00000cmm a22000004a 4500 UP-99796217611212334 Buklod 20250203164444.0 m go j cr |nu|||auu|a 250203s2011 ne o j | eng d 9789048196708 (eBook) 9048196701 (eBook) (iLib)UPD-00215704095 DMLR rda eng DMLUC QA 9.46 P64 2011eb Poggiolesi, Francesca. 1980- author. Gentzen calculi for modal propositional logic [electronic resource] Francesca Poggiolesi. Dordrecht, Netherlands Springer Dordrecht c2011. 1 online resource (xi, 222 pages) text rdacontent computer rdamedia online resource rdacarrier Trends in logic Volume 32. PartI An overview of the sequent calcus -- PartII, Sequent caluli for modal logic -- Part III, Tree-hyperseqent calculi -- Reference -- Symbols and notations -- Index. IP-based subscription, access limited to within on-campus computer network. Access via Electronic Resources of the UPD University Library Website. 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 Electronic reproduction. New York SpringerLink 2011. Available via World Wide Web through SpringerLink Modality (Logic) SpringerLink (Online service). Electronic Resource Available for UP System via SpringerLink. https://doi.org/10.1007/978-90-481-9670-8 FO UPD DMLR QA 9.46 P64 2011eb Electronic Resource