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Stable model checking for disjunctive logic programs

  • N. Leone
  • P. Rullo
  • F. Scarcello
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1154)

Abstract

The stable model semantics is the most widely acknowledged semantics for disjunctive logic programs.

The paper investigates computational aspects related to the stable model semantics of (function-free) disjunctive logic programs. In particular, an efficient algorithm for solving the (co-NP-hard decision) problem of checking if a model is stable is provided. The correctness of the proposed method is formally proven, and its computational complexity is analyzed. In general, the algorithm runs in polynomial space and single exponential time (in the worst case). However, the algorithm runs in polynomial time on the class of head-cycle free programs and, in case of general disjunctive logic programs, it limits the inefficient part of the computation only to the components of the program which are not head-cycle free. Some optimization techniques are also employed to reduce the amount of computation to be performed in practice.

Keywords

Logic Program Stable Model Dependency Graph Ground Atom Naive Algorithm 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1996

Authors and Affiliations

  • N. Leone
    • 1
  • P. Rullo
    • 2
  • F. Scarcello
    • 3
  1. 1.Information Systems Dep.Technical University of ViennaViennaAustria
  2. 2.DIMETUniversità di Reggio CalabriaReggio CalabriaItaly
  3. 3.DEISUniversità della CalabriaRendeItaly

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