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Characterizing the Expressivity of Game Description Languages

  • Guifei JiangEmail author
  • Laurent Perrussel
  • Dongmo Zhang
  • Heng Zhang
  • Yuzhi Zhang
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11670)

Abstract

Bisimulations are a key notion to study the expressive power of a modal language. This paper studies the expressiveness of Game Description Language (GDL) and its epistemic extension EGDL through a bisimulations approach. We first define a notion of bisimulation for GDL and prove that it coincides with the indistinguishability of GDL-formulas. Based on it, we establish a characterization of the definability of GDL in terms of k-bisimulations. Then we define a novel notion of bisimulation for EGDL, and obtain a characterization of the expressive power of EGDL. In particular, we show that a special case of the bisimulation for EGDL can be used to characterize the expressivity of GDL. These characterizations not only justify the notions of bisimulation are appropriate for game description languages, but also provide a powerful tool to identify their expressive power.

Keywords

Bisimulation equivalence Expressive power Game description languages 

Notes

Acknowledgments

Guifei Jiang acknowledges the support of the National Natural Science Foundation of China (No. 61806102), the Fundamental Research Funds for the Central Universities, and the Major Program of the National Social Science Foundation of China (No. 17ZDA026). Laurent Perrussel acknowledges the support of the ANR project AGAPE ANR-18-CE23-0013.

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Guifei Jiang
    • 1
    Email author
  • Laurent Perrussel
    • 2
  • Dongmo Zhang
    • 3
  • Heng Zhang
    • 4
  • Yuzhi Zhang
    • 1
  1. 1.Nankai UniversityTianjinChina
  2. 2.University of ToulouseToulouseFrance
  3. 3.Western Sydney UniversityPenrithAustralia
  4. 4.Tianjin UniversityTianjinChina

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