Dediu, Adrian-Horia; Inenaga, Shunsuke; Martín-Vide, Carlos
We consider two-player graph games whose objectives are request-response condition, i.e conjunctions of conditions of the form "if a state with property Rq is visited, then later a state with property Rp is visited". The winner of such games can be decided in EXPTIME and the problem is known to be NP-hard. In this paper, we close this gap by showing that this problem is, in fact, EXPTIME-complete. We show that the problem becomes PSPACE-complete if we only consider games played on DAGs, and NP-complete or PTIME-complete if there is only one player (depending on whether he wants to enforce or spoil the request-response condition). We also present near-optimal bounds on the memory needed to design winning strategies for each player, in each case.
227 - 237
LATA: Language and Automata Theory and Applications
2011-05-26 – 2011-05-31
Chatterjee K, Henzinger TA, Horn F. The complexity of request-response games. In: Dediu A-H, Inenaga S, Martín-Vide C, eds. Vol 6638. Springer; 2011:227-237. doi:10.1007/978-3-642-21254-3_17
Chatterjee, K., Henzinger, T. A., & Horn, F. (2011). The complexity of request-response games. In A.-H. Dediu, S. Inenaga, & C. Martín-Vide (Eds.) (Vol. 6638, pp. 227–237). Presented at the LATA: Language and Automata Theory and Applications, Tarragona, Spain: Springer. https://doi.org/10.1007/978-3-642-21254-3_17
Chatterjee, Krishnendu, Thomas A Henzinger, and Florian Horn. “The Complexity of Request-Response Games.” edited by Adrian-Horia Dediu, Shunsuke Inenaga, and Carlos Martín-Vide, 6638:227–37. Springer, 2011. https://doi.org/10.1007/978-3-642-21254-3_17.
K. Chatterjee, T. A. Henzinger, and F. Horn, “The complexity of request-response games,” presented at the LATA: Language and Automata Theory and Applications, Tarragona, Spain, 2011, vol. 6638, pp. 227–237.
Chatterjee K, Henzinger TA, Horn F. 2011. The complexity of request-response games. LATA: Language and Automata Theory and Applications, LNCS, vol. 6638, 227–237.
Chatterjee, Krishnendu, et al. The Complexity of Request-Response Games. Edited by Adrian-Horia Dediu et al., vol. 6638, Springer, 2011, pp. 227–37, doi:10.1007/978-3-642-21254-3_17.