Gentzen Calculi for Modal Propositional Logic |
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| Series title: | Trends in Logic Ser. |
| ISBN: | 978-1-282-99673-1 |
| Publication Date: | Mar 2011 |
| Publisher: | Springer
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| Book Format: | Ebook |
| List Price: | USD $278.00 |
Book Description:
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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 50s until today to provide modal logic with Gentzen calculi. In the third and and final part we analyse new calculi for modal logics, called...
More DescriptionThe 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 50s 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.