Games and Bisimulations for Intuitionistic First-Order Kripke Models

Abstract

The aim of this paper is to introduce the notion of a game for intuitionistic first-order Kripke models. We also establish links between notions presented here and the notions of logical equivalence and bounded bisimulation for intuitionistic first-order Kripke models, and the Ehrenfeucht–Fraïssé game for classical first-order structures.

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Acknowledgements

I wish to thank Tomasz Połacik and Janusz Czelakowski for inspiration and helpful discussions over this topic.

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Correspondence to Małgorzata Kruszelnicka.

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Presented by Heinrich Wansing; Received November 8, 2019.

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Kruszelnicka, M. Games and Bisimulations for Intuitionistic First-Order Kripke Models. Stud Logica (2021). https://doi.org/10.1007/s11225-020-09932-z

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Keywords

  • Intuitionistic first-order logic
  • Kripke model
  • Game
  • Winning strategy
  • Ehrenfeucht–Fraïssé game