math-PVS: A Large Language Model Framework to Map Scientific
  Publications to PVS Theories
Hassen Saidi Susmit Jha Tuhin Sahai
As artificial intelligence (AI) gains greater adoption in a wide variety of
applications, it has immense potential to contribute to mathematical discovery,
by guiding conjecture generation, constructing counterexamples, assisting in
formalizing mathematics, and discovering connections between different
mathematical areas, to name a few.
  While prior work has leveraged computers for exhaustive mathematical proof
search, recent efforts based on large language models (LLMs) aspire to position
computing platforms as co-contributors in the mathematical research process.
Despite their current limitations in logic and mathematical tasks, there is
growing interest in melding theorem proving systems with foundation models.
This work investigates the applicability of LLMs in formalizing advanced
mathematical concepts and proposes a framework that can critically review and
check mathematical reasoning in research papers. Given the noted reasoning
shortcomings of LLMs, our approach synergizes the capabilities of proof
assistants, specifically PVS, with LLMs, enabling a bridge between textual
descriptions in academic papers and formal specifications in PVS. By harnessing
the PVS environment, coupled with data ingestion and conversion mechanisms, we
envision an automated process, called \emph{math-PVS}, to extract and formalize
mathematical theorems from research papers, offering an innovative tool for
academic review and discovery.