Logics of Time and Computation

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.

Summary

Sets out the basic theory of normal modal and temporal propositional logics; applies this theory to logics of discrete (integer), dense (rational), and continuous (real) time, to the temporal logic of henceforth, next, and until, and to the propositional dynamic logic of regular programs.

Product details

• Authors: Robert Goldblatt
• Publisher: Centre for the Study of Language & Information
• Languages: English
• Product format: Paperback / Softback
• Released: 30.06.1992
• EAN: 9780937073940
• ISBN: 978-0-937073-94-0
• No. of pages: 190
• Dimensions: 152 mm x 228 mm x 15 mm
• Weight: 339 g
• Series: Center for the Study of Language and Information Publication Lecture Notes; Center for the Study of Language and Information Publication Lecture Notes; Lecture Notes
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Basic principles; Non-fiction book > Philosophy, religion > Philosophy: general, reference works