PSPACE Automata with Blocking for Description Logics

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PSPACE Automata with Blocking for Description Logics

Franz BaaderFranz Baader,  J. HladikJ. Hladik,  R. PenalozaR. Penaloza
Franz Baader, J. Hladik, R. Penaloza
PSPACE Automata with Blocking for Description Logics
Technical Report, Chair for Automata Theory, Institute for Theoretical Computer Science, Dresden University of Technology, volume LTCS-06-04, 2006. LTCS-Report
  • KurzfassungAbstract
    In Description Logics (DLs), both tableau-based and automata-based algorithms are frequently used to show decidability and complexity results for basic inference problems such as satisfiability of concepts. Whereas tableau-based algorithms usually yield worst-case optimal algorithms in the case of PSPACE-complete logics, it is often very hard to design optimal tableau-based algorithms for EXPTIME-complete DLs. In contrast, the automata-based approach is usually well-suited to prove EXPTIME upper-bounds, but its direct application will usually also yield an EXPTIME-algorithm for a PSPACE-complete logic since the (tree) automaton constructed for a given concept is usually exponentially large. In the present paper, we formulate conditions under which an on-the-fly construction of such an exponentially large automaton can be used to obtain a PSPACE-algorithm. We illustrate the usefulness of this approach by proving a new PSPACE upper-bound for satisfiability of concepts w.r.t. acyclic terminologies in the DL SI, which extends the basic DL ALC with transitive and inverse roles.
  • Bemerkung: Note: See http://lat.inf.tu-dresden.de/research/reports.html.
  • Forschungsgruppe:Research Group: AutomatentheorieAutomata Theory
@techreport{ BaaHlaPen-LTCS-06,
  address = {Germany},
  author = {F. {Baader} and J. {Hladik} and R. {Penaloza}},
  institution = {Chair for Automata Theory, Institute for Theoretical Computer Science, Dresden University of Technology},
  note = {See http://lat.inf.tu-dresden.de/research/reports.html.},
  number = {LTCS-06-04},
  title = {{PSPACE} Automata with Blocking for Description Logics},
  type = {LTCS-Report},
  year = {2006},
}