International Workshop on Logic, Rationality and Interaction

Logic, Rationality, and Interaction pp 14-26 | Cite as

Game Theoretical Semantics for Paraconsistent Logics

Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9394)

Abstract

Game theoretical semantics suggests a very intuitive approach to formal semantics. The semantic verification game for classical logic is played by two players, verifier and falsifier who we call Heloise and Abelard respectively. The goal of Heloise in the game is to verify the truth of a given formula in a given model whereas for Abelard it is to falsify it. The rules are specified syntactically based on the form of the formula. During the game, the given formula is broken into subformulas step by step by the players. The game terminates when it reaches the propositional literals and when there is no move to make.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  1. 1.Department of Computer ScienceUniversity of BathBathEngland

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