luminpulse-ai/formal-methods

formal-methods

Formal verification tools for the academic workspace. Type-check Lean 4 proofs, verify Coq theories, and solve SMT satisfiability problems with Z3.

Process

1. Check availability — Use prover_status to see which provers are installed
2. Write proof — Draft your Lean/Coq code or SMT formula
3. Verify — Use lean_check, coq_check, or z3_solve to verify
4. Iterate — Fix errors based on output and re-check

Tools

• lean_check — Type-check Lean 4 code. Params: code (required), filename
• coq_check — Check a Coq proof. Params: code (required), filename
• coq_compile — Compile Coq to .vo object file. Params: code (required), filename
• z3_solve — Solve SMT-LIB2 formula. Params: formula (required)
• prover_status — Check available provers and versions. No params.

Example:

{ "code": "theorem add_comm (a b : Nat) : a + b = b + a := Nat.add_comm a b" }

See canonical skill for full tool documentation and parameter details.