NDLI: Three-valued abstractions of games: uncertainty, but with precision

Content Provider	IEEE Xplore Digital Library
Author	de Alfaro, L. Godefroid, P. Jagadeesan, R.
Copyright Year	2004
Description	Author affiliation: Dept. of Comput. Eng., California Univ., Santa Cruz, CA, USA (de Alfaro, L.)
Abstract	We present a framework for abstracting two-player turn-based games that preserves any formula of the alternating /spl mu/-calculus (AMC). Unlike traditional conservative abstractions which can only prove the existence of winning strategies for only one of the players, our framework is based on 3-valued games, and it can be used to prove and disprove formulas of AMC including arbitrarily nested strategy quantifiers. Our main contributions are as follows. We define abstract 3-valued games and an alternating refinement relation on these that preserves winning strategies for both players. We provide a logical characterization of the alternating refinement relation. We show that our abstractions are as precise as can be via completeness results. We present AMC formulas that solve 3-valued games with /spl omega/-regular objectives, and we show that such games are determined in a 3-valued sense. We also discuss the complexity of model checking arbitrary AMC formulas on 3-valued games and of checking alternating refinement.
Sponsorship	IEEE Comput. Soc. Tech. Committee on Math. Found. on Comput
Starting Page	170
Ending Page	179
File Size	554933
Page Count	10
File Format	PDF
ISBN	0769521924
ISSN	10436871
DOI	10.1109/LICS.2004.1319611
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2004-07-17
Publisher Place	Finland
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Uncertainty Concrete Logic Formal verification State-space methods Control systems Open systems Computational modeling Context modeling Application software
Content Type	Text
Resource Type	Article
Subject	Mathematics Software

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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