Aristotle

Aristotle Lean API is an artificial intelligence tool designed particularly to provide a new era of 'Vibe Proving' which aids users in addressing complex reasoning problems. It adopts the IMO (International Mathematics Olympiad) Gold Medal Level Intelligence engine to develop robust solutions to these problems. One of the main features of this API is the ability to 'autoformalize' English statements and proofs into a formally verified Lean4 proofs. It has the ability to adapt to various modes of inputs like LaTeX, markdown, or general questions, and it responds by furnishing formally verified Lean4 proofs as explanations. Aristotle Lean API smoothly integrates with user projects without causing disruptions. It leverages all available resources from the users' theorem and definition libraries along with other dependencies. Another significant attribute of this API is its capability to generate counterexamples when a statement is incorrect. This feature aids the users in identifying logical errors, overlooked edge cases, or even misformalizations. Furthermore, Aristotle Lean API is an important tool for autoformalization and formal verification tasks. Overall, it's an advanced tool that combines automatic theorem proving with the functionality of problem-solving and counterexample identification.