English

A new coinductive confluence proof for infinitary lambda calculus

Logic in Computer Science 2023-06-22 v4

Abstract

We present a new and formal coinductive proof of confluence and normalisation of B\"ohm reduction in infinitary lambda calculus. The proof is simpler than previous proofs of this result. The technique of the proof is new, i.e., it is not merely a coinductive reformulation of any earlier proofs. We formalised the proof in the Coq proof assistant.

Keywords

Cite

@article{arxiv.1808.05481,
  title  = {A new coinductive confluence proof for infinitary lambda calculus},
  author = {Łukasz Czajka},
  journal= {arXiv preprint arXiv:1808.05481},
  year   = {2023}
}

Comments

arXiv admin note: text overlap with arXiv:1501.04354

R2 v1 2026-06-23T03:35:47.784Z