Gentzen Calculi for Modal Propositional Logic

• Κύριος συγγραφέας: Poggiolesi, Francesca (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Dordrecht : Springer Netherlands, 2011.
• Σειρά: Trends in Logic ; 32
• Θέματα: Philosophy.; Computer graphics.; Mathematics.; Linguistics.; Philosophy, general.; Mathematics, general.; Computer Imaging, Vision, Pattern Recognition and Graphics.; Linguistics, general.
• Φυσική περιγραφή: XII, 224 p. online resource.
• ISBN: 9789048196708

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.  .