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A Resolution Principle for a Logic with Restricted Quantifiers

Medium: Buch
ISBN: 978-3-540-55034-1
Verlag: Springer Berlin Heidelberg
Erscheinungstermin: 11.12.1991
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This monograph presents foundations for a constrained
logic scheme treating constraints as a very general form of
restricted quantifiers. The constraints - or quantifier
restrictions - are taken from a general constraint system
consisting of constraint theory and a set of distinguished
constraints.
The book provides a calculus for this constrained logic
based on a generalization of Robinson's resolution
principle. Technically, the unification procedure of the
resolution rule is replaced by suitable constraint-solving
methods. The calculus is proven sound and complete for the
refutation of sets of constrained clauses. Using a new and
elegant generalization of the notion ofa ground instance,
the proof technique is a straightforward adaptation of the
classical proof technique.
The author demonstrates that the constrained logic scheme
can be instantiated by well-known sorted logics or
equational theories and also by extensions of predicate
logics with general equational constraints or concept
description languages.


Produkteigenschaften


  • Artikelnummer: 9783540550341
  • Medium: Buch
  • ISBN: 978-3-540-55034-1
  • Verlag: Springer Berlin Heidelberg
  • Erscheinungstermin: 11.12.1991
  • Sprache(n): Englisch
  • Auflage: 1991
  • Serie: Lecture Notes in Computer Science
  • Produktform: Kartoniert
  • Gewicht: 213 g
  • Seiten: 120
  • Format (B x H x T): 155 x 235 x 8 mm
  • Ausgabetyp: Kein, Unbekannt
Autoren/Hrsg.

Autoren

Preliminaries.- Unification.- A logic with restricted quantifiers.- Equational constraint theories.- Conclusion.