{"id":152836,"date":"2005-04-01T00:00:00","date_gmt":"2005-04-01T00:00:00","guid":{"rendered":"https:\/\/www.microsoft.com\/en-us\/research\/msr-research-item\/predicate-abstraction-via-symbolic-decison-procedures\/"},"modified":"2018-10-16T20:18:35","modified_gmt":"2018-10-17T03:18:35","slug":"predicate-abstraction-via-symbolic-decison-procedures","status":"publish","type":"msr-research-item","link":"https:\/\/www.microsoft.com\/en-us\/research\/publication\/predicate-abstraction-via-symbolic-decison-procedures\/","title":{"rendered":"Predicate Abstraction via Symbolic Decison Procedures"},"content":{"rendered":"<div class=\"asset-content\">\n<p>We present a new approach for performing predicate abstraction based on symbolic decision procedures. A symbolic decision procedure for a theory T (SDP<sub>T<\/sub>) takes sets of predicates G and E and symbolically executes a decision procedure for T on G&#8217; \u02d8 neg e ;|; e \u2208 E$, for all the subsets G&#8217; of G. The result of SDP<sub>T<\/sub> is a shared expression (represented by a directed acyclic graph) that implicitly represents the answer to a predicate abstraction query. We present symbolic decision procedures for the logic of Equality and Uninterpreted Functions(EUF) and Difference logic (DIF) and show that these procedures run in pseudo-polynomial (rather than exponential) time. We then provide a method to construct SDP &#8216;s for simple mixed theories (including EUF + DIF) using an extension of the Nelson-Oppen combination method. We present preliminary evaluation of our procedure on predicate abstraction benchmarks from device driver verification in SLAM.<\/p>\n<\/div>\n<p><!-- .asset-content --><\/p>\n","protected":false},"excerpt":{"rendered":"<p>We present a new approach for performing predicate abstraction based on symbolic decision procedures. A symbolic decision procedure for a theory T (SDPT) takes sets of predicates G and E and symbolically executes a decision procedure for T on G&#8217; \u02d8 neg e ;|; e \u2208 E$, for all the subsets G&#8217; of G. The [&hellip;]<\/p>\n","protected":false},"featured_media":0,"template":"","meta":{"msr-url-field":"","msr-podcast-episode":"","msrModifiedDate":"","msrModifiedDateEnabled":false,"ep_exclude_from_search":false,"footnotes":""},"msr-content-type":[3],"msr-research-highlight":[],"research-area":[13547],"msr-publication-type":[193718],"msr-product-type":[],"msr-focus-area":[],"msr-platform":[],"msr-download-source":[],"msr-locale":[268875],"msr-field-of-study":[],"msr-conference":[],"msr-journal":[],"msr-impact-theme":[],"msr-pillar":[],"class_list":["post-152836","msr-research-item","type-msr-research-item","status-publish","hentry","msr-research-area-systems-and-networking","msr-locale-en_us"],"msr_publishername":"Springer Verlag","msr_edition":"Computer Aided Verification (CAV 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