Validity Checking for Combinations of Theories with Equality
FMCAD '96 Proceedings of the First International Conference on Formal Methods in Computer-Aided Design
Bit-Level Abstraction in the Verfication of Pipelined Microprocessors by Correspondence Checking
FMCAD '98 Proceedings of the Second International Conference on Formal Methods in Computer-Aided Design
Translation Validation for Synchronous Languages
ICALP '98 Proceedings of the 25th International Colloquium on Automata, Languages and Programming
BDD Based Procedures for a Theory of Equality with Uninterpreted Functions
CAV '98 Proceedings of the 10th International Conference on Computer Aided Verification
Deciding Equality Formulas by Small Domains Instantiations
CAV '99 Proceedings of the 11th International Conference on Computer Aided Verification
Boolean Satisfiability with Transitivity Constraints
CAV '00 Proceedings of the 12th International Conference on Computer Aided Verification
Automatic verification of Pipelined Microprocessor Control
CAV '94 Proceedings of the 6th International Conference on Computer Aided Verification
Exploiting Positive Equality in a Logic of Equality with Uninterpreted Functions
CAV '99 Proceedings of the 11th International Conference on Computer Aided Verification
Building small equality graphs for deciding equality logic with uninterpreted functions
Information and Computation
NuMDG: a new tool for multiway decision graphs construction
Journal of Computer Science and Technology - Special issue on natural language processing
Yet another decision procedure for equality logic
CAV'05 Proceedings of the 17th international conference on Computer Aided Verification
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We introduce a decision procedure for satisfiability of equivalence logic formulas with uninterpreted functions and predicates. In a previous work ([PRSS99]) we presented a decision procedure for this problem which started by reducing the formula into a formula in equality logic. As a second step, the formula structure was analyzed in order to derive a small range of values for each variable that is sufficient for preserving the formula's satisfiability. Then, a standard BDD based tool was used in order to check the formula under the new small domain. In this paper we change the reduction method and perform a more careful analysis of the formula, which results in significantly smaller domains. Both theoretical and experimental results show that the new method is superior to the previous one and to the method suggested in [BGV99].