This paper presents a complete axiomatization of two decidable propositional real-time linear temporal logics: Event Clock Logic (EventClockTL) and Metric Interval Temporal Logic with past (MetricIntervalTL). The completeness proof consists of an effective proof building procedure for EventClockTL. From this result we obtain a complete axiomatization of MetricIntervalTL by providing axioms translating MITL formulae into EventClockTL formulae, the two logics being equally expressive. Our proof is structured to yield axiomatizations also for interesting fragments of these logics, such as the linear temporal logic of the real numbers (LTR).
Title
Axioms for Real-Time Logics
Published
1999-11-09
Full Collection Name
Electrical Engineering & Computer Sciences Technical Reports
Other Identifiers
CSD-99-1076
Type
Text
Extent
37 p
Archive
The Engineering Library
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