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 Evgeni Latinov - OTexts
The notions of strict, logical necessity and possibility and problems connected with them are treated in the book with the resources of modal symbolic logic. In general a balance is struck between philosophical and technical treatment of the issues.
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 Gary Hardegree - UMass Amherst
Contents: Basic Concepts; Classical SL; Absolute Modal Logic - System L; Relative Modal Logic - System K; Systems Between K and L; Modal Predicate Logic; General First-Order Logic; First-Order Modal Logic; First-Order Modal Logic with Actuality...
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.