Temporal logic: mathematical foundations

Abstract: "The following is a draft version of the first six chapters of a book which is attempting to supply a comprehensive coverage of the mathematical and computational aspects of temporal logic. The first chapter introduces temporal logic and gives a fairly detatiled [sic] preview of the i...

Ausführliche Beschreibung

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Bibliographische Detailangaben
1. Verfasser: Gabbay, Dov M. 1945- (VerfasserIn)
Format: Buch
Sprache:English
Veröffentlicht: Saarbrücken 1992
Schriftenreihe:Max-Planck-Institut für Informatik <Saarbrücken>: MPI I 92,213
Schlagworte:
Zusammenfassung:Abstract: "The following is a draft version of the first six chapters of a book which is attempting to supply a comprehensive coverage of the mathematical and computational aspects of temporal logic. The first chapter introduces temporal logic and gives a fairly detatiled [sic] preview of the issues which will be covered in the rest of the whole book. These include expressive power, fixed point temporal languages and applications in computing. Chapter 2 develops the basic idea of a language built from connectives whose semantics is appropriate to some class of underlying 'models' of time: for example linear or branching time. Chapter 3 introduces Hilbert style axiomatizations of such logics and contains some simple completeness proofs
The incomplete chapter 4 considers the generally incomplete predicate temporal languages and gives examples of some of the variety of choices of language here. In Chapter 5 we debate the merits of using classical first order logic to talk about temporal structures from the 'outside' instead of using temporal languages 'inside' the structure. We also consider the possibility of using temporal logic itself as a metalanguage. Finally, in chapter 6 we present a general theory of axiomatization of temporal logics. This examines and uses the irreflexivity rule of Gabbay to provide very general techniques.
Beschreibung:166 S.

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