// 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.
| 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. |
| _source | Canonical source at /skills/formal-methods/SKILL.md |
Formal verification tools for the academic workspace. Type-check Lean 4 proofs, verify Coq theories, and solve SMT satisfiability problems with Z3.
prover_status to see which provers are installedlean_check, coq_check, or z3_solve to verifylean_check — Type-check Lean 4 code. Params: code (required), filenamecoq_check — Check a Coq proof. Params: code (required), filenamecoq_compile — Compile Coq to .vo object file. Params: code (required), filenamez3_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.
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.
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.
Load, analyze, and visualize datasets using pandas with AG Grid display. Use when the user asks to analyze CSV data, explore a dataframe, create charts, filter tabular data, or display spreadsheet-like results.