Equational theories project: metatheorems and how to formalise them
- π€ Speaker: HernΓ‘n Ibarra Mejia, THG and Anand Rao Tadipatri, University of Cambridge
- π Date & Time: Thursday 31 October 2024, 17:00 - 18:00
- π Venue: MR14 Centre for Mathematical Sciences
Abstract
In late September this year, mathematician Terence Tao launched the equational theories project (https://teorth.github.io/equational_theories/) with the purpose of mapping out the space of equational theories of magmas; the broader objective of the project is also to experiment with a paradigm of large-scale collaborative mathematical research where results are proved with a combination of human contribution and automated tools, all formally verified using a proof assistant. The project is slightly over four weeks in and 99.9991% complete, with only 20 open conjectures remaining. This talk is about an approach used in the project to prove a broad class of anti-implications between magma laws using meta-theorems and the techniques that were used to formalize these proofs.
Recording: https://www.youtube.com/watch?v=wKpl771bav8
=== Hybrid talk ===
Series This talk is part of the Formalisation of mathematics with interactive theorem provers series.
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HernΓ‘n Ibarra Mejia, THG and Anand Rao Tadipatri, University of Cambridge
Thursday 31 October 2024, 17:00-18:00