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Quantification in Nonclassical Logic
- 1st Edition, Volume 153 - June 9, 2009
- Authors: Dov M. Gabbay, Dimitrij Skvortsov, Valentin Shehtman
- Language: English
- Paperback ISBN:9 7 8 - 0 - 4 4 4 - 5 6 2 2 9 - 6
- Hardback ISBN:9 7 8 - 0 - 4 4 4 - 5 2 0 1 2 - 8
- eBook ISBN:9 7 8 - 0 - 0 8 - 0 9 3 1 1 2 - 8
Quantification and modalities have always been topics of great interest for logicians. These two themes emerged from philosophy andlanguage in ancient times; they were studied by… Read more
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Request a sales quoteQuantification and modalities have always been topics of great interest for logicians. These two themes emerged from philosophy andlanguage in ancient times; they were studied by traditional informalmethods until the 20th century. In the last century the tools becamehighly 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.
Graduate students working in Symbolic logic, with a focus in first-order logic, modal logic, intuitionistic logic, model theory, completeness, possible worlds semantics
- No. of pages: 640
- Language: English
- Edition: 1
- Volume: 153
- Published: June 9, 2009
- Imprint: Elsevier Science
- Paperback ISBN: 9780444562296
- Hardback ISBN: 9780444520128
- eBook ISBN: 9780080931128
DG
Dov M. Gabbay
Dov M. Gabbay is Augustus De Morgan Professor Emeritus of Logic at the Group of Logic, Language and Computation, Department of Computer Science, King's College London. He has authored over four hundred and fifty research papers and over thirty research monographs. He is editor of several international Journals, and many reference works and Handbooks of Logic.
Affiliations and expertise
Augustus De Morgan Professor Emeritus of Logic at the Group of Logic, Language and Computation, Department of Computer Science, King's College London.DS
Dimitrij Skvortsov
Affiliations and expertise
Department of Computer Science, King's College London, UKVS
Valentin Shehtman
Affiliations and expertise
Department of Computer Science, King's College London, UKRead Quantification in Nonclassical Logic on ScienceDirect