|Abstract of Paper|
Relating Hierarchy of Temporal Properties to Model Checking
by Ivana Cerna and Radek Pelanek
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.