Mathematics of Modality
by Robert Goldblatt
Publisher: CSLI Publications 1993
Number of pages: 288
Modal logic is the study of modalities - expressions that qualify assertions about the truth of statements. This volume collects together a number of the author's papers on modal logic, beginning with his work on the duality between algebraic and set-theoretic modals, and including two new articles, one on infinitary rules of inference, and the other about recent results on the relationship between modal logic and first-order logic.
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 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 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.
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.