Relating Hierarchy of Temporal Properties to Model Checking

  • Ivana Černá
  • Radek Pelánek
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2747)


The hierarchy of properties as overviewed by Manna and Pnueli [18] relates language, topology, ω-automata, and linear temporal logic classifications of properties. We provide new characterisations of this hierarchy in terms of automata with Büchi, co-Büchi, and Streett acceptance condition and in terms of \(\Sigma^\mathit{LTL}_i\) and \(\Pi^\mathit{LTL}_i\) hierarchies. Afterwards, we analyse the complexity of the model checking problem for particular classes of the hierarchy and thanks to the new characterisations we identify those linear time temporal properties for which the model checking problem can be solved more efficiently than in the general case.


Model Check Transition Function Temporal Property Linear Temporal Logic Safety Property 
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 2003

Authors and Affiliations

  • Ivana Černá
    • 1
  • Radek Pelánek
    • 1
  1. 1.Department of Computer Science, Faculty of InformaticsMasaryk University BrnoCzech Republic

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