Download or read book Gentzen Calculi for Modal Propositional Logic written by Francesca Poggiolesi and published by Springer Science & Business Media. This book was released on 2010-11-19 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.