Table of contents

  1. Front Matter
  2. Pages 1-16
  3. Pages 17-33
  4. Pages 35-48
  5. Pages 97-99
  6. Back Matter

About this book


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.


Beschränkte Quantoren Deduction and Theorem Proving Deduktion und Beweisen Extension Knowledge Representation Logic Programming Logisches Programmieren Mathematical Logic Mathematische Logik Resolution Restricted Quantifiers Wissens-Darstellung calculus logic sets

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