MPI-I-1999-3-005. August 1999, 31 pages. | Status: available - back from printing | Next --> Entry | Previous <-- Entry
Abstract in LaTeX format:
This paper presents a complete axiomatization of fully decidable
propositional real-time linear temporal logics with past: the Event
Clock Logic (\ECL) and the Metric Interval Temporal Logic with past
The completeness proof consists of an effective proof building procedure
>From this result we obtain a complete axiomatization of \MITL\ by
providing axioms translating $\MITL$ formulae into $\ECL$ formulae, the
two logics being equally expressive.
Our proof is structured to yield a similar axiomatization and procedure
for interesting fragments of these logics, such as the linear temporal
logic of the real numbers (\LTR).
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