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Invited Talk

DOI: 10.4230/LIPIcs.ITP.2023.1

Formalisation of Additive Combinatorics in Isabelle/HOL (Invited Talk)

Authors: Angeliki Koutsoukou-Argyraki

Published in: LIPIcs, Volume 268, 14th International Conference on Interactive Theorem Proving (ITP 2023)

Abstract

In this talk, I will present an overview of recent formalisations, in the interactive theorem prover Isabelle/HOL, of significant theorems in additive combinatorics, an area of combinatorial number theory. The formalisations of these theorems were the first in any proof assistant to my knowledge. For each of these theorems, I will discuss selected aspects of the formalisation process, focussing on observations on our treatment of certain mathematical arguments when translated into Isabelle/HOL and our overall formalisation experience with Isabelle/HOL for this area of mathematics.

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Angeliki Koutsoukou-Argyraki. Formalisation of Additive Combinatorics in Isabelle/HOL (Invited Talk). In 14th International Conference on Interactive Theorem Proving (ITP 2023). Leibniz International Proceedings in Informatics (LIPIcs), Volume 268, pp. 1:1-1:2, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2023)

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@InProceedings{koutsoukouargyraki:LIPIcs.ITP.2023.1,
  author =	{Koutsoukou-Argyraki, Angeliki},
  title =	{{Formalisation of Additive Combinatorics in Isabelle/HOL}},
  booktitle =	{14th International Conference on Interactive Theorem Proving (ITP 2023)},
  pages =	{1:1--1:2},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-284-6},
  ISSN =	{1868-8969},
  year =	{2023},
  volume =	{268},
  editor =	{Naumowicz, Adam and Thiemann, Ren\'{e}},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITP.2023.1},
  URN =		{urn:nbn:de:0030-drops-183760},
  doi =		{10.4230/LIPIcs.ITP.2023.1},
  annote =	{Keywords: Additive combinatorics, additive number theory, combinatorial number theory, formalisation of mathematics, interactive theorem proving, proof assistants, Isabelle/HOL}
}

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Formalisation of Additive Combinatorics in Isabelle/HOL (Invited Talk)

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