Irrationality and Transcendence Criteria for Infinite Series in Isabelle/HOL
Logic in Computer Science
2022-10-14 v2 Logic
Abstract
We give an overview of our formalizations in the proof assistant Isabelle/HOL of certain irrationality and transcendence criteria for infinite series from three different research papers: by Erd\H{o}s and Straus (1974), Han\v{c}l (2002), and Han\v{c}l and Rucki (2005). Our formalizations in Isabelle/HOL can be found on the Archive of Formal Proofs. Here we describe selected aspects of the formalization and discuss what this reveals about the use and potential of Isabelle/HOL in formalizing modern mathematical research, particularly in these parts of number theory and analysis.
Keywords
Cite
@article{arxiv.2101.05257,
title = {Irrationality and Transcendence Criteria for Infinite Series in Isabelle/HOL},
author = {Angeliki Koutsoukou-Argyraki and Wenda Li and Lawrence C. Paulson},
journal= {arXiv preprint arXiv:2101.05257},
year = {2022}
}
Comments
23 pages. Submitted for publication