Logics of Time and Computation (Paperback, 2nd Revised edition)

Now revised and significantly expanded, this textbook introduces modal logic and examines the relevance of modal systems for theoretical computer science. Goldblatt sets out a basic theory of normal modal and temporal propositional logics, including issues such as completeness proofs, decidability, first-order definability, and canonicity. The basic theory is then applied to logics of discrete, dense, and continuous time; to the temporal logic of concurrent programs involving the connectives henceforth, next, and until; and to the dynamic logic of regular programs. New material for the second edition extends the temporal logic of concurrency to branching time, studying a system of Computational Tree Logic that formalizes reasoning about behavior. Dynamic logic is also extended to the case of concurrency, introducing a connective for the parallel execution of commands. A separate section is devoted to quantificational dynamic logic. Numerous exercises are included for use in the classroom.Robert Goldblatt is a professor of pure mathematics at the Victoria University of Wellington, New Zealand.