This graduate-level text offers a theoretical treatment of the fundamental concepts and methods of automated deduction. In a presentation of first-order resolution theorem proving that also covers resolution in order-sorted first-order logic, this book provides a self-contained account suitable for students coming to the subject for the first time.
Both Gentzen-style sequent calculi and the refutation method known as resolution are treated in detail. Various strategies for pruning resolution search spaces - such as linear, hyper- and ordered resolution - are also covered. Numerous examples are presented to illustrate the concepts discussed. Students will find this a readily accessible introduction to the subject.
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Contents: Mathematical Preliminaries.- Syntax of first-order languages.- Semantics of first-order languages.- The Gentzen calculus G. Normal Forms and Herbrand's Theorem.- Resolution and unification.- Improved Deduction efficiency.- Resolution in sorted logic.
Book by SocherAmbrosius Rolf Johann Patricia
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