Z-reachability problem for games on 2-dimensional vector addition systems with states is in P

  • Authors:
  • Jakub Chaloupka

  • Affiliations:
  • Faculty of Informatics, Masaryk University, Brno, Czech Republic

  • Venue:
  • RP'10 Proceedings of the 4th international conference on Reachability problems
  • Year:
  • 2010

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Abstract

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.