@TechReport{ it:2010-015, author = {Parosh Aziz Abdulla and Yu-Fang Chen and Giorgio Delzanno and Fr{\'e}d{\'e}ric Haziza and Chih-Duo Hong and Ahmed Rezine}, title = {Constrained Monotonic Abstraction: a {CEGAR} for Parameterized Verification}, institution = {Department of Information Technology, Uppsala University}, department = {Division of Computer Systems}, year = {2010}, number = {2010-015}, month = jun, abstract = {In this paper, we develop a counterexample-guided abstraction refinement (CEGAR) framework for \emph{monotonic abstraction}, an approach that is particularly useful in automatic verification of safety properties for \emph{parameterized systems}. The main drawback of verification using monotonic abstraction is that it sometimes generates spurious counterexamples. Our CEGAR algorithm automatically extracts from each spurious counterexample a set of configurations called a "Safety Zone" and uses it to refine the abstract transition system of the next iteration. We have developed a prototype based on this idea; and our experimentation shows that the approach allows to verify many of the examples that cannot be handled by the original monotonic abstraction approach.} }