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Titlebook: Substructural Logics: A Primer; Francesco Paoli Book 2002 Springer Science+Business Media Dordrecht 2002 Algebraic structure.Cut-eliminati

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发表于 2025-3-21 16:07:21 | 显示全部楼层 |阅读模式
书目名称Substructural Logics: A Primer
编辑Francesco Paoli
视频video
概述Includes supplementary material:
丛书名称Trends in Logic
图书封面Titlebook: Substructural Logics: A Primer;  Francesco Paoli Book 2002 Springer Science+Business Media Dordrecht 2002 Algebraic structure.Cut-eliminati
描述Substructural logics are by now one of the most prominent branches of the research field usually labelled as "nonclassical logics" - and perhaps of logic .tout court.. Over the last few decades a vast amount of research papers and even some books have been devoted to this subject. The aim of the present book is to give a comprehensive account of the "state of the art" of substructural logics, focusing both on their proof theory (especially on sequent calculi and their generalizations) and on their semantics (both algebraic and relational)..Readership:. This textbook is designed for a wide readership: graduate students in either philosophy, mathematics, theoretical computer science or theoretical linguistics with no previous knowledge of the subject (except for a working knowledge of elementary logic) will be gradually introduced into the field starting from its basic foundations; specialists and researchers in the area will find an up-to-date survey of the most important current research topics and problems.
出版日期Book 2002
关键词Algebraic structure; Cut-elimination theorem; logic; proof; proof theory; semantics; sequent calculus
版次1
doihttps://doi.org/10.1007/978-94-017-3179-9
isbn_softcover978-90-481-6014-3
isbn_ebook978-94-017-3179-9Series ISSN 1572-6126 Series E-ISSN 2212-7313
issn_series 1572-6126
copyrightSpringer Science+Business Media Dordrecht 2002
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发表于 2025-3-21 23:15:51 | 显示全部楼层
The Role of Structural Rules in Sequent Calculizen where one or more of the structural rules (weakening, contraction, exchange, cut) are suitably restricted or even left out. We do not assume the reader to be familiar with the terminology of the preceding sentence, which will be subsequently explained in full detail — but if only she has some ac
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Cut Elimination and the Decision Problemer, we did not . the cut elimination theorem for any of the systems so far introduced. This will be exactly the task of the present chapter. For a start, we shall present Gentzen’s proof of the . for .; coming to know how such a proof works is essential also from our perspective, for it allows to ap
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Algebraic Structuresof algebraic structures which verify exactly the provable formulae of S. Thus, for example, it turns out that the algebraic counterpart of classical propositional logic are Boolean algebras, while intuitionistic propositional logic corresponds to Heyting algebras. As a rule, these correspondences pa
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Relational Semanticsanother standpoint one can assume about the semantic value of sentences. In fact, a true sentence like “Brutus killed Caesar” could have been false if Brutus had not killed Caesar; it is true in the light of what actually happened, but could have been false if human history had been different — in a
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Basic Proof Systems for Substructural Logics some extent, arbitrary. However, a delicate tradeoff is involved: this system must be neither too weak, for it would lack any intrinsic interest, nor too strong, since its extensions would be too limited in number.
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