Abstract
In this paper we study complexity of the model-checking problem for probabilistic pushdown automata (pPDA) and qualitative fragments of two branching-time logics PCTL* and PECTL*. We prove tha this problem is in 2-EXPTIME for pPDA and qualitative PCTL*. Consequently, we prove that model-checking of stateless pPDA (pBPA) and both qualitative PCTL* and qualitative PECTL* is 2-EXPTIME-hard. These results combined with results of several other papers give us that the model-checking problem for pPDA (and also for pBPA) and both qualitative PCTL* and qualitative PECTL* is 2-EXPTIME-complete. Finally, we survey known results on model-checking of pPDA and branching-time logics.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
