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.
Table of Content
Part I An overview of the sequent calcus.- Part II, Sequent caluli for modal logic.- Part III, Tree-hyperseqent calculi.- Reference.- Symbols and notations.- Index.
Language English ● Format PDF ● Pages 224 ● ISBN 9789048196708 ● File size 1.9 MB ● Publisher Springer Netherland ● City Dordrecht ● Country NL ● Published 2010 ● Downloadable 24 months ● Currency EUR ● ID 2221483 ● Copy protection Social DRM