# Formats of Winning Strategies for Six Types of Pushdown Games

@inproceedings{Fridman2010FormatsOW, title={Formats of Winning Strategies for Six Types of Pushdown Games}, author={Wladimir Fridman}, booktitle={International Symposium on Games, Automata, Logics and Formal Verification}, year={2010} }

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 w inning 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 realtime pushdown systems, visibly pushdown systems, and counter systems. In four cases we show by a…

## 9 Citations

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An algorithm for computing optimal strategies in pushdown reachability games is shown to be too coarse and the strategies constructed are not necessarily optimal, but the algorithm can be refined to recover optimality.

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These are automata whose nondeterminism can be resolved based on the run constructed thus far and it follows that the universality problem for ω-GFG-PDA is in EXPTIME as well.

### Decision Problems for Deterministic Pushdown Automata on Infinite Words

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Some decidability results concerning simplification problems for DPDAs on infinite words (ω-DPDAs) are surveyed and some insights are given on the equivalence problem for a subclass of ω-DPDA.

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It is proved that HD-PDA recognise more languages than deterministic PDA (DPDA) but not all context-free languages (CFL) and this class is orthogonal to unambiguous CFL.

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