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.
Innehållsförteckning
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.
Språk Engelska ● Formatera PDF ● Sidor 224 ● ISBN 9789048196708 ● Filstorlek 1.9 MB ● Utgivare Springer Netherland ● Stad Dordrecht ● Land NL ● Publicerad 2010 ● Nedladdningsbara 24 månader ● Valuta EUR ● ID 2221483 ● Kopieringsskydd Social DRM