MPI-I-1999-3-005

Axioms for real-time logics

Henzinger, Thomas A. and Raskin, Jean-Francois and Schobbens, Pierre-Yves

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
(\MITL).
The completeness proof consists of an effective proof building procedure
for \ECL.
>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).
Acknowledgement:
References to related material:

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BibTeX
@TECHREPORT{HenzingerRaskinSchobbens99, AUTHOR = {Henzinger, Thomas A. and Raskin, Jean-Francois and Schobbens, Pierre-Yves}, TITLE = {Axioms for real-time logics}, TYPE = {Research Report}, INSTITUTION = {Max-Planck-Institut f{\"u}r Informatik}, ADDRESS = {Stuhlsatzenhausweg 85, 66123 Saarbr{\"u}cken, Germany}, NUMBER = {MPI-I-1999-3-005}, MONTH = {August}, YEAR = {1999}, ISSN = {0946-011X},}