Formally verifies mathematical statements and generates Lean 4 proofs using Harmonic's Aristotle engine.
The Aristotle Prover skill bridges the gap between natural language mathematical inquiries and formal verification by leveraging Harmonic’s Aristotle engine. It allows users to translate complex conjectures into Lean 4, fill theorem stubs, and detect counterexamples for false claims. This skill is essential for researchers, developers working on algorithm correctness, and mathematicians who need high-assurance proofs for convergence, bounds, or logical properties without leaving their terminal environment.
Key Features
01Natural language to Lean 4 formalization and proof generation
02Automated theorem proving via the Harmonic Aristotle API
03Verification of algorithm correctness and regret bounds
04Counterexample detection for invalid mathematical claims
05Automated filling of 'sorry' stubs in existing Lean files
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Use Cases
01Proving convergence guarantees for machine learning optimization algorithms
02Verifying the correctness of complex sorting or numerical methods
03Formalizing informal mathematical notes into verified Lean 4 codebases
