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＜電子ブック＞
Displaying Modal Logic / by Heinrich Wansing
(Trends in Logic, Studia Logica Library. ISSN:22127313 ; 3)

版	1st ed. 1998.
出版者	(Dordrecht : Springer Netherlands : Imprint: Springer)
出版年	1998
本文言語	英語
大きさ	XI, 252 p : online resource
著者標目	*Wansing, Heinrich author SpringerLink (Online service)
件　名	LCSH:Logic LCSH:Artificial intelligence LCSH:Mathematical logic FREE:Logic FREE:Artificial Intelligence FREE:Mathematical Logic and Foundations
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/978-94-017-1280-4

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