TYPES 2025: International Conference on Types for Proofs and Programs

TYPES 2025, the International Conference on Types for Proofs and Programs, is the annual meeting for researchers working on type theory and its applications to mathematical proof formalization, programming language design, and verified software development. Core topics include dependent type systems, proof assistants such as Coq, Agda, Lean, and Isabelle, homotopy type theory, constructive mathematics, program extraction from proofs, and the formal verification of software correctness.

Type theory sits at the intersection of mathematical logic, theoretical computer science, and programming language research, and TYPES reflects that breadth. The conference attracts proof theorists, programming language researchers, certified software engineers, and mathematicians who use proof assistants to verify complex results. As formal verification moves from research curiosity to industrial practice — with verified components appearing in operating systems, compilers, and cryptographic protocols — TYPES has become an increasingly important venue for the foundational work that makes that progress possible.

type theory proof assistants dependent types formal verification constructive mathematics functional programming program correctness proof formalization