Computational space efficiency and minimal model generation for guarded formulae

L. Georgieva, Ullrich Hustadt, R.A. Schmidt

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

This paper describes a number of hyperresolution-based decision procedures for a subfragment of the guarded fragment. We first present a polynomial space decision procedure of optimal worst-case space and time complexity for the fragment under consideration. We then consider minimal model generation procedures which construct all and only minimal Herbrand models for guarded formulae. These procedures are based on hyperresolution, (complement) splitting and either model constraint propagation or local minimality tests. All the procedures have concrete application domains and are relevant for multi-modal and description logics that can be embedded into the considered fragment.
Original languageEnglish
Title of host publicationLogic for Programming, Artificial Intelligence, and Reasoning
Subtitle of host publication8th International Conference, LPAR 2001, Havana, Cuba, December 3-7, 2001, Proceedings
EditorsRobert Nieuwenhuis, Andrei Voronkov
Place of PublicationHeidelberg
PublisherSpringer Berlin
Pages85-99
Number of pages15
ISBN (Electronic)9783540456537
ISBN (Print)9783540429579
Publication statusPublished - 21 Nov 2001

Publication series

NameLecture Notes in Computer Science
PublisherSpringer
Volume2250

Keywords

  • Modal Logic
  • Decision Procedure
  • Description Logic
  • Predicate Symbol
  • Model Constraint

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