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Axioms for real-time logics

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

August 1999, 31 pages.

Status: available - back from printing

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).

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  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},