Z-reachability Problem for Games on 2-dimensional Vector Addition Systems with States is in P
| Authors | |
|---|---|
| Year of publication | 2010 |
| Type | Article in Proceedings |
| Conference | Reachability Problems |
| MU Faculty or unit | |
| Citation | |
| Web | http://www.springerlink.com/content/w410q46u3g20qh84/ |
| Doi | http://dx.doi.org/10.1007/978-3-642-15349-5_7 |
| Field | Informatics |
| Keywords | vector addition system with states; infinite games; zero-reachability problem |
| Description | We consider a two-player infinite game with zero-reachability objectives played on a 2-dimensional vector addition system with states (VASS), the states of which are divided between the two players. Brázdil, Jančar, and Kučera (2010) have shown that for k > 0, deciding the winner in a game on k-dimensional VASS is in (k-1)-EXPTIME. In this paper, we show that, for k = 2, the problem is in P, and thus improve the EXPTIME upper bound. |
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