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Titlebook: Gentzen Calculi for Modal Propositional Logic; Francesca Poggiolesi Book 2011 Springer Science+Business Media B.V. 2011 Gentzen calculus.c

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發(fā)表于 2025-3-21 18:08:58 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Gentzen Calculi for Modal Propositional Logic
編輯Francesca Poggiolesi
視頻videohttp://file.papertrans.cn/384/383002/383002.mp4
概述First book which gives an uniform and exhausitive presentation of both types of sequent calculus for modal logic, the purely syntactic sequent calculi as well as the semantic ones First book that give
叢書名稱Trends in Logic
圖書封面Titlebook: Gentzen Calculi for Modal Propositional Logic;  Francesca Poggiolesi Book 2011 Springer Science+Business Media B.V. 2011 Gentzen calculus.c
描述.The book is about Gentzen calculi for (the main systems of) modal logic. It is divided into three parts. In the first part?we introduce and discuss the main philosophical ideas related to proof theory, and we try to identify criteria for distinguishing good sequent calculi. In the second part we present ?the several attempts made from the 50’s until today to provide modal logic with Gentzen calculi. In the third and and final part we analyse new calculi for modal logics, called tree-hypersequent calculi, which were recently introduced by the author. We show in a precise and clear way the main results that can be proved with and about them..?.
出版日期Book 2011
關(guān)鍵詞Gentzen calculus; cut-elimination; modal logic; tree-hypersequent
版次1
doihttps://doi.org/10.1007/978-90-481-9670-8
isbn_softcover978-94-007-3442-5
isbn_ebook978-90-481-9670-8Series ISSN 1572-6126 Series E-ISSN 2212-7313
issn_series 1572-6126
copyrightSpringer Science+Business Media B.V. 2011
The information of publication is updating

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沙發(fā)
發(fā)表于 2025-3-21 21:39:47 | 只看該作者
Modal Logic and Ordinary Sequent Calculihapter we present the ordinary sequent calculi that have been developed for modal logic. It turns out that these calculi do not satisfy many of the properties of a good sequent calculus. In the last section we begin to consider how one might generalise the classical sequent calculus.
板凳
發(fā)表于 2025-3-22 02:55:20 | 只看該作者
地板
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發(fā)表于 2025-3-22 11:22:58 | 只看該作者
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發(fā)表于 2025-3-22 14:00:22 | 只看該作者
Semantic Adequacy and that they are cut-free. All the proofs were developed in a purely syntactic fashion. In this chapter we tackle the same issues from a semantic point of view, giving alternative (though less constructive) proofs. This operation can shed further light on the tree-hypersequent calculi.
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發(fā)表于 2025-3-22 17:08:53 | 只看該作者
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發(fā)表于 2025-3-22 22:58:18 | 只看該作者
Further Results on Tree-Hypersequent Calculihem. Specifically, in the first section, we will explore the link between tree-hypersequent calculi and display calculi. In this way we will supplement Table 5.4, p. 116. In the second section we will mention logics to which the tree-hypersequent method has been applied that are not modal logics. We
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發(fā)表于 2025-3-23 02:21:30 | 只看該作者
https://doi.org/10.1007/978-90-481-9670-8Gentzen calculus; cut-elimination; modal logic; tree-hypersequent
10#
發(fā)表于 2025-3-23 08:30:31 | 只看該作者
Francesca PoggiolesiFirst book which gives an uniform and exhausitive presentation of both types of sequent calculus for modal logic, the purely syntactic sequent calculi as well as the semantic ones First book that give
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