Description

• Title:
  Three-element non-finitely axiomatizable matrices and term-equivalence
• Creator:
  Pałasińska, Katarzyna
• Description:
  It was shown in [5] that all two-element matrices are finitely based independently of their classification by term equivalence (the Post classification). In particular, each 2-valued matrix is finitely axiomatizable. We show below that for certain two not finitely axiomatizable 3-valued matrices this property is also preserved under term equivalence. The general problem, whether finite axiomatizability of a finite matrix is preserved under term-equivalence, is still open, as well as the related problem as to whether the consequence operation of a finite matrix is finitely based.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2017 Logic and Logical Philosophy
• Date:
  2014.04.30
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion
• Language:
  English
• Source:
  Logic and Logical Philosophy; Vol. 23 No. 4 (2014): December; 481-497;
  Logic and Logical Philosophy; Tom 23 Nr 4 (2014): December; 481-497;
  2300-9802;
  1425-3305
• Format:
  application/pdf
• Publisher:
  Uniwersytet Mikołaja Kopernika w Toruniu
• Relation: https://apcz.umk.pl/LLP/article/view/LLP.2014.010/3391
• Subject:
  matrix;
  term-equivalence;
  finite axiomatizaton
• Identifier: https://apcz.umk.pl/LLP/article/view/LLP.2014.010
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  text