A Gentzen system for involutive residuated lattices

Authored by

Annika M. Wille

Abstract

We establish a cut-free Gentzen system for involutive residuated lattices and provide an algebraic proof of completeness. As a result we conclude that the equational theory of involutive residuated lattices is decidable. The connection to noncommutative linear logic is outlined.

Details

External Organisation(s)
Technische Universität Darmstadt
Type
Article
Journal
Algebra universalis
Volume
54
Pages
449-463
No. of pages
15
ISSN
0002-5240
Publication date
12.2005
Publication status
Published
Peer reviewed
Yes
ASJC Scopus subject areas
Algebra and Number Theory
Electronic version(s)
https://doi.org/10.1007/s00012-005-1957-6 (Access: Unknown )
 

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