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Abstraction refinement for games with incomplete information

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conference contribution
posted on 2020-05-26, 15:33 authored by R Dimitrova, B Finkbeiner
Counterexample-guided abstraction refinement (CEGAR) is used in automated software analysis to find suitable finite-state abstractions of infinite-state systems. In this paper, we extend CEGAR to games with incomplete information, as they commonly occur in controller synthesis and modular verification. The challenge is that, under incomplete information, one must carefully account for the knowledge available to the player: the strategy must not depend on information the player cannot see. We propose an abstraction mechanism for games under incomplete information that incorporates the approximation of the players' moves into a knowledge-based subset construction on the abstract state space. This abstraction results in a perfect-information game over a finite graph. The concretizability of abstract strategies can be encoded as the satisfiability of strategy-tree formulas. Based on this encoding, we present an interpolation-based approach for selecting new predicates and provide sufficient conditions for the termination of the resulting refinement loop. © Dimitrova, Finkbeiner.

Funding

This work was partly supported by the German Research Foundation (DFG) as part of the Transregional Collaborative Research Center Automatic Verification and Analysis of Complex Systems (SFB/TR 14 AVACS).†First Author Supported by a Microsoft Research European PhD Scholarship and by an IMPRS-CS PhD Scholarship

History

Citation

Leibniz International Proceedings in Informatics, LIPIcs, 2008, 2, pp. 175-186

Author affiliation

/Organisation/COLLEGE OF SCIENCE AND ENGINEERING/Department of Informatics

Source

FSTTCS 2008 IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science

Published in

Leibniz International Proceedings in Informatics (LIPIcs)

Volume

2

Pagination

175-186

Publisher

Schloss Dagstuhl - Leibniz-Zentrum für Informatik

issn

1868-8969

isbn

9783939897088

Copyright date

2008

Editors

R. Hariharan, M. Mukund, V. Vinay

Spatial coverage

Bangalore

Language

en

Publisher version

https://drops.dagstuhl.de/opus/volltexte/2008/1751/

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