Description

• Title:
  On Béziau’s logic Z
• Creator:
  Omori, Hitoshi;
  Waragai, Toshiharu
• Description:
  In [1] Béziau developed the paraconsistent logic Z, which is definitionally equivalent to the modal logic S5 (cf. Remark 2.3), and gave an axiomatization of the logic Z: the system HZ. In the present paper, we prove that some axioms of HZ are not independent and then propose another axiomatization of Z. We also discuss a new perspective on the relation between S5 and classical propositional logic (CPL) with the help of the new axiomatization of Z. Then we conclude the paper by making a remark on the paraconsistency of HZ.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2017 Logic and Logical Philosophy
• Date:
  2009.03.15
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion
• Language:
  English
• Source:
  Logic and Logical Philosophy; Vol. 17 No. 4 (2008); 305-320;
  Logic and Logical Philosophy; Tom 17 Nr 4 (2008); 305-320;
  2300-9802;
  1425-3305
• Format:
  application/pdf
• Publisher:
  Uniwersytet Mikołaja Kopernika w Toruniu
• Relation: https://apcz.umk.pl/LLP/article/view/LLP.2008.017/1291
• Subject:
  paraconsistent logic Z;
  modal logic S5;
  classical propositional logic
• Identifier: https://apcz.umk.pl/LLP/article/view/LLP.2008.017
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  text