Logics of Time and Computation - Brossura

Goldblatt, Robert

Brossura

ISBN 10: 0937073946 ISBN 13: 9780937073940

Casa editrice: Center for the Study of Language and Inf, 1992

Riassunto

"This is a short but excellent introduction to modal, temporal, and dynamic logic....It manages to cover, in highly readable style, the basic completeness, decidability, and expressability results in a variety of logics of the three kinds considered." -Rohit Parikh, reviewing the first edition in the Journal of Symbolic Logic. Now revised and significantly expanded, this textbook introduces modal logic and examines the relevance of modal systems for theoretical computer science. Golblatt sets out a basic theory of normal modal and temporal propositional logics, including issues such as completeness proofs, decidability, first-order defiability, 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 , anduntil; 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, intorducing a connective for the parallel execution of commands. A seperate section is devoted to the quantificational dynamic logic. Numerous excercises are included for use in the classroom. Robert Goldblatt is a professor of pure mathematics at the Victoria University of Wellington, New Zealand. Center for the Study of Language and Information- Lecture Notes, Number 7

Su questo libro

Descrizione del libro

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.

Contenuti

Preface to the first edition; Preface to the second edition; Part I. Propositional Modal Logic: 1. Syntax and semantics; 2. Proof theory; 3. Canonical models and completeness; 4. Filtrations and decidability; 5. Multimodal languages; 6. Temporal logic; 7. Some topics in metatheory; Part II. Some Temporal and Computational Logic: 8. Logics with linear frames; 9. Temporal logic of concurrency; 10. Propositional dynamic logic; Part III. First-Order Dynamic Logic: 11. Assignments, substitutions, and quantifiers; 12. Syntax and semantics; 13. Proof theory; 14. Canonical model and completeness; Bibliography; Index.

Dettagli dell?edizione

• Editore: Center for the Study of Language and Inf
• Data di pubblicazione: 1992
• ISBN 10: 0937073946
• ISBN 13: 9780937073940
• Rilegatura: Copertina flessibile
• Lingua: Inglese
• Numero edizione: 2
• Numero di pagine: 200