English

Coinduction: an elementary approach

Logic in Computer Science 2019-05-24 v8

Abstract

The main aim of this paper is to promote a certain style of doing coinductive proofs, similar to inductive proofs as commonly done by mathematicians. For this purpose, we provide a reasonably direct justification for coinductive proofs written in this style, i.e., converting a coinductive proof into a non-coinductive argument is purely a matter of routine. In this way, we provide an elementary explanation of how to interpret coinduction in set theory.

Keywords

Cite

@article{arxiv.1501.04354,
  title  = {Coinduction: an elementary approach},
  author = {Łukasz Czajka},
  journal= {arXiv preprint arXiv:1501.04354},
  year   = {2019}
}

Comments

Parts of this paper appear in arXiv:1808.05481

R2 v1 2026-06-22T08:05:09.492Z