Quantification in Nonclassical Logic, Volume 153

Volume 153

By: Valentin Shehtman, Dimitrij Skvortsov, Dov M. Gabbay

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Hardcover | 9 June 2009 | Edition Number 153

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640 Pages

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23.5 x 15.88 x 3.18

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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.

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You Can Find This Book In

Non-Fiction Computing & I.T.Computer Science Mathematics Mathematical Foundation Mathematical Logic

Basic Propositional Logic
Basic Predicate Logic
Kripke Semantics
Algebraic Semantics
Metaframe Semantics
Kripke completeness for varying domains
Kripke completeness for constant domains
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Quantification in Nonclassical Logic, Volume 153

Volume 153

At a Glance

Hardcover

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How to return your order

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