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Journal of Applied Mathematics
Volume 2014 (2014), Article ID 703098, 12 pages
Research Article

Compositional Abstraction Refinement for Component-Based Systems

School of Software, Tsinghua University, Beijing 100084, China

Received 14 March 2014; Accepted 9 May 2014; Published 11 June 2014

Academic Editor: Xiaoyu Song

Copyright © 2014 Lianyi Zhang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The efficiency of the compositional verification of invariants depends on the abstraction, which may lead to verification incompleteness. The invariant strengthening and state partitioning techniques are proposed in this paper. The former could refine the overapproximation by removing the unreachable states, and the latter is a variant of counterexample-guided abstraction refinement. Integrated with these two refinement techniques, a unified compositional verification framework is presented to strengthen the abstraction and find counterexamples. Some examples are included to show that the verification of the safety properties in component-based systems has been achieved by our framework.