Displaying Modal Logic / by Heinrich Wansing
(Trends in Logic, Studia Logica Library ; 3)
| データ種別 | 電子ブック |
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| 出版情報 | Dordrecht : Springer Netherlands : Imprint: Springer , 1998 |
| 本文言語 | 英語 |
| 大きさ | XI, 252 p : online resource |
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| 内容注記 | One / Introduction Two / Sequents Generalized Three / Display Logic Four / Properly Displayable Logics, Displayable Logics and Strong Cut-Elimination Five / A Proof-Theoretic Proof of Functional Completeness for Many Modal and Tense Logics Six / Modal Tableaux Based on Residuation Seven / Strong Cut-Elimination and Labelled Modal Tableaux Eight / Tarskian Structured Consequence Relations and Functional Completeness Nine / Constructive Negation and the Modal Logic of Consistency Ten / Displaying as Temporalizing Eleven / Translation of Hypersequents into Display Sequents Twelve / Predicate Logics on Display Thirteen / Appendix. |
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| 一般注記 | The present monograph is a slightly revised version of my Habilitations schrift Proof-theoretic Aspects of Intensional and Non-Classical Logics, successfully defended at Leipzig University, November 1997. It collects work on proof systems for modal and constructive logics I have done over the last few years. The main concern is display logic, a certain refinement of Gentzen's sequent calculus developed by Nuel D. Belnap. This book is far from offering a comprehensive presentation of generalized sequent systems for modal logics broadly conceived. The proof-theory of non-classical logics is a rapidly developing field, and even the generalizations of the ordinary notion of sequent listed in Chapter 1 can hardly be presented in great detail within a single volume. In addition to further investigating the various approaches toward generalized Gentzen systems, it is important to compare them and to discuss their relative advantages and disadvantages. An initial attempt at bringing together work on different kinds of proof systems for modal logics has been made in [188]. Another step in the same direction is [196]. Since Chapter 1 contains introductory considerations and, moreover, every remaining chapter begins with some surveying or summarizing remarks, in this preface I shall only emphasize a relation to philosophy that is important to me, register the sources of papers that have entered this book in some form or another, and acknowledge advice and support |
| 著者標目 | *Wansing, Heinrich author SpringerLink (Online service) |
| 件 名 | LCSH:Philosophy LCSH:Logic LCSH:Artificial intelligence LCSH:Mathematical logic FREE:Philosophy FREE:Logic FREE:Artificial Intelligence (incl. Robotics) FREE:Mathematical Logic and Foundations |
| 分 類 | DC23:160 |
| 巻冊次 | ISBN:9789401712804 
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| ISBN | 9789401712804 |
| URL | http://dx.doi.org/10.1007/978-94-017-1280-4 |
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