Items related to Logic for Applications
Synopsis
This is a rigorous introduction to classical and nonclassical logic, 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 the 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 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 pursued.
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From the Back Cover
This textbook provides a first introduction to mathematical logic which is closely attuned to the applications of logic in computer science. In it the authors emphasize the notion that deduction is a form of computation. While all the traditional subjects of logic are covered thoroughly - syntax, semantics, completeness, and compactness - much of the book deals with less traditional topics such as resolution theorem proving, logic programming, and non-classical logics - modal and intuitionistic - which are becoming increasingly important in computer science. The book also provides a systematic treatment of the elements of set theory, a historical overview of its subjects, and an extensive annotated bibliography. No previous exposure to logic is assumed, and so this will be suitable for upper level undergraduate or beginning graduate students in computer science or mathematics.
About the Author
Anil Nerode is Professor and Director of the Mathematical Sciences Institute at Cornell University.
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- PublisherSpringer
- Publication date2012
- ISBN 10 1468402129
- ISBN 13 9781468402124
- BindingPaperback
- LanguageEnglish
- Number of pages392
- Rating
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