Description

• Title:
  The lattice of Belnapian modal logics: Special extensions and counterparts
• Creator:
  Odintsov, Sergei P.;
  Speranski, Stanislav O.
• Description:
  Let K be the least normal modal logic and BK its Belnapian version, which enriches K with ‘strong negation’. We carry out a systematic study of the lattice of logics containing BK based on:• introducing the classes (or rather sublattices) of so-called explosive, complete and classical Belnapian modal logics;• assigning to every normal modal logic three special conservative extensions in these classes;• associating with every Belnapian modal logic its explosive, complete and classical counterparts.We investigate the relationships between special extensions and counterparts, provide certain handy characterisations and suggest a useful decomposition of the lattice of logics containing BK.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2017 Logic and Logical Philosophy
• Date:
  2016.02.25
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion
• Language:
  English
• Source:
  Logic and Logical Philosophy; Vol. 25 No. 1 (2016): March; 3-33;
  Logic and Logical Philosophy; Tom 25 Nr 1 (2016): marzec; 3-33;
  2300-9802;
  1425-3305
• Format:
  application/pdf
• Publisher:
  Uniwersytet Mikołaja Kopernika w Toruniu
• Relation: https://apcz.umk.pl/LLP/article/view/LLP.2016.002/7806
• Subject:
  algebraic logic;
  paraconsistent logic;
  many-valued modal logic;
  strong negation
• Identifier: https://apcz.umk.pl/LLP/article/view/LLP.2016.002
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  text