Visibly Linear Temporal Logic

  • Laura Bozzelli
  • César Sánchez
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8562)


We introduce a robust and tractable temporal logic, we call Visibly Linear Temporal Logic (VLTL), which captures the full class of Visibly Pushdown Languages. The novel logic avoids fix points and provides instead natural temporal operators with simple and intuitive semantics. We prove that the complexities of the satisfiability and visibly pushdown model checking problems are the same as for other well known logics, like CaReT and the nested word temporal logic NWTL, which in contrast are strictly more limited in expressive power than VLTL. Moreover, formulas of CaReT and NWTL can be easily and inductively translated in linear-time into VLTL.


Model Check Temporal Logic Regular Expression Main State Linear Temporal Logic 
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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • Laura Bozzelli
    • 1
  • César Sánchez
    • 2
    • 3
  1. 1.Technical University of Madrid (UPM)MadridSpain
  2. 2.IMDEA Software InstituteMadridSpain
  3. 3.Institute for Information SecurityCSICSpain

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