Symbolic Boolean manipulation with ordered binary-decision diagrams
ACM Computing Surveys (CSUR)
Symbolic model checking: an approach to the state explosion problem
Symbolic model checking: an approach to the state explosion problem
A Computing Procedure for Quantification Theory
Journal of the ACM (JACM)
Fast Decision Procedures Based on Congruence Closure
Journal of the ACM (JACM)
ACM Transactions on Computational Logic (TOCL)
BDD Based Procedures for a Theory of Equality with Uninterpreted Functions
CAV '98 Proceedings of the 10th International Conference on Computer Aided Verification
Deciding Separation Formulas with SAT
CAV '02 Proceedings of the 14th International Conference on Computer Aided Verification
Limits and possibilities of BDDs in state space search
AAAI'08 Proceedings of the 23rd national conference on Artificial intelligence - Volume 3
Equational binary decision diagrams
LPAR'00 Proceedings of the 7th international conference on Logic for programming and automated reasoning
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We provide an automatic verification for a fragment of FOL quantifier-free logic with zero, successor and equality. We use BDD representation of such formulas and to verify them, we first introduce a (complete) term rewrite system to generate an equivalent Ordered(0,S,=)-BDD from any given (0,S,=)-BDD. Having the ordered representation of the BDDs, one can verify the original formula in constant time. Then, to have this transformation automatically, we provide an algorithm which will do the whole process.