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@inproceedings{489732, author = {Černá, Ivana and Pelánek, Radek}, address = {Bratislava (Slovensko)}, booktitle = {Mathematical Foundations of Computer Science (MFCS 2003)}, keywords = {temporal logic; automata over infinite words; model checking}, language = {eng}, location = {Bratislava (Slovensko)}, isbn = {3-540-40671-9}, pages = {318-327}, publisher = {Springer-Verlag}, title = {Relating Hierarchy of Temporal Properties to Model Checking}, year = {2003} }
TY - JOUR ID - 489732 AU - Černá, Ivana - Pelánek, Radek PY - 2003 TI - Relating Hierarchy of Temporal Properties to Model Checking PB - Springer-Verlag CY - Bratislava (Slovensko) SN - 3540406719 KW - temporal logic KW - automata over infinite words KW - model checking N2 - The hierarchy of properties as overviewed by Manna and Pnueli relates language, topology, $\omega$-automata, and linear temporal logic classifications of properties. We provide new characterisations of this hierarchy in terms of automata with B\"uchi, co-B\"uchi, and Streett acceptance condition and in terms of Until-Release 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 ER -
ČERNÁ, Ivana and Radek PELÁNEK. Relating Hierarchy of Temporal Properties to Model Checking. In \textit{Mathematical Foundations of Computer Science (MFCS 2003)}. Bratislava (Slovensko): Springer-Verlag, 2003, p.~318-327. ISBN~3-540-40671-9.
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