We present a new abstraction refinement algorithm to better refine the abstract model for formal property verification. In previous work, refinements are selected either based on a set of counter examples of the current abstract model, as in [5][6][7][8][9][19][20], or independent of any counter examples, as in [17]. We (1) introduce a new "controllability" analysis that is independent of any particular counter examples, (2) apply a new "cooperativeness" analysis that extracts information from a particular set of counter examples and (3) combine both to better refine the abstract model. We implemented the algorithm and applied it to verify several real-world designs and properties. We compared the algorithm against the abstraction refinement algorithms in [19] and [20] and the interpolation-based reachability analysis in [14]. The experimental results indicate that the new algorithm outperforms the other three algorithms in terms of runtime, abstraction efficiency (as defined in [19]) and the number of proven properties.
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