Description

• Title:
  Extensions of the basic constructive logic for weak consistency BKc1 defined with a falsity constant
• Creator:
  Robles, Gemma
• Description:
  The logic BKc1 is the basic constructive logic for weak consistency (i.e., absence of the negation of a theorem) in the ternary relational semantics without a set of designated points. In this paper, a number of extensions of B Kc1 defined with a propositional falsity constant are defined. It is also proved that weak consistency is not equivalent to negation-consistency or absolute consistency (i.e., non-triviality) in any logic included in positive contractionless intermediate logic LC plus the constructive negation of BKc1 and the (constructive) contraposition axioms.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2017 Logic and Logical Philosophy
• Date:
  2008.02.26
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion
• Language:
  English
• Source:
  Logic and Logical Philosophy; Vol. 16 No. 4 (2007); 311-322;
  Logic and Logical Philosophy; Tom 16 Nr 4 (2007); 311-322;
  2300-9802;
  1425-3305
• Format:
  application/pdf
• Publisher:
  Uniwersytet Mikołaja Kopernika w Toruniu
• Relation: https://apcz.umk.pl/LLP/article/view/LLP.2007.010/1476
• Subject:
  weak consistency;
  constructive falsity;
  ternary relational semantics;
  substructural logics;
  paraconsistent logics
• Identifier: https://apcz.umk.pl/LLP/article/view/LLP.2007.010
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  text