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Titlebook: Displaying Modal Logic; Heinrich Wansing Book 1998 Springer Science+Business Media Dordrecht 1998 Cut-elimination theorem.Extension.logic.

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书目名称Displaying Modal Logic
编辑Heinrich Wansing
视频video
丛书名称Trends in Logic
图书封面Titlebook: Displaying Modal Logic;  Heinrich Wansing Book 1998 Springer Science+Business Media Dordrecht 1998 Cut-elimination theorem.Extension.logic.
描述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
出版日期Book 1998
关键词Cut-elimination theorem; Extension; logic; modal logic; nonmonotonic reasoning; predicate logic; proof; sem
版次1
doihttps://doi.org/10.1007/978-94-017-1280-4
isbn_softcover978-90-481-5079-3
isbn_ebook978-94-017-1280-4Series ISSN 1572-6126 Series E-ISSN 2212-7313
issn_series 1572-6126
copyrightSpringer Science+Business Media Dordrecht 1998
The information of publication is updating

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Strong Cut-Elimination and Labelled Modal Tableaux,. Moreover, for . the accessibility relation between labels may be universal and hence neglected. In contrast to labelled tableaux, the modal tableau systems of, for example, Rautenberg [137] and Goré [74] do not use labelled formulas. For a general survey on tableau methods for modal and tense logi
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Translation of Hypersequents into Display Sequents,ructure than an ordinary sequent, it is not . more complicated, and goes in fact just one step further”. The translation of hypersequents into display sequents illuminates how display sequents generalize ordinary sequents still further than hypersequents. In contradistinction to the application of h
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Appendix,Moreover, we shall show that . may have repercussions on the axiomatic presentation of logical systems and define an apparently new axiomatization of .. Eventually, we shall consider a generalization of ., namely four-place display sequents. We shall redisplay Nelson’s system . and obtain a display
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https://doi.org/10.1007/978-1-349-13869-2. Moreover, for . the accessibility relation between labels may be universal and hence neglected. In contrast to labelled tableaux, the modal tableau systems of, for example, Rautenberg [137] and Goré [74] do not use labelled formulas. For a general survey on tableau methods for modal and tense logi
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