Temporal Logic: Volume 1

• 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.