Title
A Simple Algorithm For Solving Qualitative Probabilistic Parity Games
Abstract
In this paper, we develop an approach to find strategies that guarantee a property in systems that contain controllable, uncontrollable, and random vertices, resulting in probabilistic games. Such games are a reasonable abstraction of systems that comprise partial control over the system (reflected by controllable transitions), hostile nondeterminism (abstraction of the unknown, such as the behaviour of an attacker or a potentially hostile environment), and probabilistic transitions for the abstraction of unknown behaviour neutral to our goals. We exploit a simple and only mildly adjusted algorithm from the analysis of nonprobabilistic systems, and use it to show that the qualitative analysis of probabilistic games inherits the much celebrated sub-exponential complexity from 2-player games. The simple structure of the exploited algorithm allows us to offer tool support for finding the desired strategy, if it exists, for the given systems and properties. Our experimental evaluation shows that our technique is powerful enough to construct simple strategies that guarantee the specified probabilistic temporal properties.
Year
DOI
Venue
2016
10.1007/978-3-319-41540-6_16
COMPUTER AIDED VERIFICATION: 28TH INTERNATIONAL CONFERENCE, CAV 2016, PT II
Field
DocType
Volume
Abstraction,Vertex (geometry),Computer science,Exploit,Theoretical computer science,SIMPLE algorithm,Probabilistic logic,Parity (mathematics),Stochastic game
Conference
9780
ISSN
Citations 
PageRank 
0302-9743
4
0.40
References 
Authors
18
4
Name
Order
Citations
PageRank
Ernst Moritz Hahn136823.99
Sven Schewe249642.54
Andrea Turrini315317.00
Lijun Zhang424537.10