A marriage of formal methods and LLMs seeks to harness the strengths of both.

Modal logic, an extension of classical logic, investigates the modes of truth such as necessity and possibility. Its development has been closely intertwined with advances in proof theory, a field ...

What seem to be Kurt Gödel's first notes on logic, an exercise notebook of 84 pages, contains formal proofs in higher-order arithmetic and set theory. The choice of these topics is clearly suggested ...

This integration addresses the fundamental barriers that have historically limited formal verification adoption: complexity ...

MIT Press recently published Fundamental Proof Methods in Computer Science, a book by Konstantine Arkoudas and David Musser, a professor emeritus of computer science at the Rensselaer Polytechnic ...

Computer-assisted of mathematical proofs are not new. For example, computers were used to confirm the so-called 'four color theorem.' In a short release, 'Proof by computer,' the American Mathematical ...

I first started teaching Geometry last year and have taken over "Informal Geometry" this year. As the name of the second class implies, the idea of formal proof is strongly de-emphasized; this class ...