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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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发表于 2025-3-21 18:08:58 | 显示全部楼层 |阅读模式
书目名称Gentzen Calculi for Modal Propositional Logic
编辑Francesca Poggiolesi
视频video
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
丛书名称Trends in Logic
图书封面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
关键词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
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发表于 2025-3-21 21:39:47 | 显示全部楼层
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.
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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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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
发表于 2025-3-23 02:21:30 | 显示全部楼层
https://doi.org/10.1007/978-90-481-9670-8Gentzen calculus; cut-elimination; modal logic; tree-hypersequent
发表于 2025-3-23 08:30:31 | 显示全部楼层
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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