Article
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Density Elimination for Semilinear Substructural Logics
Version 1
: Received: 16 February 2019 / Approved: 18 February 2019 / Online: 18 February 2019 (10:44:53 CET)
A peer-reviewed article of this Preprint also exists.
Wang, S. A Proof of the Standard Completeness for the Involutive Uninorm Logic. Symmetry 2019, 11, 445. Wang, S. A Proof of the Standard Completeness for the Involutive Uninorm Logic. Symmetry 2019, 11, 445.
Abstract
We present a uniform method of density elimination for several semilinear substructural logics. Especially, the density elimination for the involutive uninorm logic IUL is proved. Then the standard completeness of IUL follows as a lemma by virtue of previous work by Metcalfe and Montagna.
Keywords
Density elimination; Involutive uninorm logic; Standard completeness of IUL; Semilinear substructural logics; Fuzzy logic
Subject
Computer Science and Mathematics, Logic
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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