Theorem proving in natural mathematical language–the mixture of symbolic and natural
language used by humans–plays a central role in mathematical advances and education …

This paper presents a novel approach to premise selection, a crucial reasoning task in
automated theorem proving. Traditionally, symbolic methods that rely on extensive domain …

Automating discovery in mathematics and science will require sophisticated methods of
information extraction and abstract reasoning, including models that can convincingly …

Informal mathematical text underpins real-world quantitative reasoning and communication.
Developing sophisticated methods of retrieval and abstraction from this dual modality is …

Theorem proving is a fundamental aspect of mathematics, spanning from informal reasoning
in mathematical language to rigorous derivations in formal systems. In recent years, the …

Premise selection, the problem of selecting a useful premise to prove a new theorem, is an
essential part of theorem proving. Existing language models cannot access knowledge …

With artificial intelligence (AI) being well established within the daily lives of research
communities, we turn our gaze toward an application area that appears intuitively unsuited …

The proof of a mathematical statement is a logical argument that establishes the statement's
truth [Ecc97]. A logical argument is formed by a sequence of implications starting from a set …