| Quantification in Nonclassical Logic: Volume 153 Contributor(s): Gabbay, Dov M. (Author), Skvortsov, Dimitrij (Author), Shehtman, Valentin (Author) |
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ISBN: 0444520120 ISBN-13: 9780444520128 Publisher: Elsevier Science OUR PRICE: $207.90 Product Type: Hardcover Published: July 2009 |
| Additional Information |
| BISAC Categories: - Mathematics | Logic - Computers | Information Theory |
| Dewey: 511.31 |
| Series: Studies in Logic and the Foundations of Mathematics |
| Physical Information: 1.3" H x 6.1" W x 9" (2.55 lbs) 640 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: Quantification and modalities have always been topics of great interest for logicians. These two themes emerged from philosophy and language in ancient times; they were studied by traditional informal methods until the 20th century. In the last century the tools became highly mathematical, and both modal logic and quantification found numerous applications in Computer Science. At the same time many other kinds of nonclassical logics were investigated and applied to Computer Science. Although there exist several good books in propositional modal logics, this book is the first detailed monograph in nonclassical first-order quantification. It includes results obtained during the past thirty years. The field is very large, so we confine ourselves with only two kinds of logics: modal and superintuitionistic. The main emphasis of Volume 1 is model-theoretic, and it concentrates on descriptions of different sound semantics and completeness problem --- even for these seemingly simple questions we have our hands full. The major part of the presented material has never been published before. Some results are very recent, and for other results we either give new proofs or first proofs in full detail. |