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  Axioms for real-time logics

Henzinger, T. A., Raskin, J.-F., & Schobbens, P.-Y.(1999). Axioms for real-time logics (MPI-I-1999-3-005). Saarbrücken: Max-Planck-Institut für Informatik.

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MPI-I-1999-3-005.pdf (Any fulltext), 380KB
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Henzinger, Thomas A.1, Author
Raskin, Jean-Francois1, Author
Schobbens, Pierre-Yves1, Author
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1Reaktive und Hybride Systeme, ou_40045              

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 Abstract: 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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Language(s): eng - English
 Dates: 1999
 Publication Status: Issued
 Pages: 31 p.
 Publishing info: Saarbrücken : Max-Planck-Institut für Informatik
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 Identifiers: Report Nr.: MPI-I-1999-3-005
BibTex Citekey: HenzingerRaskinSchobbens99
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Title: Research Report / Max-Planck-Institut für Informatik
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