A hierarchy of temporal logics with past

Extended abstract
  • F. Laroussinie
  • Ph. Schnoebelen
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 775)


We extend the classical hierarchy of branching-time temporal logics between UB and CTL* by studying which additional expressive power (if any) stems from the incorporation of past-time modalities. In addition, we propose a new temporal combinator, N for “Now”, that brings new and interesting expressive power. In several situations, non-trivial translation algorithms exist from a temporal logic with past to a pure-future fragment. These algorithms have important practical applications e.g. in the field of model-checking.


Modal Logic Temporal Logic Expressive Power Classical Hierarchy Kripke Structure 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 1994

Authors and Affiliations

  • F. Laroussinie
    • 1
  • Ph. Schnoebelen
    • 1
  1. 1.LIFIA-IMAGGrenoble CedexFrance

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