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Related papers: Local Strategy Improvement for Parity Game Solving

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Symmetry is inherent in the definition of most of the two-player zero-sum games, including parity, mean-payoff, and discounted-payoff games. It is therefore quite surprising that no symmetric analysis techniques for these games exist. We…

Computer Science and Game Theory · Computer Science 2015-01-27 Sven Schewe , Ashutosh Trivedi , Thomas Varghese

While discounted payoff games and classic games that reduce to them, like parity and mean-payoff games, are symmetric, their solutions are not. We have taken a fresh view on the properties that optimal solutions need to have, and devised a…

Data Structures and Algorithms · Computer Science 2026-03-11 Daniele Dell'Erba , Arthur Dumas , Sven Schewe

We consider two-player games played in real time on game structures with clocks where the objectives of players are described using parity conditions. The games are \emph{concurrent} in that at each turn, both players independently propose…

Logic in Computer Science · Computer Science 2019-03-14 Krishnendu Chatterjee , Thomas A. Henzinger , Vinayak S. Prabhu

Distributed online optimization and game have been increasingly researched in the last decade, mostly motivated by its wide applications in sensor networks, robotics (e.g., distributed target tracking and formation control), smart grids,…

Machine Learning · Computer Science 2023-01-24 Xiuxian Li , Lihua Xie , Na Li

The computation of the winning set for parity objectives and for Streett objectives in graphs as well as in game graphs are central problems in computer-aided verification, with application to the verification of closed systems with strong…

Data Structures and Algorithms · Computer Science 2019-03-14 Krishnendu Chatterjee , Monika Henzinger , Veronika Loitzenbauer

We consider concurrent games played on graphs. At every round of the game, each player simultaneously and independently selects a move; the moves jointly determine the transition to a successor state. Two basic objectives are the safety…

Computer Science and Game Theory · Computer Science 2008-12-18 Krishnendu Chatterjee , Luca de Alfaro , Thomas A. Henzinger

In this paper we propose a new parallel algorithm for solving global optimization (GO) multidimensional problems. The method unifies two powerful approaches for accelerating the search: parallel computations and local tuning on the behavior…

Optimization and Control · Mathematics 2011-03-31 Yaroslav D. Sergeyev

We consider concurrent games played on graphs. At every round of a game, each player simultaneously and independently selects a move; the moves jointly determine the transition to a successor state. Two basic objectives are the safety…

Computer Science and Game Theory · Computer Science 2012-07-03 Krishnendu Chatterjee , Luca de Alfaro , Thomas A. Henzinger

We study strategy improvement algorithms for mean-payoff and parity games. We describe a structural property of these games, and we show that these structures can affect the behaviour of strategy improvement. We show how awareness of these…

Computer Science and Game Theory · Computer Science 2015-05-18 John Fearnley

We present a novel local improvement scheme for the perfectly balanced graph partitioning problem. This scheme encodes local searches that are not restricted to a balance constraint into a model allowing us to find combinations of these…

Data Structures and Algorithms · Computer Science 2012-10-02 Peter Sanders , Christian Schulz

The winning condition of a parity game with costs requires an arbitrary, but fixed bound on the cost incurred between occurrences of odd colors and the next occurrence of a larger even one. Such games quantitatively extend parity games…

Logic in Computer Science · Computer Science 2023-06-22 Alexander Weinert , Martin Zimmermann

We study strategic similarity of game positions in two-player extensive games of perfect information, by looking at the structure of their local game trees, with the aim of improving the performance of game playing agents in detecting…

Artificial Intelligence · Computer Science 2019-02-26 Sabrina Evans , Paolo Turrini

Parity games play an important role for LTL synthesis as evidenced by recent breakthroughs on LTL synthesis, which rely in part on parity game solving. Yet state space explosion remains a major issue if we want to scale to larger systems or…

Logic in Computer Science · Computer Science 2020-09-24 Oebele Lijzenga , Tom van Dijk

This paper introduces a local search method for improving an existing program with respect to a measurable objective. Program Optimization with Locally Improving Search (POLIS) exploits the structure of a program, defined by its lines.…

Software Engineering · Computer Science 2023-07-13 Fatemeh Abdollahi , Saqib Ameen , Matthew E. Taylor , Levi H. S. Lelis

We consider two-player games played in real time on game structures with clocks and parity objectives. The games are concurrent in that at each turn, both players independently propose a time delay and an action, and the action with the…

Logic in Computer Science · Computer Science 2008-07-09 Krishnendu Chatterjee , Thomas A. Henzinger , Vinayak Prabhu

The graph matching optimization problem is an essential component for many tasks in computer vision, such as bringing two deformable objects in correspondence. Naturally, a wide range of applicable algorithms have been proposed in the last…

Computer Vision and Pattern Recognition · Computer Science 2022-08-01 Stefan Haller , Lorenz Feineis , Lisa Hutschenreiter , Florian Bernard , Carsten Rother , Dagmar Kainmüller , Paul Swoboda , Bogdan Savchynskyy

A naive way to solve the model-checking problem of the mu-calculus uses fixpoint iteration. Traditionally however mu-calculus model-checking is solved by a reduction in linear time to a parity game, which is then solved using one of the…

Logic in Computer Science · Computer Science 2019-09-18 Tom van Dijk , Bob Rubbens

The performance of two pivoting algorithms, due to Lemke and Cottle and Dantzig, is studied on linear complementarity problems (LCPs) that arise from infinite games, such as parity, average-reward, and discounted games. The algorithms have…

Computer Science and Game Theory · Computer Science 2020-01-16 John Fearnley , Marcin Jurdziński , Rahul Savani

While discounted payoff games and classic games that reduce to them, like parity and mean-payoff games, are symmetric, their solutions are not. We have taken a fresh view on the constraints that optimal solutions need to satisfy, and…

Data Structures and Algorithms · Computer Science 2023-10-03 Daniele Dell'Erba , Arthur Dumas , Sven Schewe

Graph games with {\omega}-regular winning conditions provide a mathematical framework to analyze a wide range of problems in the analysis of reactive systems and programs (such as the synthesis of reactive systems, program repair, and the…

Data Structures and Algorithms · Computer Science 2017-06-16 Krishnendu Chatterjee , Wolfgang Dvořák , Monika Henzinger , Veronika Loitzenbauer