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Verify proofs, check theorem correctness, and solve satisfiability problems using Lean 4, Coq, and Z3 SMT solver. Use when the user asks to prove theorems, verify mathematical proofs, check logical satisfiability, or work with proof assistants.
Codex 또는 Claude로 설치 이 Prompt를 복사해 Codex, Claude 또는 다른 어시스턴트에 붙여 넣으면 Skill 페이지를 검토하고 설치를 진행할 수 있습니다.
SOC 직업 분류 기준
Core academic workspace tools: LaTeX compilation, Jupyter execution, PDF loading, UI control, content updates, and arXiv paper conversion. Use when the user asks to compile LaTeX, run Python code, load PDFs, display data, or control workspace editors.
Read and analyze arXiv papers by fetching LaTeX source, listing sections, or extracting abstracts. Use when the user mentions arXiv, research papers, preprints, paper IDs like 2301.xxxxx, or wants to read academic publications.
List installed skills, search the skill registry, install new skills, and manage workspace extensions. Use when the user asks to find, install, list, or configure skills, or mentions skill registry, extensions, or workspace capabilities.
Verify proofs, check theorem correctness, and solve satisfiability problems using Lean 4, Coq, and Z3 SMT solver. Use when the user asks to prove theorems, verify mathematical proofs, check logical satisfiability, or work with proof assistants.
Browse trending papers, search by keyword, and get paper details from Hugging Face Papers. Use when the user wants to find ML research, asks about recent AI papers, trending models, or mentions Hugging Face Papers.
Compile LaTeX documents to PDF using pdflatex, xelatex, or lualatex with template support. Use when the user asks to compile .tex files, build a LaTeX document, generate PDF from LaTeX, or typeset an academic paper.
| name | formal-methods |
| description | Verify proofs, check theorem correctness, and solve satisfiability problems using Lean 4, Coq, and Z3 SMT solver. Use when the user asks to prove theorems, verify mathematical proofs, check logical satisfiability, or work with proof assistants. |
Formal verification tools for the academic workspace. Type-check Lean 4 proofs, verify Coq theories, and solve SMT satisfiability problems with Z3.
This skill wraps locally installed formal verification provers (lean, coqc, z3) via subprocess. No Docker or external services required.
prover_status to see which provers are installedlean_check, coq_check, or z3_solve to verifyType-check Lean 4 code.
Parameters:
code (string, required): Lean 4 source codefilename (string, optional): Source filename (default: check.lean)Returns: { success, output, errors, returncode }
Example:
{ "code": "theorem add_comm (a b : Nat) : a + b = b + a := Nat.add_comm a b" }
Check a Coq proof for correctness.
Parameters:
code (string, required): Coq source codefilename (string, optional): Source filename (default: check.v)Returns: { success, compiled, output, errors, returncode }
Example:
{ "code": "Theorem plus_comm : forall n m : nat, n + m = m + n.\nProof. intros. lia. Qed." }
Compile a Coq file to a .vo object file.
Parameters:
code (string, required): Coq source codefilename (string, optional): Source filename (default: compile.v)Returns: { success, compiled, output, errors, returncode }
Solve a satisfiability problem using Z3 with SMT-LIB2 format.
Parameters:
formula (string, required): SMT-LIB2 formulaReturns: { success, result, model }
Example:
{ "formula": "(declare-const x Int)\n(assert (> x 5))\n(check-sat)\n(get-model)" }
Check which formal provers are available and their versions.
Parameters: None
Returns: { provers: { lean4: { available, version }, coq: { available, version }, z3: { available, version } } }
lean, coqc, z3)