2 3 Hiermit versichere ich, dass ich die vorliegende Arbeit selbstständig verfasst und keine weiteren als die angegebenen Quellen und Hilfsmittel verwendet sowie Zitate kenntlich gemacht habe.
We present a general construction for eliminating imperfect information from games with several players who coordinate against nature, and to transform them into two-player games with perfect information while preserving winning strategy profiles. The construction yields an infinite game tree with epistemic models associated to nodes. To obtain a more… (More)
We address the strategy problem for ω-regular two-player games with partial information, played on finite game graphs. We consider two different kinds of observability on a general model, a standard synchronous and an asynchronous one. In the asynchronous setting, moves which have no visible effect for a player are hidden completely from that player. We… (More)
We address the strategy problem for parity games with partial information and observable colors, played on finite graphs of bounded graph complexity. We consider several measures for the complexity of graphs and analyze in which cases, bounding the measure decreases the complexity of the strategy problem on the corresponding classes of graphs. We prove or… (More)
We investigate the interrelation between graph searching games and games with imperfect information. As key consequence we obtain that parity games with bounded imperfect information can be solved in Ptime on graphs of bounded DAG-width which generalizes several results for parity games on graphs of bounded complexity. We use a new concept of graph… (More)
We consider the distributed realizability problem for systems with regular and deterministic contextfree local specifications. We characterize exactly the architectures for which the realizability problem is decidable. This extends known results on local specifications in two directions. First, architectures with cycles are allowed instead of just acyclic… (More)
We discuss the roles of continuum linear elasticity and atomistic calculations in determining the formation volume and the strain energy of formation of a point defect in a crystal. Our considerations bear special relevance to defect formation under stress. The elasticity treatment is based on the Green's function solution for a center of contraction or… (More)
We address the problem of solving parity games with imperfect information on finite graphs of bounded structural complexity. It is a major open problem whether parity games with perfect information can be solved in Ptime. Restricting the structural complexity of the game arenas, however, often leads to efficient algorithms for parity games. Such results are… (More)