Quantification In Nonclassical Logic: Studies in Logic and the Foundations of Mathematics

Dov M. Gabbay, Dimitrij Skvortsov et Valentin Shehtman

ISBN 10: 0444520120 / ISBN 13: 9780444520128

Published by Elsevier Science Ltd, 2008

About this Item

Ancien livre de bibliothèque. Edition 2008. Tome 1. Ammareal reverse jusqu'à 15% du prix net de cet article à des organisations caritatives. ENGLISH DESCRIPTION Book Condition: Used, Very good. Former library book. Edition 2008. Volume 1. Ammareal gives back up to 15% of this item's net price to charity organizations.

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Bibliographic Details

• Title: Quantification In Nonclassical Logic: Studies in Logic and the Foundations of Mathematics
• Publisher: Elsevier Science Ltd
• Publication Date: 2008
• Language: English
• ISBN 10: 0444520120
• ISBN 13: 9780444520128
• Binding: Hardcover
• Condition: Très bon

About this title

Synopsis

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 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.

About the Author

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.