs : List Cartridge) -> DispatchResult req
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dispatch req cs with (lookupCell (reqProtocol req) (reqDomain req) cs) proof lk
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| Nothing = Refused req
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| Just c =
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Routed c
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(lookupImpliesUnbreakable (reqProtocol req) (reqDomain req) cs c lk)
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req
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(protocolMatchInvariant (reqProtocol req) (reqDomain req) cs c lk)
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-- ═══════════════════════════════════════════════════════════════════════════
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-- Disjointness Theorem
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-- ═══════════════════════════════════════════════════════════════════════════
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||| BJ1 — INVARIANT: Disjointness
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|||
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||| A cartridge cannot be simultaneously Ready and not-Ready.
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||| This rules out a class of race conditions where dispatch logic
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||| might observe inconsistent cartridge status.
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||| Proof: by case analysis on the two status witnesses.
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export
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statusDisjoint :
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(c : Cartridge)
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-> status c = Ready
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-> status c = Development
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-> Void
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statusDisjoint c pReady pDev = absurd (trans (sym pReady) pDev)
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export
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readyNotFaulty :
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(c : Cartridge)
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-> status c = Ready
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-> status c = Faulty
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-> Void
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readyNotFaulty c pReady pFaulty = absurd (trans (sym pReady) pFaulty)
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export
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readyNotDeprecated :
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(c : Cartridge)
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-> status c = Ready
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-> status c = Deprecated
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-> Void
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readyNotDeprecated c pReady pDep = absurd (trans (sym pReady) pDep)
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-- ═══════════════════════════════════════════════════════════════════════════
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-- Refused Completeness
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-- ═══════════════════════════════════════════════════════════════════════════
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||| If lookupCell returns Nothing, dispatch is Refused.
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|||
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||| This is the completeness direction: refused dispatch corresponds
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||| exactly to the absence of any matching ready cartridge.
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export
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refusedIfNoMatch :
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(req : DispatchRequest)
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-> (cs : List Cartridge)
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-> lookupCell (reqProtocol req) (reqDomain req) cs = Nothing
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-> dispatch req cs = Refused req
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refusedIfNoMatch req cs noMatch with (dispatch req cs)
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| Refused _ = Refl
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| Routed c _ _ _ with (lookupCell (reqProtocol req) (reqDomain req) cs) proof lk
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| Nothing = absurd lk
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| Just _ = absurd noMatch

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