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Logic for applications / Anil Nerode and Richard A. Shore.

By: Nerode, Anil.
Contributor(s): Shore, Richard A.
Material type: TextTextSeries: Texts and monographs in computer science.Publisher: New York : Springer-Verlag, c1993Description: xvii, 365 p. : ill. ; 24 cm.ISBN: 0387941290 (New York : acidfree paper).Subject(s): Computer science | Logic design | Artificial intelligenceDDC classification: 005.1015113
Contents:
Chapter I: Propositional Logic -- Chapter II: Predicate Logic -- Chapter III: PROLOG -- Chapter IV: Modal Logic -- Chapter V: Intuitionistic Logic -- Appendix A: An Historical Overview -- Appendix B: A Geneological Database-- Bibliography-- Indexes.
Summary: This book is a rigorous introduction to classical and nonclassical logics which emphasizes deduction as a form of computation. It can be used to teach classical, modal, and intuitistic predicate logic. It also presents the logical and mathematical foundations for resolution theorem proving and Logic Programming. A distinctive feature of this book is its uniform mathematical treatment of logic, based on the tableau method of classical logic, which includes soundness, completeness, compactness, incompleteness, and the theorems of Herb Rand and Skolem-L Wenheim. The same uniform treatment is used for important areas of application in computer science and artificial intelligence. These include resolution theorem proving, Logic Programming and Prolog, Predicate Intuitionistic Logic, and Predicate Modal Logic. There is also an historical appendix and an extensive list of selected references so that both the background and more advanced developments of these subjects can be understood and pursued. This text is appropriate for upper level undergraduate and beginning graduate students.
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Item type Current location Call number Status Date due Barcode Item holds
Books Books ISI Library, Kolkata
 
005.1015113 N451 (Browse shelf) Available C26357
Total holds: 0

Includes bibliographical references (p. 329-354) and indexes.

Chapter I: Propositional Logic --
Chapter II: Predicate Logic --
Chapter III: PROLOG --
Chapter IV: Modal Logic --
Chapter V: Intuitionistic Logic --
Appendix A: An Historical Overview --
Appendix B: A Geneological Database--
Bibliography--
Indexes.

This book is a rigorous introduction to classical and nonclassical logics which emphasizes deduction as a form of computation. It can be used to teach classical, modal, and intuitistic predicate logic. It also presents the logical and mathematical foundations for resolution theorem proving and Logic Programming. A distinctive feature of this book is its uniform mathematical treatment of logic, based on the tableau method of classical logic, which includes soundness, completeness, compactness, incompleteness, and the theorems of Herb Rand and Skolem-L Wenheim. The same uniform treatment is used for important areas of application in computer science and artificial intelligence. These include resolution theorem proving, Logic Programming and Prolog, Predicate Intuitionistic Logic, and Predicate Modal Logic. There is also an historical appendix and an extensive list of selected references so that both the background and more advanced developments of these subjects can be understood and pursued. This text is appropriate for upper level undergraduate and beginning graduate students.

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