Algebraic Tools for Modal Logic
by Mai Gehrke, Yde Venema
Publisher: ESSLLI 2001
Number of pages: 109
Apart from giving a general introduction to the fundamental ideas and methods of applying algebra in logic, the purpose of the course is to present recent developments from algebra as well as modal logic, in an integrated format. Our intention is to illuminate and generalize existing results concerning the issues of completeness, canonicity and correspondence for Kripke style semantics for modal and generalized modal logics.
Home page url
Download or read it online for free here:
by Alexander Kurz - ESSLLI
One of the achievements of the theory of coalgebras is to make clear that some seemingly different areas are related by duality. This text explains this duality. Recent research lead to the insight that modal logic is dual to equational logic.
by Patrick Blackburn, Johan van Benthem, Frank Wolter
This Handbook documents the current state of modal logic, a lively area of logical research which was born in philosophy, but which has since made its way into mathematics, linguistics, computer science, AI, and even economic game theory.
by Robert Goldblatt - CSLI Publications
Modal logic is the study of modalities - expressions that qualify assertions about the truth of statements. This volume collects the author's papers on modal logic, beginning with his work on the duality between algebraic and set-theoretic modals.
by Edward N. Zalta - Stanford University
This is a text for dedicated undergraduates with no previous experience in modal logic. The book should prepare people for reading advanced texts in modal logic, such as Goldblatt, Chellas, Hughes and Cresswell, and van Benthem.