# A Comparison of BDD-Based Parity Game Solvers

@article{Sanchez2018ACO, title={A Comparison of BDD-Based Parity Game Solvers}, author={Lisette Sanchez and Wieger Wesselink and Tim A. C. Willemse}, journal={CoRR}, year={2018}, volume={abs/1809.03097}, pages={103-117} }

Parity games are two player games with omega-winning conditions, played on finite graphs. Such games play an important role in verification, satisfiability and synthesis. It is therefore important to identify algorithms that can efficiently deal with large games that arise from such applications. In this paper, we describe our experiments with BDD-based implementations of four parity game solving algorithms, viz. Zielonka's recursive algorithm, the more recent Priority Promotion algorithm, the…

## 6 Citations

On-The-Fly Solving for Symbolic Parity Games

- Computer ScienceTACAS
- 2022

This work formalises how to use on-the-fly solving techniques during the exploration process for symbolic parity games and studies their effectiveness in practice, showing that speed-ups of several orders of magnitude are feasible and overhead (if unavoidable) is typically low.

Symbolic Parity Game Solvers that Yield Winning Strategies

- Computer ScienceGandALF
- 2020

Two symbolic algorithms that yield winning strategies, based on two recently proposed fixpoint algorithms, are proposed, which are competitive with or faster than an earlier symbolic implementation of Zielonka's recursive algorithm, while also providing the winning strategies.

Simple Fixpoint Iteration To Solve Parity Games

- Computer ScienceGandALF
- 2019

This work introduces an algorithm that relies on the notion of a distraction and shows that this algorithm is in fact identical to two earlier published fixpoint algorithms for parity games and thus that these earlier algorithms are the same.

Cheap CTL Compassion in NuSMV

- Computer ScienceVMCAI
- 2020

The syntax in the well-known symbolic model checker NuSMV is implemented, consequently also implementing \(\mathsf {CTL}\) model checking with “compassion” objectives, and the resulting specifications correspond to parity games with two priorities.

Priority Promotion with Parysian Flair

- Computer ScienceArXiv
- 2021

An algorithm is developed that combines the advantages of priority promotion - the leading approach to solving large parity games in practice - with the quasi-polynomial time guarantees offered by Parys' algorithm, and shows that an interface that respects both is not only effective, but also efficient.

Energy mu-Calculus: Symbolic Fixed-Point Algorithms for omega-Regular Energy Games

- Computer Science, MathematicsArXiv
- 2020

The syntax and semantics of energy $\mu$-calculus are defined over symbolic representations of the game graphs, and it is shown how to use it to solve the decision and the minimum credit problems for $\omega$-regular energy games, for both bounded and unbounded energy level accumulations.

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