Description

• Title:
  Proof theory of epistemic logic of programs
• Creator:
  Maffezioli, Paolo;
  Naibo, Alberto
• Description:
  A combination of epistemic logic and dynamic logic of programs is presented. Although rich enough to formalize some simple game-theoretic scenarios, its axiomatization is problematic as it leads to the paradoxical conclusion that agents are omniscient. A cut-free labelled Gentzen-style proof system is then introduced where knowledge and action, as well as their combinations, are formulated as rules of inference, rather than axioms. This provides a logical framework for reasoning about games in a modular and systematic way, and to give a step-by-step reconstruction of agents omniscience. In particular, its semantic assumptions are made explicit and a possible solution can be found in weakening the properties of the knowledge operator.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2017 Logic and Logical Philosophy
• Date:
  2013.09.12
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion
• Language:
  English
• Source:
  Logic and Logical Philosophy; Vol. 23 No. 3 (2014): September; 301–328;
  Logic and Logical Philosophy; Tom 23 Nr 3 (2014): September; 301–328;
  2300-9802;
  1425-3305
• Format:
  application/pdf
• Publisher:
  Uniwersytet Mikołaja Kopernika w Toruniu
• Relation: https://apcz.umk.pl/LLP/article/view/LLP.2013.026/1899
• Subject:
  epistemic logic;
  dynamic propositional logic;
  structural proof theory;
  labelled sequent calculus;
  epistemic paradox
• Identifier: https://apcz.umk.pl/LLP/article/view/LLP.2013.026
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  text