| Description |
1 online resource : illustrations |
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text txt rdacontent |
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computer c rdamedia |
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online resource cr rdacarrier |
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text file |
| Series |
Studies in logic and the foundations of mathematics, 0049-237X ; v. 153 |
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Studies in logic and the foundations of mathematics ; v. 153.
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| Summary |
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. |
| Bibliography |
Includes bibliographical references and indexes. |
| Contents |
1.) Basic Propositional Logic -- 2.) Basic Predicate Logic -- 3.) Kripke Semantics -- 4.) Algebraic Semantics -- 5.) Metaframe Semantics -- 6.) Kripke completeness for varying domains -- 7.) Kripke completeness for constant domains. |
| Note |
Print version record. |
| Subject |
Nonclassical mathematical logic.
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Logique mathématique non classique.
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Nonclassical mathematical logic.
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Nonclassical mathematical logic
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| Added Author |
Shehtman, V. B. (Valentin B.)
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Skvortsov, D. P. (Dmitrij P.)
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| Other Form: |
Print version: Gabbay, Dov M., 1945- Quantification in nonclassical logic. 1st ed. Amsterdam ; London : Elsevier, 2009- 0444520120 (OCoLC)421777274 |
| ISBN |
9780080931128 (v. 1 ; ebook) |
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008093112X (v. 1 ; ebook) |
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9780444520128 (v. 1) |
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0444520120 (v. 1) |
| Standard No. |
AU@ 000047500106 |
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AU@ 000062569113 |
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CDX 10638639 |
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CHNEW 001009244 |
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DEBBG BV042317189 |
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DEBSZ 405325126 |
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DEBSZ 48236856X |
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NZ1 15192365 |
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