Overview
- 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 gives a complete and accurate description of the tree-hypersequent method One of the few books which are mainly based on logical results, but that are also accompanied by philosophical discussion
Part of the book series: Trends in Logic (TREN, volume 32)
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Table of contents (11 chapters)
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Front Matter
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An Overview of the Sequent Calculus
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Front Matter
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An overview of the sequent calculus
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Sequent Calculi for Modal Logic
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Front Matter
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Tree-Hypersequent Calculi
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Front Matter
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Back Matter
Keywords
About this book
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.
Reviews
From the reviews:
“This book is mainly devoted to an extensive presentation of the author’s original formalisation of modal logics called tree-hypersequent calculus but other approaches are also discussed at length. … This book is a valuable contribution to the subject of proof techniques for modal logics. The presentation is clear with a detailed but readable account of technical details.” (Andrzej B. Indrzejczak, Mathematical Reviews, August, 2013)Authors and Affiliations
Bibliographic Information
Book Title: Gentzen Calculi for Modal Propositional Logic
Authors: Francesca Poggiolesi
Series Title: Trends in Logic
DOI: https://doi.org/10.1007/978-90-481-9670-8
Publisher: Springer Dordrecht
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media B.V. 2011
Hardcover ISBN: 978-90-481-9669-2Published: 02 December 2010
Softcover ISBN: 978-94-007-3442-5Published: 27 January 2013
eBook ISBN: 978-90-481-9670-8Published: 19 November 2010
Series ISSN: 1572-6126
Series E-ISSN: 2212-7313
Edition Number: 1
Number of Pages: XII, 224
Topics: Philosophy, general, Mathematics, general, Computer Imaging, Vision, Pattern Recognition and Graphics, Linguistics, general