McNaughton games and extracting strategies for concurrent programs

McNaughton Games and Extracting Strategies for Concurrent Programs

Nerode et al. [ 131 showed that a correct concurrent program can be viewed as a winning strategy in a suitably defined two player game played between the Programmer and the Computer in which the program specification is defined by the rules of the game together with the winning condition. This gives rise to the question as to whether there are useful algorithms to extract (provably) winning str...

Finite State Strategies in One Player McNaughton Games

Extracting Non-Deterministic Concurrent Programs

We introduce an extension of intuitionistic fixed point logic by a modal operator facilitating the extraction of non-deterministic concurrent programs from proofs. We apply this extension to program extraction in computable analysis, more precisely, to computing with Tsuiki’s infinite Gray code for real numbers. 1998 ACM Subject Classification F.1.2 Modes of Computation, F.3.1 Specifying and Ve...

Monomial Strategies for Concurrent Reachability Games and Other Stochastic Games

We consider two-player zero-sum finite (but infinite-horizon) stochastic games with limiting average payoffs. We define a family of stationary strategies for Player I parameterized by ε > 0 to be monomial, if for each state k and each action j of Player I in state k except possibly one action, we have that the probability of playing j in k is given by an expression of the form cε for some non-n...

Extracting Winning Strategies in Update Games

This paper investigates algorithms for extracting winning strategies in two-player games played on finite graphs. We focus on a special class of games called update games. We present a procedure for extracting winning strategies in update games by constructing strategies explicitly. This is based on an algorithm that solves update games in quadratic time. We also show that solving update games ...