Abstract interpretation techniques prove properties of programs by computing abstract \ufb01xpoints. All such analyses su\ufb00er from the possibility of false errors. We present a new counterexample driven re\ufb01nement technique to reduce false errors in abstract interpretations. Our technique keeps track of the precision losses during forward \ufb01xpoint computation, and does a precise backward propagation from the error to either con\ufb01rm the error as a true error, or identify a re\ufb01nement so as to avoid the false error. Our technique is quite simple, and is independent of the speci\ufb01c abstract domain used. An implementation of our technique for a\ufb03ne transition systems is able to prove invariants generated by the StInG tool [19] without doing any specialized analysis for linear relations. Thus, we hope that the technique can work for other abstract domains as well. We sketch how our technique can be used to perform shape analysis by simply de\ufb01ning an appropriate widening operator over shape graphs.<\/p>\n","protected":false},"excerpt":{"rendered":"
Abstract interpretation techniques prove properties of programs by computing abstract \ufb01xpoints. All such analyses su\ufb00er from the possibility of false errors. We present a new counterexample driven re\ufb01nement technique to reduce false errors in abstract interpretations. Our technique keeps track of the precision losses during forward \ufb01xpoint computation, and does a precise backward propagation from […]<\/p>\n","protected":false},"featured_media":0,"template":"","meta":{"msr-url-field":"","msr-podcast-episode":"","msrModifiedDate":"","msrModifiedDateEnabled":false,"ep_exclude_from_search":false,"_classifai_error":"","footnotes":""},"msr-content-type":[3],"msr-research-highlight":[],"research-area":[13560],"msr-publication-type":[193716],"msr-product-type":[],"msr-focus-area":[],"msr-platform":[],"msr-download-source":[],"msr-locale":[268875],"msr-post-option":[],"msr-field-of-study":[],"msr-conference":[],"msr-journal":[],"msr-impact-theme":[],"msr-pillar":[],"class_list":["post-154677","msr-research-item","type-msr-research-item","status-publish","hentry","msr-research-area-programming-languages-software-engineering","msr-locale-en_us"],"msr_publishername":"","msr_edition":"Proceedings of 12th International Conference on Tools and Algorithms for 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