Quantification in nonclassical logic: 1
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam [u.a.]
Elsevier
2009
|
| Schriftenreihe: | Studies in logic and the foundations of mathematics
153 |
| Schlagworte: | |
| Online-Zugang: | FUBA1 Volltext |
| Beschreibung: | 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 Includes bibliographical references and indexes |
| Beschreibung: | 1 Online-Ressource (615 S.) |
| ISBN: | 9780080931128 008093112X |
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| 490 | 1 | |a Studies in logic and the foundations of mathematics |v 153 | |
| 490 | 0 | |a Studies in logic and the foundations of mathematics | |
| 500 | |a 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 | ||
| 500 | |a Includes bibliographical references and indexes | ||
| 650 | 7 | |a Nonclassical mathematical logic |2 fast | |
| 650 | 4 | |a Nonclassical mathematical logic | |
| 700 | 1 | |a Šechtman, Valentin B. |e Sonstige |0 (DE-588)1057736465 |4 oth | |
| 700 | 1 | |a Skvorcov, Dmitrij |e Sonstige |0 (DE-588)133720055 |4 oth | |
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Datensatz im Suchindex
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| author | Gabbay, Dov M. 1945- |
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| building | Verbundindex |
| bvnumber | BV042317189 |
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| dewey-full | 511.31 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.31 |
| dewey-search | 511.31 |
| dewey-sort | 3511.31 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV042317189 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:18:16Z |
| institution | BVB |
| isbn | 9780080931128 008093112X |
| language | English |
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| series | Studies in logic and the foundations of mathematics |
| series2 | Studies in logic and the foundations of mathematics |
| spelling | Gabbay, Dov M. 1945- Verfasser (DE-588)124196314 aut Quantification in nonclassical logic 1 D.M. Gabbay ; V.B. Shehtmann ; D.P. Skvortsov Amsterdam [u.a.] Elsevier 2009 1 Online-Ressource (615 S.) txt rdacontent c rdamedia cr rdacarrier Studies in logic and the foundations of mathematics 153 Studies in logic and the foundations of mathematics 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 Includes bibliographical references and indexes Nonclassical mathematical logic fast Nonclassical mathematical logic Šechtman, Valentin B. Sonstige (DE-588)1057736465 oth Skvorcov, Dmitrij Sonstige (DE-588)133720055 oth (DE-604)BV047419434 1 Erscheint auch als Druck-Ausgabe 978-0-44452012-8 Studies in logic and the foundations of mathematics 153 (DE-604)BV023066423 153 http://www.sciencedirect.com/science/book/9780444520128 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Gabbay, Dov M. 1945- Quantification in nonclassical logic Studies in logic and the foundations of mathematics Nonclassical mathematical logic fast Nonclassical mathematical logic |
| title | Quantification in nonclassical logic |
| title_auth | Quantification in nonclassical logic |
| title_exact_search | Quantification in nonclassical logic |
| title_full | Quantification in nonclassical logic 1 D.M. Gabbay ; V.B. Shehtmann ; D.P. Skvortsov |
| title_fullStr | Quantification in nonclassical logic 1 D.M. Gabbay ; V.B. Shehtmann ; D.P. Skvortsov |
| title_full_unstemmed | Quantification in nonclassical logic 1 D.M. Gabbay ; V.B. Shehtmann ; D.P. Skvortsov |
| title_short | Quantification in nonclassical logic |
| title_sort | quantification in nonclassical logic |
| topic | Nonclassical mathematical logic fast Nonclassical mathematical logic |
| topic_facet | Nonclassical mathematical logic |
| url | http://www.sciencedirect.com/science/book/9780444520128 |
| volume_link | (DE-604)BV047419434 (DE-604)BV023066423 |
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