Logic for Applications (Paperback, Softcover reprint of the original 2nd ed. 1997)

In writing this book, our goal was to produce a text suitable for a first course in mathematical logic more attuned than the traditional textbooks to the re cent dramatic growth in the applications oflogic to computer science. Thus, our choice oftopics has been heavily influenced by such applications. Of course, we cover the basic traditional topics: syntax, semantics, soundnes5, completeness and compactness as well as a few more advanced results such as the theorems of Skolem-Lowenheim and Herbrand. Much ofour book, however, deals with other less traditional topics. Resolution theorem proving plays a major role in our treatment of logic especially in its application to Logic Programming and PRO LOG. We deal extensively with the mathematical foundations ofall three ofthese subjects. In addition, we include two chapters on nonclassical logics - modal and intuitionistic - that are becoming increasingly important in computer sci ence. We develop the basic material on the syntax and semantics (via Kripke frames) for each of these logics. In both cases, our approach to formal proofs, soundness and completeness uses modifications of the same tableau method in troduced for classical logic. We indicate how it can easily be adapted to various other special types of modal logics. A number of more advanced topics (includ ing nonmonotonic logic) are also briefly introduced both in the nonclassical logic chapters and in the material on Logic Programming and PROLOG.

General

Imprint:	Springer-Verlag New York
Country of origin:	United States
Series:	Texts in Computer Science
Release date:	September 2012
First published:	1997
Authors:	Anil Nerode • Richard A. Shore
Dimensions:	235 x 155 x 24mm (L x W x T)
Format:	Paperback
Pages:	456
Edition:	Softcover reprint of the original 2nd ed. 1997
ISBN-13:	978-1-4612-6855-0
Categories:	Books > Computing & IT > General theory of computing > Mathematical theory of computation Books > Computing & IT > General theory of computing > Systems analysis & design Books > Computing & IT > Computer programming > General Books > Science & Mathematics > Mathematics > Mathematical foundations > General Books > Computing & IT > Applications of computing > Artificial intelligence > General
LSN:	1-4612-6855-9
Barcode:	9781461268550

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