, Volume 165, Issue 2, pp 247–268 | Cite as

Modelling simultaneous games in dynamic logic

  • Johan van Benthem
  • Sujata GhoshEmail author
  • Fenrong Liu
Open Access


We make a proposal for formalizing simultaneous games at the abstraction level of player’s powers, combining ideas from dynamic logic of sequential games and concurrent dynamic logic. We prove completeness for a new system of ‘concurrent game logic’ CDGL with respect to finite non-determined games. We also show how this system raises new mathematical issues, and throws light on branching quantifiers and independence-friendly evaluation games for first-order logic.


Simultaneous games Parallelism Game logic Evaluation games IF logic Branching quantifiers 



The authors thank the anonymous referees for their helpful comments.

Open Access

This article is distributed under the terms of the Creative Commons Attribution Noncommercial License which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.


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Copyright information

© The Author(s) 2008

Authors and Affiliations

  • Johan van Benthem
    • 1
    • 2
  • Sujata Ghosh
    • 3
    • 4
    Email author
  • Fenrong Liu
    • 1
    • 5
  1. 1.Institute for Logic, Language and ComputationUniversity of AmsterdamAmsterdamThe Netherlands
  2. 2.Department of PhilosophyStanford UniversityStandordUSA
  3. 3.Department of MathematicsVisva-BharatiShantiniketanIndia
  4. 4.Center for Soft Computing ResearchIndian Statistical InstituteKolkataIndia
  5. 5.Department of Philosophy, School of Humanities and Social SciencesTsinghua UniversityBeijingChina

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