Temporal Logic: Volume 1

Inbunden, Engelska, 1994

AvDov M. Gabbay,Ian Hodkinson,Mark Reynolds

6 199 kr

Beställningsvara. Skickas inom 7-10 vardagar. Fri frakt för medlemmar vid köp för minst 249 kr.

This long awaited book gives a thorough account of the mathematical foundations of Temporal Logic, one of the most important areas of logic in computer science.The book, which consists of fifteen chapters, moves on from giving a solid introduction in semantical and axiomatic approaches to temporal logic to covering the central topics of predicate temporal logic, meta-languages, general theories of axiomatization, many dimensional systems, propositional quantifiers, expressive power, Henkin dimension, temporalization of other logics, and decidability results.Much of the research presented here is frontline in the new results and in the unifying methodology. This is an indispensable reference work for both the pure logician and the theoretical computer scientist.

Produktinformation

Utgivningsdatum1994-07-21
Mått160 x 242 x 38 mm
Vikt1 162 g
FormatInbunden
SpråkEngelska
SerieOxford Logic Guides
Antal sidor668
FörlagClarendon Press
ISBN9780198537694

Tillhör följande kategorier

Systemvetenskap och AI inom Data och IT
Matematikens grunder inom Naturvetenskap och teknik
Artificiell intelligens inom Data och IT

1. The handling of time: introduction and survey ; 2. Semantical presentation of temporal connectives ; 3. Axiomatic presentation of propositional temporal connectives ; 4. Predicate temporal logics ; 5. Temporal logics presented in the predicate calculus: language-metalanguage ; 6. A general theory of axiomatization for propositional temporal logic ; 7. Basic many-dimensional systems ; 8. Propositional quantifiers and fixed point operators ; 9. Expressive power of one-dimensional temporal connectives: basic concepts ; 10. Expressive completeness of Since and Until over integer and real time ; 11. Expressive completeness of Stavi connectives over general linear time ; 12. Further expressive completeness results ; 13. H-dimension ; 14. Adding a temporal dimension to a logic system ; 15. Decidability in temporal logic ; Bibliography ; Notation Index ; Index of Systems ; Index

The book presents some fundamental theorems which help to prove or disprove the expressiveness completeness of a temporal logic. Although the book is focused mainly on the authors' research, the breadth of their research allows them to cover a lot of interesting material ... a very comprehensive study of temporal logics, their expressiveness and axiomatization ... it is very thorough and presents the subjects of its focus in great depth. It can point practitioners of this field to existing results and thus is recommended as a good research reference.