Gentzen Calculi for Modal Propositional Logic

Nonfiction, Computers, Advanced Computing, Engineering, Computer Vision, Science & Nature, Mathematics, Religion & Spirituality, Philosophy
Cover of the book Gentzen Calculi for Modal Propositional Logic by Francesca Poggiolesi, Springer Netherlands
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Author: Francesca Poggiolesi ISBN: 9789048196708
Publisher: Springer Netherlands Publication: November 19, 2010
Imprint: Springer Language: English
Author: Francesca Poggiolesi
ISBN: 9789048196708
Publisher: Springer Netherlands
Publication: November 19, 2010
Imprint: Springer
Language: English

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.

 

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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 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.

 

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