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 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 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 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 Mai Gehrke, Yde Venema - ESSLLI
Apart from giving a general introduction to the fundamental ideas and methods of applying algebra in logic, the purpose of this text is to present recent developments from algebra as well as modal logic, in an integrated format.