by Tomáš Brázdil, Petr Jančar, Antonín Kučera, A full version of the paper presented at ICALP 2010. February 2010, 38 pages.
FIMU-RS-2010-02. Available as Postscript, PDF.
We consider two-player turn-based games with zero-reachability and zero-safety objectives generated by extended vector addition systems with states. Although the problem of deciding the winner in such games is undecidable in general, we identify several decidable and even tractable subcases of this problem obtained by restricting the number of counters and/or the sets of target configurations.