VSL 2014: VIENNA SUMMER OF LOGIC 2014

A Coinductive Confluence Proof for Infinitary Lambda-Calculus.

Author: Łukasz Czajka

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Title:A Coinductive Confluence Proof for Infinitary Lambda-Calculus.
Authors:Łukasz Czajka
Proceedings:RTA-TLCA 2014 LNCS Proceedings
Editor: Gilles Dowek
Keywords:confluence, infinitary lambda-calculus, coinduction, infinitary rewriting
Abstract:

ABSTRACT. We give a coinductive proof of confluence, up to equivalence of root-active subterms, of infinitary lambda-calculus. We also show confluence of Böhm reduction (with respect to root-active terms) in infinitary lambda-calculus. In contrast to previous proofs, our proof makes heavy use of coinduction and does not employ the notion of descendants.

Pages:15
Talk:Jul 14 16:30
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