Formalization of Mathematics in Type Theory (Dagstuhl Seminar 18341)

Andrej Bauer, Martín Hötzel Escardó, Peter LeFanu Lumsdaine, Assia Mahboubi

Abstract: Formalized mathematics is mathematical knowledge (definitions, theorems, and proofs) represented in digital form suitable for computer processing. The central goal of this seminar was to identify the theoretical advances and practical improvements needed in the area of formalized mathematics, in order to make it a mature technology, truly useful to a larger community of students and researchers in mathematics. During the seminar, various software systems for formalization were compared, and potential improvements to existing systems were investigated. There have also been discussions on the representation of algebraic structures in formalization systems.