The Extended Predicative Mahlo Universe and the Need for Partial Proofs

Explore a 41-minute lecture on the extended predicative Mahlo Universe and its implications for partial proofs in Martin-Löf Type Theory. Delve into the challenges of impredicative definitions in the Mahlo Universe and discover a more predicative justification proposed through Explicit Mathematics. Examine the concept of weakening subuniverse closure requirements and the necessity of partial functions in this approach. Investigate the potential development of a new type theory that incorporates partial functions and partial proofs. Gain insights into advanced topics in mathematical logic, type theory, and the foundations of mathematics as presented by Anton Setzer at the Hausdorff Center for Mathematics during the Hausdorff Trimester Program on Types, Sets and Constructions.