English

Two-Player Reachability-Price Games on Single-Clock Timed Automata

Computer Science and Game Theory 2011-07-07 v1 Data Structures and Algorithms

Abstract

We study two player reachability-price games on single-clock timed automata. The problem is as follows: given a state of the automaton, determine whether the first player can guarantee reaching one of the designated goal locations. If a goal location can be reached then we also want to compute the optimum price of doing so. Our contribution is twofold. First, we develop a theory of cost functions, which provide a comprehensive methodology for the analysis of this problem. This theory allows us to establish our second contribution, an EXPTIME algorithm for computing the optimum reachability price, which improves the existing 3EXPTIME upper bound.

Keywords

Cite

@article{arxiv.1107.1199,
  title  = {Two-Player Reachability-Price Games on Single-Clock Timed Automata},
  author = {Michal Rutkowski},
  journal= {arXiv preprint arXiv:1107.1199},
  year   = {2011}
}

Comments

In Proceedings QAPL 2011, arXiv:1107.0746

R2 v1 2026-06-21T18:33:04.865Z