Simplification by Cooperating Decision Procedures
ACM Transactions on Programming Languages and Systems (TOPLAS)
Efficient theory combination via boolean search
Information and Computation - Special issue: Combining logical systems
Model-based Theory Combination
Electronic Notes in Theoretical Computer Science (ENTCS)
CAV '08 Proceedings of the 20th international conference on Computer Aided Verification
A Scalable Memory Model for Low-Level Code
VMCAI '09 Proceedings of the 10th International Conference on Verification, Model Checking, and Abstract Interpretation
Boolector: An Efficient SMT Solver for Bit-Vectors and Arrays
TACAS '09 Proceedings of the 15th International Conference on Tools and Algorithms for the Construction and Analysis of Systems: Held as Part of the Joint European Conferences on Theory and Practice of Software, ETAPS 2009,
An algorithm for reasoning about equality
IJCAI'77 Proceedings of the 5th international joint conference on Artificial intelligence - Volume 1
Annals of Mathematics and Artificial Intelligence
CAV'07 Proceedings of the 19th international conference on Computer aided verification
TACAS'08/ETAPS'08 Proceedings of the Theory and practice of software, 14th international conference on Tools and algorithms for the construction and analysis of systems
LPAR'10 Proceedings of the 17th international conference on Logic for programming, artificial intelligence, and reasoning
Sharing is caring: combination of theories
FroCoS'11 Proceedings of the 8th international conference on Frontiers of combining systems
Splitting on demand in SAT modulo theories
LPAR'06 Proceedings of the 13th international conference on Logic for Programming, Artificial Intelligence, and Reasoning
Combining data structures with nonstably infinite theories using many-sorted logic
FroCoS'05 Proceedings of the 5th international conference on Frontiers of Combining Systems
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One of the main shortcomings of traditional methods for combining theories is the complexity of guessing the arrangement of variables shared by the individual theories. This paper presents a reformulation of the Nelson-Oppen method that takes into account explicit equality propagation and can ignore pairs of shared variables that the theories do not care about. We show the correctness of the new approach and present care functions for the theory of uninterpreted functions and the theory of arrays. The effectiveness of the new method is illustrated by experimental results demonstrating a dramatic performance improvement on benchmarks combining arrays and bit-vectors.