# 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={GANDALF}, 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

### Languages and strategies: a study of regular infinite games

- Computer Science
- 2013

The fundamental Büchi-Landweber Theorem is extended and refine to subclasses of the class of regular languages, in particular the authors consider hierarchies below the starfree languages and distinguish between weak games and strong games.

### Optimal Strategies in Pushdown Reachability Games

- Computer ScienceMFCS
- 2018

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.

### Synthesis of winning strategies for interaction under partial information

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This work adresses the strategy problem for multiplayer games with imperfect information which are of infinite duration and have (up to) contextfree winning conditions and provides a complete characterization of all communication graphs for which synthesis is decidable for locally decomposable regular and contextfree specifications.

### Good-for-games ω-Pushdown Automata

- Computer ScienceLICS
- 2020

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

- MathematicsAFL
- 2014

Some decidability results on variations of the basic simplification question asks whether one can determine the minimal number of priorities that are needed to accept the language of a given omega-DPDA for some classes of omega-DPDAs are provided.

### Simplification problems for automata and games

- Computer Science
- 2014

This thesis continues the research on two aspects of simplications, namely regularity problems and lookahead delegation and shows the regularity problem to be undecidable even for PDGs with safety acceptance.

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

- MathematicsInt. J. Found. Comput. Sci.
- 2015

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.

### A Bit of Nondeterminism Makes Pushdown Automata Expressive and Succinct

- Computer ScienceMFCS
- 2021

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.

### Infinite Games and Uniformization

- MathematicsICLA
- 2011

The problem of solvability of infinite games is closely connected with the classical question of uniformization of relations by functions of a given class and recent results on infinite games that are motivated by the uniformization problem are discussed.

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