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docs(proofs): update PROOF-NEEDS.md — Obj.magic eliminated, V11/V12 I2/P2 remain
Clarifies which proof obligations need which prover: - V1-V5 P0: Lean4/TLA+/Coq specialists required - V6-V8 P1: Lean4/Agda/Isabelle specialists required - V11/V12 P2: I2-actionable (Obj.magic already eliminated in connectors) Priority downgraded from HIGH to MEDIUM. Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>
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PROOF-NEEDS.md

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# PROOF-NEEDS.md — nextgen-databases
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## Current State
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## Current State (Updated 2026-04-11)
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- **src/abi/*.idr**: YES (in lithoglyph) — `BofigEntities.idr`, `GQLdt/ABI/Foreign.idr`
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- **VeriSimDB ABI**: `verisimdb/src/abi/``Types.idr`, `Layout.idr`, `Foreign.idr` (873 LOC, genuine domain ABI)
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- **Lithoglyph ABI**: `lithoglyph/``BofigEntities.idr`, `GQLdt/ABI/Foreign.idr`
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- **Dangerous patterns**: 0 (4 references are documentation asserting "no believe_me" invariant)
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- **LOC**: ~202,000 (Rust + Idris2)
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- **ABI layer**: Lithoglyph has Idris2 ABI with constructive proofs, explicit no-believe_me policy
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- **Connector Obj.magic casts**: ELIMINATED 2026-04-10 — 5 ReScript connectors now use typed externals
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## What Needs Proving
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| Component | What | Why |
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|-----------|------|-----|
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| VeriSimDB WAL correctness | Write-ahead log guarantees durability and ordering | WAL bugs cause data loss — the worst database bug |
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| VeriSimDB transaction isolation | ACID properties hold under concurrent access | Isolation violations corrupt data silently |
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| VeriSimDB ZKP bridge | Zero-knowledge proof generation is sound | Unsound ZKP breaks semantic verification |
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| VeriSimDB HNSW index | Vector similarity search returns correct nearest neighbours | Wrong results from vector search corrupt ML pipelines |
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| VeriSimDB query planner | Query optimization preserves result equivalence | Optimized query must return same results as unoptimized |
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| VeriSimDB drift detection | Drift detector correctly identifies schema changes | Missed drift causes silent data corruption |
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| Lithoglyph entity proofs | Extend BofigEntities constructive proofs | Current proofs cover basic entities; need full coverage |
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| QuandleDB algebraic laws | Quandle operations satisfy rack/quandle axioms | Mathematical structure must be correct by construction |
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### P0 — Critical (require Lean4/TLA+/Coq — not I2)
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## Recommended Prover
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| # | Component | Prover | Notes |
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|---|-----------|--------|-------|
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| V1 | Octad coherence invariant | I2 | 8 modalities mutually consistent post-operation |
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| V2 | VQL type inference soundness | Cq/L4 | Bidirectional inference correct |
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| V3 | VQL subtyping transitivity + decidability | L4 | |
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| V4 | Raft consensus safety | L4 | No log divergence after commit |
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| V5 | Transaction atomicity | TLA | All-or-nothing across 8 modalities |
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**Idris2** — Lithoglyph already has constructive Idris2 proofs. VeriSimDB WAL and transaction proofs fit naturally. ZKP soundness may need **Coq** for deeper cryptographic proofs.
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### P1 — High (require Lean4/Agda/Isabelle — not I2)
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## Priority
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| # | Component | Prover | Notes |
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|---|-----------|--------|-------|
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| V6 | WAL integrity | L4 | CRC, replay idempotence, segment ordering |
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| V7 | Provenance chain immutability | Ag | Hash chain, monotonic timestamps |
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| V8 | Drift metric correctness | Iz | Detection algorithm numerical bounds |
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### P2 — Standard (I2 actionable)
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| # | Component | Prover | Notes |
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|---|-----------|--------|-------|
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| V11 | Connector type safety | I2 | Obj.magic eliminated; Idris2 proof of typed external shapes |
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| V12 | FFI pointer validity + memory ownership | I2 | `verisimdb/src/abi/Foreign.idr` lifetime model |
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**HIGH** — VeriSimDB is the standard database across the ecosystem. WAL correctness and transaction isolation are critical — bugs here corrupt data in every downstream project. The ZKP bridge is security-critical.
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Note: V9/V10 require TLA+ (not I2).
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## Template ABI Cleanup (2026-03-29)
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## Recommended Prover
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**Idris2** for V11/V12 (P2, I2-actionable). V0-V8 require Lean4/Agda/Isabelle/TLA+ specialists.
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## Priority
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Template ABI removed -- was creating false impression of formal verification.
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The removed files (Types.idr, Layout.idr, Foreign.idr) contained only RSR template
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scaffolding with unresolved {{PROJECT}}/{{AUTHOR}} placeholders and no domain-specific proofs.
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**MEDIUM** (was HIGH) — V1-V8 require non-Idris2 provers. V11/V12 (I2/P2) are the remaining I2-actionable items; Obj.magic already eliminated from connectors. WAL/transaction/consensus remain open for L4/TLA+ sessions.

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