Memory Reduction via Delayed Simulation

We address a central (and classical) issue in the theory of infinite games: the reduction of the memory size that is needed to implement winning strategies in regular infinite games (i.e., controllers that ensure correct behavior against actions of the environment, when the specification is a regula...

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Main Authors: Michael Holtmann, Marcus Gelderie
Format: Article
Language:English
Published: Open Publishing Association 2011-02-01
Series:Electronic Proceedings in Theoretical Computer Science
Online Access:http://arxiv.org/pdf/1102.4120v1
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author Michael Holtmann
Marcus Gelderie
author_facet Michael Holtmann
Marcus Gelderie
author_sort Michael Holtmann
collection DOAJ
description We address a central (and classical) issue in the theory of infinite games: the reduction of the memory size that is needed to implement winning strategies in regular infinite games (i.e., controllers that ensure correct behavior against actions of the environment, when the specification is a regular omega-language). We propose an approach which attacks this problem before the construction of a strategy, by first reducing the game graph that is obtained from the specification. For the cases of specifications represented by "request-response"-requirements and general "fairness" conditions, we show that an exponential gain in the size of memory is possible.
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spelling doaj.art-10e1b8494ab04a849b02861e86ad864d2022-12-22T03:26:17ZengOpen Publishing AssociationElectronic Proceedings in Theoretical Computer Science2075-21802011-02-0150Proc. iWIGP 2011466010.4204/EPTCS.50.4Memory Reduction via Delayed SimulationMichael HoltmannMarcus GelderieWe address a central (and classical) issue in the theory of infinite games: the reduction of the memory size that is needed to implement winning strategies in regular infinite games (i.e., controllers that ensure correct behavior against actions of the environment, when the specification is a regular omega-language). We propose an approach which attacks this problem before the construction of a strategy, by first reducing the game graph that is obtained from the specification. For the cases of specifications represented by "request-response"-requirements and general "fairness" conditions, we show that an exponential gain in the size of memory is possible.http://arxiv.org/pdf/1102.4120v1
spellingShingle Michael Holtmann
Marcus Gelderie
Memory Reduction via Delayed Simulation
Electronic Proceedings in Theoretical Computer Science
title Memory Reduction via Delayed Simulation
title_full Memory Reduction via Delayed Simulation
title_fullStr Memory Reduction via Delayed Simulation
title_full_unstemmed Memory Reduction via Delayed Simulation
title_short Memory Reduction via Delayed Simulation
title_sort memory reduction via delayed simulation
url http://arxiv.org/pdf/1102.4120v1
work_keys_str_mv AT michaelholtmann memoryreductionviadelayedsimulation
AT marcusgelderie memoryreductionviadelayedsimulation