An exponential lower bound for the parity game strategy improvement algorithm as we know it

O Friedmann - 2009 24th Annual IEEE Symposium on Logic In …, 2009 - ieeexplore.ieee.org
This paper presents a new lower bound for the discrete strategy improvement algorithm for
solving parity games due to Voege and Jurdzinski. First, we informally show which structures …

A recursive approach to solving parity games in quasipolynomial time

K Lehtinen, P Parys, S Schewe… - Logical Methods in …, 2022 - lmcs.episciences.org
Zielonka's classic recursive algorithm for solving parity games is perhaps the simplest
among the many existing parity game algorithms. However, its complexity is exponential …

[PDF][PDF] Games with imperfect information: theory and algorithms.

L Doyen, JF Raskin - Lectures in Game Theory for Computer Scientists, 2011 - lsv.fr
We study observation-based strategies for two-player turnbased games played on graphs
with parity objectives. An observationbased strategy relies on imperfect information about …

COOL 2–a generic reasoner for modal fixpoint logics (system description)

O Görlitz, D Hausmann, M Humml, D Pattinson… - … on Automated Deduction, 2023 - Springer
There is a wide range of modal logics whose semantics goes beyond relational structures,
and instead involves, eg, probabilities, multi-player games, weights, or neighbourhood …

Benchmarks for parity games

JJA Keiren - … of Software Engineering: 6th International Conference …, 2015 - Springer
We propose a benchmark suite for parity games that includes the benchmarks that have
been used in the literature, and make it available online. We give an overview of the parity …

[PDF][PDF] Probably Approximately Correct Learning in Stochastic Games with Temporal Logic Specifications.

M Wen, U Topcu - IJCAI, 2016 - ijcai.org
We consider a controller synthesis problem in turnbased stochastic games with both a
qualitative linear temporal logic (LTL) constraint and a quantitative discounted-sum …

Improving parity game solvers with justifications

R Lapauw, M Bruynooghe, M Denecker - International Conference on …, 2020 - Springer
Parity games are infinite two-player games played on node-weighted directed graphs.
Formal verification problems such as verifying and synthesizing automata, bounded model …

Generic model checking for modal fixpoint logics in COOL-MC

D Hausmann, M Humml, S Prucker, L Schröder… - … on Verification, Model …, 2023 - Springer
We report on COOL-MC, a model checking tool for fixpoint logics that is parametric in the
branching type of models (non-deterministic, game-based, probabilistic etc.) and in the next …

Probably approximately correct learning in adversarial environments with temporal logic specifications

M Wen, U Topcu - IEEE Transactions on Automatic Control, 2021 - ieeexplore.ieee.org
Reinforcement learning (RL) algorithms have been used to learn how to implement tasks in
uncertain and partially unknown environments. In practice, environments are usually …

Solving parity games using an automata-based algorithm

A Di Stasio, A Murano, G Perelli, MY Vardi - International Conference on …, 2016 - Springer
Parity games are abstract infinite-round games that take an important role in formal
verification. In the basic setting, these games are two-player, turn-based, and played under …