Gentzen Calculi for Modal Propositional Logic

Francesca Poggiolesi

ISBN 10: 9400734425 / ISBN 13: 9789400734425

Editore: Springer Netherlands, Springer Netherlands Jan 2013, 2013

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Neuware -The book is about Gentzen calculi for (the main systems of) modal logic. It is divided into three parts. In the first partwe 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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 236 pp. Englisch.

Codice articolo 9789400734425

Dati bibliografici

• Titolo: Gentzen Calculi for Modal Propositional Logic
• Editore: Springer Netherlands, Springer Netherlands Jan 2013
• Data di pubblicazione: 2013
• Lingua: Inglese
• ISBN 10: 9400734425
• ISBN 13: 9789400734425
• Rilegatura: Taschenbuch
• Condizione: Neu

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Riassunto

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.