Termination criteria for solving concurrent safety and reachability games

K. Chatterjee, L. De Alfaro, T.A. Henzinger, in:, SIAM, 2009, pp. 197–206.

Download
OA 212.37 KB

Conference Paper | Published
Abstract
We consider concurrent games played on graphs. At every round of a game, each player simultaneously and independently selects a move; the moves jointly determine the transition to a successor state. Two basic objectives are the safety objective to stay forever in a given set of states, and its dual, the reachability objective to reach a given set of states. We present in this paper a strategy improvement algorithm for computing the value of a concurrent safety game, that is, the maximal probability with which player 1 can enforce the safety objective. The algorithm yields a sequence of player-1 strategies which ensure probabilities of winning that converge monotonically to the value of the safety game. Our result is significant because the strategy improvement algorithm provides, for the first time, a way to approximate the value of a concurrent safety game from below. Since a value iteration algorithm, or a strategy improvement algorithm for reachability games, can be used to approximate the same value from above, the combination of both algorithms yields a method for computing a converging sequence of upper and lower bounds for the values of concurrent reachability and safety games. Previous methods could approximate the values of these games only from one direction, and as no rates of convergence are known, they did not provide a practical way to solve these games.
Publishing Year
Date Published
2009-01-01
Page
197 - 206
Conference
SODA: Symposium on Discrete Algorithms
IST-REx-ID

Cite this

Chatterjee K, De Alfaro L, Henzinger TA. Termination criteria for solving concurrent safety and reachability games. In: SIAM; 2009:197-206. doi:10.1137/1.9781611973068.23
Chatterjee, K., De Alfaro, L., & Henzinger, T. A. (2009). Termination criteria for solving concurrent safety and reachability games (pp. 197–206). Presented at the SODA: Symposium on Discrete Algorithms, SIAM. https://doi.org/10.1137/1.9781611973068.23
Chatterjee, Krishnendu, Luca De Alfaro, and Thomas A Henzinger. “Termination Criteria for Solving Concurrent Safety and Reachability Games,” 197–206. SIAM, 2009. https://doi.org/10.1137/1.9781611973068.23.
K. Chatterjee, L. De Alfaro, and T. A. Henzinger, “Termination criteria for solving concurrent safety and reachability games,” presented at the SODA: Symposium on Discrete Algorithms, 2009, pp. 197–206.
Chatterjee K, De Alfaro L, Henzinger TA. 2009. Termination criteria for solving concurrent safety and reachability games. SODA: Symposium on Discrete Algorithms 197–206.
Chatterjee, Krishnendu, et al. Termination Criteria for Solving Concurrent Safety and Reachability Games. SIAM, 2009, pp. 197–206, doi:10.1137/1.9781611973068.23.
Main File(s)
Access Level
OA Open Access
Last Uploaded
2018-12-12T10:08:03Z


Link(s) to Main File(s)
Access Level
OA Open Access

Export

Marked Publications

Open Data IST Research Explorer

Search this title in

Google Scholar