Playing Pushdown Parity Games in a Hurry ( Extended Abstract )

نویسندگان

  • Wladimir Fridman
  • Martin Zimmermann
چکیده

We continue the investigation of finite-duration variants of infinite-duration games by extending known results for games played on finite graphs to those played on infinite ones. In particular, we establish an equivalence between pushdown parity games and a finite-duration variant. This allows to determine the winner of a pushdown parity game by solving a reachability game on a finite tree.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Playing Pushdown Parity Games in a Hurry

Introduction. Infinite two-player games on graphs are a powerful tool to model, verify, and synthesize open reactive systems and are closely related to fixed-point logics. The winner of a play in such a game typically emerges only after completing the whole (infinite) play. Despite this, McNaughton became interested in playing infinite games in finite time, motivated by his belief that “infinit...

متن کامل

Formats of Winning Strategies for Six Types of Pushdown Games

The solution of parity games over pushdown graphs (Walukiewicz ’96) was the first step towards an effective theory of infinite-state games. It was shown that winning strategies for pushdown games can be implemented again as pushdown automata. We continue this study and investigate the connection between game presentations and winning strategies in altogether six cases of game arenas, among them...

متن کامل

Parity Games Played on Transition Graphs of One-Counter Processes

We consider parity games played on special pushdown graphs, namely those generated by one-counter processes. For parity games on pushdown graphs, it is known from [23] that deciding the winner is an ExpTime-complete problem. An important corollary of this result is that the μ-calculus model checking problem for pushdown processes is ExpTime-complete. As one-counter processes are special cases o...

متن کامل

Positional Strategies for Higher-Order Pushdown Parity Games

Higher-order pushdown systems generalize pushdown systems by using higher-order stacks, which are nested stacks of stacks. In this article, we consider parity games defined by higher-order pushdown systems and provide a k-Exptime algorithm to compute finite representations of positional winning strategies for both players for games defined by level-k higher-order pushdown automata. Our result i...

متن کامل

Infinite-state games with finitary conditions

We study two-player zero-sum games over infinite-state graphs with boundedness conditions. Our first contribution is about the strategy complexity, i.e the memory required for winning strategies: we prove that over general infinite-state graphs, memoryless strategies are sufficient for finitary Büchi games, and finite-memory suffices for finitary parity games. We then study pushdown boundedness...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2012