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  • We study the regularity of sets of winning configurations in countable-state stochastic games played on transition graphs of pushdown automata (PDA games) with reachability objectives. Our main result is proving the regularity of the sets of winning configurations for qualitative reachability objectives. This completes the classification partially given in a previous paper on this topic. We also improve the upper bounds on the regular representation in cases already solved. We further mention a problem which has also been studied recently: determining the \emph{value} of a reachability game. Using our methods we prove the regularity of the set of configurations with value 1 and 0. Our work is related to recent results for stochastic games on countable graphs and sheds more light on some open problems in this area.
  • We study the regularity of sets of winning configurations in countable-state stochastic games played on transition graphs of pushdown automata (PDA games) with reachability objectives. Our main result is proving the regularity of the sets of winning configurations for qualitative reachability objectives. This completes the classification partially given in a previous paper on this topic. We also improve the upper bounds on the regular representation in cases already solved. We further mention a problem which has also been studied recently: determining the \emph{value} of a reachability game. Using our methods we prove the regularity of the set of configurations with value 1 and 0. Our work is related to recent results for stochastic games on countable graphs and sheds more light on some open problems in this area. (en)
Title
  • Regularity in PDA Games Revisited
  • Regularity in PDA Games Revisited (en)
skos:prefLabel
  • Regularity in PDA Games Revisited
  • Regularity in PDA Games Revisited (en)
skos:notation
  • RIV/00216224:14330/08:00026782!RIV10-MSM-14330___
http://linked.open...avai/riv/aktivita
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  • P(1M0545), Z(MSM0021622419)
http://linked.open...vai/riv/dodaniDat
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  • 392050
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  • RIV/00216224:14330/08:00026782
http://linked.open...riv/jazykVysledku
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  • regular languages; probabilistic pushdown games; reachability (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [75EF34179014]
http://linked.open...v/mistoKonaniAkce
  • Znojmo
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  • Brno
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  • MEMICS 2008 proceedings
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http://linked.open...vavai/riv/projekt
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  • Brožek, Václav
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
http://linked.open...n/vavai/riv/zamer
number of pages
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  • L. Matyska, D. Antoš, M. Češka, Z. Kotásek, T. Vojnar, M. Křetínský (Eds.)
https://schema.org/isbn
  • 978-80-7355-082-0
http://localhost/t...ganizacniJednotka
  • 14330
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