4 papers
The Educational Proof Assistant Waterproof in an Introductory Proof Course: Proof Construction and Learning Processes
Pim Otte, Rogier Bos, Johan Commelin +1
We study the use of an educational proof assistant in an introductory proof course through a quasi-experiment in a varied setting: multiple teachers, students with different study…
Shaping the Future of Mathematics in the Age of AI
Johan Commelin, Mateja Jamnik, Rodrigo Ochigame +2
Artificial intelligence is transforming mathematics at a speed and scale that demand active engagement from the mathematical community. We examine five areas where this transformat…
Growing Mathlib: maintenance of a large scale mathematical library
Anne Baanen, Matthew Robert Ballard, Johan Commelin +3
The Lean mathematical library Mathlib is one of the fastest-growing libraries of formalised mathematics. We describe various strategies to manage this growth, while allowing for ch…
Exponential periods and o-minimality
Johan Commelin, Philipp Habegger, Annette Huber
Let be an exponential period. We show that the real and imaginary part of are up to signs volumes of sets definable in the o-minimal structure generated by…