AxiomMLS

AxiomMLS is a mathematical language and proof assistant designed to formalize mathematical knowledge and verify the correctness of mathematical proofs. It is based on the Metamath language, which is a highly expressive and flexible language for representing mathematical statements and proofs. AxiomMLS extends Metamath by adding features such as a more user-friendly syntax, support for higher-order logic, and improved proof automation.

The language is designed to be both expressive and easy to use, allowing mathematicians and computer scientists to write formal proofs in a natural and intuitive way. It supports a wide range of mathematical concepts, including set theory, category theory, and type theory, making it a versatile tool for formalizing a broad range of mathematical knowledge.

AxiomMLS includes a proof assistant that helps users construct and verify proofs. The proof assistant provides a variety of tools for automating routine proof steps, such as rewriting and simplification, as well as more advanced techniques such as induction and case analysis. It also includes a library of previously proven theorems and definitions, which users can reference in their own proofs.

The language and proof assistant are open-source and freely available, making them accessible to a wide range of users. They have been used in a variety of applications, including the formal verification of mathematical theorems, the development of new mathematical theories, and the exploration of the foundations of mathematics.