Playing with Repetitions in Data Words Using Energy Games

Abstract : We introduce two-player games which build words over infinite alphabets, and we study the problem of checking the existence of winning strategies. These games are played by two players, who take turns in choosing valuations for variables ranging over an infinite data domain, thus generating multi-attributed data words. The winner of the game is specified by formulas in the Logic of Repeating Values, which can reason about repetitions of data values in infinite data words. We prove that it is undecidable to check if one of the players has a winning strategy, even in very restrictive settings. However, we prove that if one of the players is restricted to choose valuations ranging over the Boolean domain, the games are effectively equivalent to single-sided games on vector addition systems with states (in which one of the players can change control states but cannot change counter values), known to be decidable and effectively equivalent to energy games. Previous works have shown that the satisfiability problem for various variants of the logic of repeating values is equivalent to the reachability and coverability problems in vector addition systems. Our results raise this connection to the level of games, augmenting further the associations between logics on data words and counter systems.
Type de document :
Communication dans un congrès
Annual ACM/IEEE Symposium on Logic in Computer Science (LICS), Jul 2018, Oxford, United Kingdom. 2018
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https://hal.archives-ouvertes.fr/hal-01715125
Contributeur : Diego Figueira <>
Soumis le : jeudi 22 février 2018 - 13:43:17
Dernière modification le : jeudi 24 mai 2018 - 10:54:03

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  • HAL Id : hal-01715125, version 1
  • ARXIV : 1802.07435

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Diego Figueira, M. Praveen. Playing with Repetitions in Data Words Using Energy Games. Annual ACM/IEEE Symposium on Logic in Computer Science (LICS), Jul 2018, Oxford, United Kingdom. 2018. 〈hal-01715125〉

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