PDL with Negation of Atomic Programs

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  • Carsten LutzCarsten Lutz
  • Dirk WaltherDirk Walther
• Nach ForschungsgruppeBy Research Group
  • AutomatentheorieAutomata Theory

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PDL with Negation of Atomic Programs

Carsten LutzCarsten Lutz,  Dirk WaltherDirk Walther

Datei:LutzWaltherJANCL05.ps.gz

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Carsten Lutz, Dirk Walther
PDL with Negation of Atomic Programs
Journal of Applied Non-Classical Logic, 15(2):189-214, 2005

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• KurzfassungAbstract
  Propositional dynamic logic (PDL) is one of the most successful variants of modal logic. To make it even more useful for applications, many extensions of PDL have been considered in the literature. A very natural and useful such extension is with negation of programs. Unfortunately, as long known, reasoning with the resulting logic is undecidable. In this paper, we consider the extension of PDL with negation of atomic programs, only. We argue that this logic is still useful, e.g. in the context of description logics, and prove that satisfiability is decidable and ExpTime-complete using an approach based on Buechi tree automata.
• Forschungsgruppe:Research Group: AutomatentheorieAutomata Theory

@article{ LutzWaltherJANCL05,
  author = {C. {Lutz} and D. {Walther}},
  journal = {Journal of Applied Non-Classical Logic},
  number = {2},
  pages = {189--214},
  title = {PDL with Negation of Atomic Programs},
  volume = {15},
  year = {2005},
}