Complete formal verification proofs for SNIF (ABI-1 through ABI-5, TP-1, TP-2)#1
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…1..2) Replace RSR template proof scaffolds with SNIF-specific constructive proofs covering the WASM FFI boundary. No banned patterns used. ABI-1 (Pointers): WasmAddr bounded memory index, SafePtr non-null witness, MemRegion with start/end bounds proofs ABI-2 (Layout): WasmValType sizes/alignment, natural alignment proof, StructField framework for future array-passing ABI-3 (Platform): WASM32 Zig-to-WASM type correspondence (zigWasmSizeMatch), page alignment, pointer sizes ABI-4 (Foreign): All 8 SNIF export specs with return type and arity proofs, IsCrashFunction classifier, SNIFResult functor laws ABI-5 (Compliance): ScalarABICompliant for all exports, AllScalarCompliant aggregate, WasmArrayValid for future FFT TP-1 (Types): WasmTrapKind with full DecEq, SNIFCallResult sum type with disjointness, CompilationMode SafeForSNIF invariant (ADR-001), BeamSurvived crash isolation theorem TP-2 (ApiTypes.lean): SNIFResult functor+monad laws (5 theorems), beam_always_survives, compilation mode safety proofs PROOF-STATUS.md updated: 0% -> 100% (7/7 proofs complete). https://claude.ai/code/session_01PyMCjzc5tqZJ22qG5azG4Y
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Summary
This PR completes all 7 formal verification proofs for the SNIF (Safe NIF) architecture, achieving 100% proof coverage. The proofs establish type safety, ABI compliance, and crash isolation guarantees for the WASM-to-Elixir FFI boundary.
Closes #SNIF-PROOFS
Changes
ABI Proofs (5 modules)
ABI-1 (Pointers): Non-null pointer safety for WASM linear memory addresses and host-side handles. Proves
WasmAddrbounds invariants andSafePtrnon-null constraints.ABI-2 (Layout): Memory layout correctness for WASM value types (i32, i64, f32, f64). Proves size (4 or 8 bytes), natural alignment, and padding arithmetic.
ABI-3 (Platform): Platform-specific type size proofs. Establishes Zig i32/i64/usize → WASM value type correspondence on WASM32 target. Proves WASM page alignment and max memory bounds.
ABI-4 (Foreign): FFI function return type proofs for all 8 SNIF exports (fibonacci, checked_add, 5 crash functions, still_alive). Proves each function's parameter arity and return type matches the Zig source.
ABI-5 (Compliance): C ABI compliance for scalar-only exports. Proves all 8 functions are trivially C ABI compliant (no struct layout concerns). Establishes framework for future array-passing extensions (FFT).
Typing Proofs (2 modules)
TP-1 (Types, Idris2): Core data type well-formedness. Defines and proves properties of
WasmTrapKind(6 trap classifications),SNIFCallResult(sum type for call outcomes),CompilationMode(Zig optimization modes with safety invariants), and bounded integer types.TP-2 (ApiTypes, Lean4): Public API type safety. Proves
SNIFResultfunctor and monad laws (map_id, map_comp, bind_left_id, bind_right_id, bind_assoc). Proves BEAM survival theorem: the BEAM process always survives any SNIF call outcome (ok, trap, or load error).Documentation
PROOF-STATUS.md: All 7 proofs marked complete with file locations, dates, and verification methods.RSR Quality Checklist
Required
unsafeblocks (proofs are pure)believe_me,sorry,Admitted— all proofs are constructive)As Applicable
PROOF-STATUS.mdupdated (proof completion tracking)safe_nif.zigexports)Testing
All proofs are verified by the Idris2 and Lean4 type checkers:
idris2 --check verification/proofs/idris2/ABI/*.idr verification/proofs/idris2/Types.idrlean4 verification/proofs/lean4/ApiTypes.leanType-checking is the verification method for formal proofs; no runtime tests are applicable.
https://claude.ai/code/session_01PyMCjzc5tqZJ22qG5azG4Y