Irrationality and Transcendence Criteria for Infinite Series in Isabelle/HOL [article]

Angeliki Koutsoukou-Argyraki, Wenda Li, Lawrence C. Paulson
2021 arXiv   pre-print
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 Erdős and Straus (1974), Hančl (2002), and Hančl 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
more » ... al research, particularly in these parts of number theory and analysis.
arXiv:2101.05257v2 fatcat:ozo6fkwhc5aujaxynmy4a2ztjy