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Solution Complexity of Local Variants of Sabotage Game

  • Tianwei ZhangEmail author
Conference paper
  • 8 Downloads
Part of the Logic in Asia: Studia Logica Library book series (LIAA)

Abstract

The study of graph games serves as a way to analyze an existing logic, as well as an inspiration for designing new logics. Given the fact that game-theoretic analysis is reviving in AI study, a new stress in the study of graph games should be the performance of standard algorithmic tasks that are conducted on graphs. In this paper, we carry out a case study on the respective graph game for three main local variants of sabotage modal logic, which have a broad range of applications in various other fields. We analyze the solution complexity for each game and show the implications these results have on their corresponding logic. This work is a first attempt to understand why similar-looking variants of a graph game and their corresponding logics can have drastically different computational complexities, with the goal to bring up a more general topic that requires further studies, namely to identify the parameters of games and logic that crucially affect complexity.

Notes

Acknowledgements

This research is supported by Tsinghua University Initiative Scientific Research Program (2017THZWYX08). I wish to thank Johan van Benthem for his invaluable advice throughout the development of this project. I also wish to thank my parents and several teachers and friends, whose company has given me the courage to discover and create, and has made this journey meaningful.

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Copyright information

© Springer Nature Singapore Pte Ltd. 2020

Authors and Affiliations

  1. 1.Tsinghua University-University of Amsterdam Joint Research Center for Logic, ILLC, University of AmsterdamAmsterdamThe Netherlands

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