Formalising New Mathematics in Isabelle: Diagonal Ramsey

Fuente: arXiv
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Main Author: Paulson, Lawrence C
Format: Preprint
Published: 2025
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_version_ 1866913655910563840
author Paulson, Lawrence C
author_facet Paulson, Lawrence C
contents The formalisation of mathematics is starting to become routine, but the value of this technology to the work of mathematicians remains to be shown. There are few examples of using proof assistants to verify brand-new work. This paper reports the formalisation of a major new result (arXiv:2303.09521) about Ramsey numbers that was announced in 2023. One unexpected finding was the heavy need for computer algebra techniques.
format Preprint
id arxiv_https___arxiv_org_abs_2501_10852
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Formalising New Mathematics in Isabelle: Diagonal Ramsey
Paulson, Lawrence C
Logic in Computer Science
Combinatorics
05D10, 03B35, 68V15, 68V20
The formalisation of mathematics is starting to become routine, but the value of this technology to the work of mathematicians remains to be shown. There are few examples of using proof assistants to verify brand-new work. This paper reports the formalisation of a major new result (arXiv:2303.09521) about Ramsey numbers that was announced in 2023. One unexpected finding was the heavy need for computer algebra techniques.
title Formalising New Mathematics in Isabelle: Diagonal Ramsey
topic Logic in Computer Science
Combinatorics
05D10, 03B35, 68V15, 68V20
url https://arxiv.org/abs/2501.10852