Description

• Title:
  Meet-Combination of Consequence Systems
• Creator:
  Gouveia, Paula;
  Rasga, João;
  Sernadas, Cristina
• Description:
  We extend meet-combination of logics for capturing the consequences that are common to both logics. With this purpose in mind we define meet-combination of consequence systems. This notion has the advantage of accommodating different ways of presenting the semantics and the deductive calculi. We consider consequence systems generated by a matrix semantics and consequence systems generated by Hilbert calculi. The meet-combination of consequence systems generated by matrix semantics is the consequence system generated by their product. On the other hand, the meet-combination of consequence systems generated by Hilbert calculi is the consequence system generated by their interconnection. We investigate preservation of several properties. Capitalizing on these results we show that interconnection provides an axiomatization for the product. Illustrations are given for intuitionistic and modal logics, Łukasiewicz logic and some paraconsistent logics.
• Object availability:
  free access
• Rights: https://creativecommons.org/licenses/by-nd/4.0 ;
  Prawa autorskie (c) 2024 Paula Gouveia, João Rasga, Cristina Sernadas
• Date:
  2024.05.29
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion
• Language:
  English
• Source:
  Logic and Logical Philosophy; Vol. 34 No. 1 (2025): March; 73-108;
  Logic and Logical Philosophy; Tom 34 Nr 1 (2025): Marzec; 73-108;
  2300-9802;
  1425-3305
• Format:
  application/pdf
• Publisher:
  Uniwersytet Mikołaja Kopernika w Toruniu
• Relation: https://apcz.umk.pl/LLP/article/view/43965/38632
• Subject:
  combination of logics;
  meet-combination;
  consequence systems;
  product of matrix semantics
• Identifier: https://apcz.umk.pl/LLP/article/view/43965
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  text