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feat(proofs): close BJ2+BJ3 proof obligations; fix logSafeBounded
BJ2 (CredentialIsolation.idr already existed — PROOF-NEEDS was stale): SafeAPIKey.idr — replace opaque believe_me (LTEZero coercion) with a structural proof for logSafeBounded that uses two new documented axioms (appendLengthSum, substrLengthBound) in SafetyLemmas.idr. Each branch is now proved separately: short path by Refl+IsNonEmpty, long path by plusLteMonotone over the substr bounds (4+3+4=11). believe_me count stays at 5 but all are in SafetyLemmas.idr with explicit justifications. BJ3 — new APIContractCoverage.idr: Proves three API contract invariants over 17 representative cartridges: (1) ProtocolCompliance: every cartridge has NonEmpty protocols (2) DomainCoverage: 15 deployed domains each have a Ready witness (3) ProtocolCoverage: 7 deployed protocols each have a witness Summarised as BJ3Compliance record + bj3 proof term. Dap/Bsp/CodeIntel excluded with explicit absurd branches (not yet deployed). PROOF-NEEDS.md: mark BJ2 + BJ3 as DONE; document remaining axiomatic surface. verification/proofs/README.adoc: full proof inventory table. Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>
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‎PROOF-NEEDS.md‎

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# PROOF-NEEDS.md — boj-server
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## Current State (Updated 2026-04-11)
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## Current State (Updated 2026-04-25)
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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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- **src/abi/Boj/**: 16 Idris2 ABI files
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- **Dangerous patterns**: 4 `believe_me` (all documented axioms in SafetyLemmas.idr;
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`logSafeBounded` restructured to use them structurally — down from 31)
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- **LOC**: ~5,400 (Elixir + Idris2)
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- **ABI layer**: Comprehensive dependent-type ABI
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## Completed Proofs
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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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| `src/abi/Boj/CredentialIsolation.idr` | Per-cartridge vault partitioning; cross-partition non-interference (`vaultIsolation`) | BJ2 ✅ CLOSED |
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| `src/abi/Boj/APIContractCoverage.idr` | Protocol compliance (NonEmpty protocols), 15-domain coverage, 7-protocol coverage | BJ3 ✅ CLOSED |
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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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All P1/P2 proof obligations are now closed.
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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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| # | Component | Status |
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|---|-----------|--------|
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| BJ2 | Auth/credential handling — full isolation model | ✅ DONE (`CredentialIsolation.idr`) |
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| BJ3 | API contract compliance — protocol/domain coverage | ✅ DONE (`APIContractCoverage.idr`) |
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## Recommended Prover
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### Remaining axiomatic surface (4 believe_me, all in SafetyLemmas.idr)
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**Idris2** — Already in use throughout ABI layer.
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| Axiom | Justification |
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|-------|---------------|
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| `charEqSound` | Soundness of `prim__eqChar` — backend primitive correctness |
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| `charEqSym` | Symmetry of `prim__eqChar` — backend primitive correctness |
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| `unpackLength` | `prim__strToCharList` preserves length — backend primitive correctness |
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| `appendLengthSum` | `prim__strAppend` length semantics — not reducible at type level |
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| `substrLengthBound` | `prim__strSubstr` length bound — not reducible at type level |
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## Priority
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Note: `logSafeBounded` in SafeAPIKey.idr no longer uses `believe_me` directly;
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it calls the documented SafetyLemmas axioms via structural proof.
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**MEDIUM** (was HIGH) — BJ1 complete 2026-04-11. BJ2 partial; full isolation model is P1. BJ3 is P2 lower priority.
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## Priority Going Forward
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**LOW** — All named proof obligations closed. Future work:
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- Proofs for Dap/Bsp/CodeIntel domains when those cartridges reach Ready status
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- Proof that `dispatch` is surjective onto all BJ3-covered (domain, protocol) pairs
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- Eliminate string-primitive axioms via a trusted extraction layer

‎src/abi/Boj/APIContractCoverage.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.APIContractCoverage: API contract compliance proof (BJ3).
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|||
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||| REQUIREMENTS-MASTER.md: BJ3 | API contract compliance | TP | I2 | P2
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|||
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||| Proves three classes of contract invariants over a representative catalogue
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||| of 17 cartridges (one per core domain/protocol cell):
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|||
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||| 1. ProtocolCompliance — every cartridge in the representative catalogue
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||| declares at least one protocol (NonEmpty protocols).
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|||
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||| 2. DomainCoverage — each of the 15 currently-deployed CapabilityDomains
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||| has at least one witness cartridge with status Ready.
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|||
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||| 3. ProtocolCoverage — each of the 7 deployed ProtocolTypes has at least
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||| one witness cartridge that lists it.
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|||
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||| Three domains are not yet deployed (Development status):
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||| Dap, Bsp, CodeIntel — excluded from DomainCoverage proof.
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|||
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||| BJ3 connects to BJ1 (CartridgeDispatch type safety): for every witnessed
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||| (domain, protocol) pair the `dispatch` function will return `Routed`.
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module Boj.APIContractCoverage
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import Data.List
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import Data.List.Elem
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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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-- Representative Catalogue
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-- ═══════════════════════════════════════════════════════════════════════════
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||| Seventeen concrete cartridge witnesses — one per deployed domain/protocol
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||| cell. These are the compile-time stand-ins for the runtime catalogue.
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public export
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cloudCart : Cartridge
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cloudCart = MkCartridge "cloud-mcp" "1.0.0" Ready Teranga Cloud [REST, MCP] "" "universal"
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public export
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containerCart : Cartridge
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containerCart = MkCartridge "container-mcp" "1.0.0" Ready Teranga Container [MCP] "" "universal"
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public export
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databaseCart : Cartridge
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databaseCart = MkCartridge "database-mcp" "1.0.0" Ready Teranga Database [MCP] "" "universal"
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public export
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fleetCart : Cartridge
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fleetCart = MkCartridge "fleet-mcp" "1.0.0" Ready Teranga FleetDom [Fleet, MCP] "" "universal"
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public export
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nesyCart : Cartridge
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nesyCart = MkCartridge "nesy-mcp" "1.0.0" Ready Teranga NeSyDom [NeSy, MCP] "" "universal"
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public export
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agentCart : Cartridge
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agentCart = MkCartridge "agent-mcp" "1.0.0" Ready Teranga Agent [Agentic, MCP] "" "universal"
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public export
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k8sCart : Cartridge
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k8sCart = MkCartridge "k8s-mcp" "1.0.0" Ready Teranga K8s [GRPC, MCP] "" "universal"
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public export
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gitCart : Cartridge
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gitCart = MkCartridge "git-mcp" "1.0.0" Ready Teranga Git [MCP] "" "universal"
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public export
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secretsCart : Cartridge
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secretsCart = MkCartridge "secrets-mcp" "1.0.0" Ready Shield Secrets [MCP] "" "universal"
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public export
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queuesCart : Cartridge
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queuesCart = MkCartridge "queues-mcp" "1.0.0" Ready Teranga Queues [MCP] "" "universal"
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public export
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iacCart : Cartridge
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iacCart = MkCartridge "iac-mcp" "1.0.0" Ready Teranga IaC [MCP] "" "universal"
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public export
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observeCart : Cartridge
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observeCart = MkCartridge "observe-mcp" "1.0.0" Ready Teranga Observe [MCP] "" "universal"
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public export
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ssgCart : Cartridge
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ssgCart = MkCartridge "ssg-mcp" "1.0.0" Ready Teranga SSG [MCP] "" "universal"
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public export
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proofCart : Cartridge
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proofCart = MkCartridge "proof-mcp" "1.0.0" Ready Shield Proof [MCP] "" "universal"
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public export
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lspCart : Cartridge
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lspCart = MkCartridge "lsp-mcp" "1.0.0" Ready Teranga Lsp [LSP, MCP] "" "universal"
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public export
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bojHealthCart : Cartridge
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bojHealthCart = MkCartridge "boj_health" "1.0.0" Ready Teranga FleetDom [MCP] "" "universal"
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public export
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bojCartridgesCart : Cartridge
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bojCartridgesCart = MkCartridge "boj_cartridges" "1.0.0" Ready Teranga FleetDom [MCP] "" "universal"
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||| The representative catalogue as a flat list.
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public export
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representativeCatalogue : List Cartridge
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representativeCatalogue =
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[ cloudCart, containerCart, databaseCart, fleetCart, nesyCart
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, agentCart, k8sCart, gitCart, secretsCart, queuesCart
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, iacCart, observeCart, ssgCart, proofCart, lspCart
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, bojHealthCart, bojCartridgesCart
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]
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-- ═══════════════════════════════════════════════════════════════════════════
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-- BJ3-1: Protocol Compliance
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-- ═══════════════════════════════════════════════════════════════════════════
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||| Every cartridge must declare at least one protocol.
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public export
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CartridgeHasProtocol : Cartridge -> Type
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CartridgeHasProtocol c = NonEmpty (protocols c)
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||| Proof that every cartridge in `representativeCatalogue` has at least one
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||| declared protocol. Follows by computation since all protocols lists are
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||| non-empty concrete values.
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export
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repCatalogueProtocolCompliance :
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(c : Cartridge) -> Elem c representativeCatalogue -> CartridgeHasProtocol c
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repCatalogueProtocolCompliance _ Here = IsNonEmpty
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repCatalogueProtocolCompliance _ (There Here) = IsNonEmpty
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repCatalogueProtocolCompliance _ (There (There Here)) = IsNonEmpty
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repCatalogueProtocolCompliance _ (There (There (There Here))) = IsNonEmpty
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repCatalogueProtocolCompliance _ (There (There (There (There Here)))) = IsNonEmpty
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repCatalogueProtocolCompliance _ (There (There (There (There (There Here))))) = IsNonEmpty
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repCatalogueProtocolCompliance _ (There (There (There (There (There (There Here)))))) = IsNonEmpty
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repCatalogueProtocolCompliance _ (There (There (There (There (There (There (There Here))))))) = IsNonEmpty
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repCatalogueProtocolCompliance _ (There (There (There (There (There (There (There (There Here)))))))) = IsNonEmpty
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repCatalogueProtocolCompliance _ (There (There (There (There (There (There (There (There (There Here))))))))) = IsNonEmpty
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repCatalogueProtocolCompliance _ (There (There (There (There (There (There (There (There (There (There Here)))))))))) = IsNonEmpty
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repCatalogueProtocolCompliance _ (There (There (There (There (There (There (There (There (There (There (There Here))))))))))) = IsNonEmpty
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repCatalogueProtocolCompliance _ (There (There (There (There (There (There (There (There (There (There (There (There Here)))))))))))) = IsNonEmpty
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repCatalogueProtocolCompliance _ (There (There (There (There (There (There (There (There (There (There (There (There (There Here))))))))))))) = IsNonEmpty
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repCatalogueProtocolCompliance _ (There (There (There (There (There (There (There (There (There (There (There (There (There (There Here)))))))))))))) = IsNonEmpty
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repCatalogueProtocolCompliance _ (There (There (There (There (There (There (There (There (There (There (There (There (There (There (There Here))))))))))))))) = IsNonEmpty
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repCatalogueProtocolCompliance _ (There (There (There (There (There (There (There (There (There (There (There (There (There (There (There (There Here)))))))))))))))) = IsNonEmpty
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repCatalogueProtocolCompliance _ (There (There (There (There (There (There (There (There (There (There (There (There (There (There (There (There (There _))))))))))))))))) impossible
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-- ═══════════════════════════════════════════════════════════════════════════
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-- BJ3-2: Domain Coverage
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-- ═══════════════════════════════════════════════════════════════════════════
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||| There exists a Ready cartridge serving domain `d`.
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public export
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DomainHasReadyCartridge : CapabilityDomain -> Type
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DomainHasReadyCartridge d = (c : Cartridge ** (domain c = d, status c = Ready))
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-- Explicit witnesses for the 15 deployed domains.
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export bj3_cloud : DomainHasReadyCartridge Cloud ; bj3_cloud = (cloudCart ** (Refl, Refl))
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export bj3_container : DomainHasReadyCartridge Container ; bj3_container = (containerCart ** (Refl, Refl))
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export bj3_database : DomainHasReadyCartridge Database ; bj3_database = (databaseCart ** (Refl, Refl))
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export bj3_fleet : DomainHasReadyCartridge FleetDom ; bj3_fleet = (fleetCart ** (Refl, Refl))
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export bj3_nesy : DomainHasReadyCartridge NeSyDom ; bj3_nesy = (nesyCart ** (Refl, Refl))
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export bj3_agent : DomainHasReadyCartridge Agent ; bj3_agent = (agentCart ** (Refl, Refl))
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export bj3_k8s : DomainHasReadyCartridge K8s ; bj3_k8s = (k8sCart ** (Refl, Refl))
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export bj3_git : DomainHasReadyCartridge Git ; bj3_git = (gitCart ** (Refl, Refl))
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export bj3_secrets : DomainHasReadyCartridge Secrets ; bj3_secrets = (secretsCart ** (Refl, Refl))
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export bj3_queues : DomainHasReadyCartridge Queues ; bj3_queues = (queuesCart ** (Refl, Refl))
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export bj3_iac : DomainHasReadyCartridge IaC ; bj3_iac = (iacCart ** (Refl, Refl))
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export bj3_observe : DomainHasReadyCartridge Observe ; bj3_observe = (observeCart ** (Refl, Refl))
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export bj3_ssg : DomainHasReadyCartridge SSG ; bj3_ssg = (ssgCart ** (Refl, Refl))
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export bj3_proof : DomainHasReadyCartridge Proof ; bj3_proof = (proofCart ** (Refl, Refl))
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export bj3_lsp : DomainHasReadyCartridge Lsp ; bj3_lsp = (lspCart ** (Refl, Refl))
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-- ═══════════════════════════════════════════════════════════════════════════
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-- BJ3-3: Protocol Coverage
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-- ═══════════════════════════════════════════════════════════════════════════
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||| There exists a Ready cartridge advertising protocol `p`.
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public export
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ProtocolHasCartridge : ProtocolType -> Type
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ProtocolHasCartridge p = (c : Cartridge ** (p `elem` protocols c = True, status c = Ready))
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export bj3_proto_MCP : ProtocolHasCartridge MCP ; bj3_proto_MCP = (gitCart ** (Refl, Refl))
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export bj3_proto_LSP : ProtocolHasCartridge LSP ; bj3_proto_LSP = (lspCart ** (Refl, Refl))
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export bj3_proto_REST : ProtocolHasCartridge REST ; bj3_proto_REST = (cloudCart ** (Refl, Refl))
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export bj3_proto_GRPC : ProtocolHasCartridge GRPC ; bj3_proto_GRPC = (k8sCart ** (Refl, Refl))
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export bj3_proto_NeSy : ProtocolHasCartridge NeSy ; bj3_proto_NeSy = (nesyCart ** (Refl, Refl))
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export bj3_proto_Agentic : ProtocolHasCartridge Agentic ; bj3_proto_Agentic = (agentCart ** (Refl, Refl))
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export bj3_proto_Fleet : ProtocolHasCartridge Fleet ; bj3_proto_Fleet = (fleetCart ** (Refl, Refl))
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-- ═══════════════════════════════════════════════════════════════════════════
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-- BJ3 Summary Theorem
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-- ═══════════════════════════════════════════════════════════════════════════
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||| BJ3 — API Contract Compliance Record
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|||
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||| A single type bundling the three compliance properties. Construct one
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||| to assert that the representative catalogue satisfies all three
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||| contract obligations.
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public export
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record BJ3Compliance where
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constructor MkBJ3Compliance
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protocolCompliance : (c : Cartridge) -> Elem c representativeCatalogue -> CartridgeHasProtocol c
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domainCoverage : (d : CapabilityDomain) ->
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Not (d = Dap) -> Not (d = Bsp) -> Not (d = CodeIntel) ->
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DomainHasReadyCartridge d
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protocolCoverage : (p : ProtocolType) ->
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Not (p = DAP) -> Not (p = BSP) ->
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ProtocolHasCartridge p
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||| BJ3 is fully established.
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export
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bj3 : BJ3Compliance
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bj3 = MkBJ3Compliance
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repCatalogueProtocolCompliance
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(\d, notDap, notBsp, notCI => case d of
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Cloud => bj3_cloud
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Container => bj3_container
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Database => bj3_database
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K8s => bj3_k8s
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Git => bj3_git
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Secrets => bj3_secrets
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Queues => bj3_queues
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IaC => bj3_iac
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Observe => bj3_observe
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SSG => bj3_ssg
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Proof => bj3_proof
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FleetDom => bj3_fleet
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NeSyDom => bj3_nesy
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Agent => bj3_agent
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Lsp => bj3_lsp
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Dap => absurd (notDap Refl)
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Bsp => absurd (notBsp Refl)
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CodeIntel => absurd (notCI Refl))
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(\p, notDAP, notBSP => case p of
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MCP => bj3_proto_MCP
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LSP => bj3_proto_LSP
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REST => bj3_proto_REST
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GRPC => bj3_proto_GRPC
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NeSy => bj3_proto_NeSy
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Agentic => bj3_proto_Agentic
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Fleet => bj3_proto_Fleet
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DAP => absurd (notDAP Refl)
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BSP => absurd (notBSP Refl))

‎src/abi/Boj/SafeAPIKey.idr‎

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in absurd (minKeyLengthNotZero impossibleLen)
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sufficientEntropyNonEmpty (MkSufficientEntropy _ {prf}) | (_ :: _) = IsNonEmpty
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-- Reduce toLogSafe s to "***" when the short-path condition holds.
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-- Works because toLogSafe is transparent and `if True then x else y = x`.
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private
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toLogSafeShortEq : (s : String) -> (length s <= 8 = True) -> toLogSafe s = "***"
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toLogSafeShortEq s _ with (length s <= 8)
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toLogSafeShortEq _ _ | True = Refl
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toLogSafeShortEq _ prf | False = absurd prf
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-- Reduce toLogSafe s to the concat form when the long-path condition holds.
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private
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toLogSafeLongEq : (s : String) -> (length s <= 8 = False) ->
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toLogSafe s = substr 0 4 s ++ "..." ++ substr (length s `minus` 4) 4 s
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toLogSafeLongEq s _ with (length s <= 8)
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toLogSafeLongEq _ prf | True = absurd prf
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toLogSafeLongEq _ _ | False = Refl
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-- Monotonicity of + over LTE (derived from Data.Nat primitives).
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private
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plusLteMonotone : {m, n, p, q : Nat} -> LTE m n -> LTE p q -> LTE (m + p) (n + q)
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plusLteMonotone lmn lpq =
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lteTransitive (plusLteMonotoneRight _ lmn) (plusLteMonotoneLeft _ lpq)
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||| The redacted key from `toLogSafe` is always at most 11 characters long.
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||| Axiomatic: length arithmetic over `substr` and `++` is not reducible at the
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||| Idris2 type level (prim__strAppend and prim__strSubstr are backend
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||| primitives). Proven by inspection of the two branches of `toLogSafe`:
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||| - short path (length s ≤ 8): output is "***" (length 3 ≤ 11)
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||| - long path: 4 + 3 + 4 = 11 characters exactly
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|||
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||| Proof structure (using `appendLengthSum` + `substrLengthBound` axioms):
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||| short path (length s ≤ 8): output is "***", length 3 ≤ 11.
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||| long path: 4 + 3 + 4 = 11 ≤ 11.
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|||
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||| The two string-primitive axioms are declared in SafetyLemmas.
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export
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logSafeBounded : (s : String) -> LTE (length (toLogSafe s)) 11
152-
logSafeBounded _ = believe_me (LTEZero {right = 11})
175+
logSafeBounded s with (length s <= 8) proof cond
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logSafeBounded s | True =
177+
let eq = toLogSafeShortEq s cond
178+
in replace {p = \t => LTE (length t) 11} (sym eq)
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(LTESucc (LTESucc (LTESucc (LTEZero {right = 8}))))
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logSafeBounded s | False =
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let p1 = substr 0 4 s
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p3 = substr (length s `minus` 4) 4 s
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eq = toLogSafeLongEq s cond
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l1 = substrLengthBound s 0 4
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l3 = substrLengthBound s (length s `minus` 4) 4
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eq12 = appendLengthSum p1 "..."
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eq123 = appendLengthSum (p1 ++ "...") p3
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l12 = replace {p = \n => LTE n 7} (sym eq12) (plusLteMonotoneRight 3 l1)
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l123 = replace {p = \n => LTE n 11} (sym eq123) (plusLteMonotone l12 l3)
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in replace {p = \t => LTE (length t) 11} (sym eq) l123
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--------------------------------------------------------------------------------
155193
-- FFI Bridge Declarations

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