Abstract: "Temporal logic has been successfully used for modeling and analyzing the behavior of reactive and concurrent systems. Standard temporal logic is inadequate for real-time applications because it only deals with qualitative timing properties. This is overcome by metric temporal logics...

Ausführliche Beschreibung

Bibliographische Detailangaben

Hauptverfasser:	Montanari, Angelo (VerfasserIn), Rijke, Maarten de (VerfasserIn)
Format:	Buch
Sprache:	English
Veröffentlicht:	Amsterdam 1995
Schriftenreihe:	Centrum voor Wiskunde en Informatica <Amsterdam> / Department of Computer Science: Report CS 95,77
Schlagworte:	Formal languages Logic, Symbolic and mathematical Real-time data processing Time
Zusammenfassung:	Abstract: "Temporal logic has been successfully used for modeling and analyzing the behavior of reactive and concurrent systems. Standard temporal logic is inadequate for real-time applications because it only deals with qualitative timing properties. This is overcome by metric temporal logics which offer a uniform logical framework in which both qualitative and quantitative timing properties can be expressed by making use of a parameterized operator of relative temporal realization. In this paper we deal with completeness issues for basic systems of metric temporal logic -- despite their relevance, such issues have been ignored or only partially addressed in the literature. We view metric temporal logics as two-sorted formalisms having formulae ranging over time instants and parameters ranging over an (ordered) abelian group of temporal displacements. We first provide an axiomatization of the pure metric fragment of the logic, and prove its soundness and completeness. Then, we show how to obtain the metric temporal logic of linear orders by adding an ordering over displacements. Finally, we consider general metric temporal logics allowing quantification over algebraic variables and free mixing of algebraic formulae and temporal propositional symbols."
Beschreibung:	27 S.