@techreport{lahiri2005predicate, author = {Lahiri, Shuvendu and Ball, Thomas and Cook, Byron}, title = {Predicate Abstraction via Symbolic Decison Procedures}, series = {LNCS 3576}, year = {2005}, month = {April}, abstract = {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' ˘ neg e ;|; e ∈ E$, for all the subsets G' of G. The result of SDPT 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 '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.}, publisher = {Springer Verlag}, url = {http://approjects.co.za/?big=en-us/research/publication/predicate-abstraction-via-symbolic-decison-procedures/}, pages = {15}, edition = {Computer Aided Verification (CAV '05)}, number = {MSR-TR-2005-53}, note = {Computer Aided Verification (CAV '05)}, }