2011•Zurich Open Repository and Archive (University of Zurich)Open access

Dialogue Games in Classical Logic

Jesse Alama, Aleks Knoks, Sara L. Uckelman

Open full text 3 citations

Abstract

We define a class of dialogue games and prove that existence of winning strategies for the Proponent in this class of games corresponds to validity in classical propositional logic. Many authors have stated similar results without actually proving the correspondence. We modify the games used for intuitionistic logic given by Fermüller [3]. We employ standard dialogue games and a standard sequent calculus for classical logic. The result is a simple correspondence between dialogue games and classical logic.

Open-access reader

About this research paper

What this paper is about

We define a class of dialogue games and prove that existence of winning strategies for the Proponent in this class of games corresponds to validity in classical propositional logic. Many authors have stated similar results without actually proving the correspondence. We modify the games used for intuitionistic logic given by Fermüller [3]. We employ standard dialogue games and a standard sequent calculus for classical logic. The result is a simple correspondence between dialogue games and classical logic.

Why it matters

OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

We define a class of dialogue games and prove that existence of winning strategies for the Proponent in this class of games corresponds to validity in classical propositional logic. Many authors have stated similar results without actually proving the correspondence. We modify the games used for intuitionistic logic given by Fermüller [3]. We employ standard dialogue games and a standard sequent calculus for classical logic. The result is a simple correspondence between dialogue games and classical logic.

Key concepts: Sequent, Propositional calculus, Classical logic, Zeroth-order logic, Class (philosophy), Mathematics, Simple (philosophy), Calculus (dental)

Related papers

Back to paper searchBrowse research topicsOriginal source
Dialogue Games in Classical Logic — Research Paper | ScholarLens