Technical Reports

The report FIMU-RS-2003-03

Relating Hierarchy of Linear Temporal Properties to Model Checking

by Ivana Èerná, Radek Pelánek, April 2003, 18 pages.

FIMU-RS-2003-03. Available as Postscript, PDF.

Abstract:

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 Buchi, co-Buchi, and Streett acceptance condition and in terms of Until-Release alternation hierarchy. Afterwards, we analyse the complex ity 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.