Ordered chaining calculi for first-order theories of transitive relations
Journal of the ACM (JACM)
Tarskian Set Constraints Are in NEXPTIME
MFCS '98 Proceedings of the 23rd International Symposium on Mathematical Foundations of Computer Science
CADE-13 Proceedings of the 13th International Conference on Automated Deduction: Automated Deduction
LICS '96 Proceedings of the 11th Annual IEEE Symposium on Logic in Computer Science
Representation Theorems and Theorem Proving in Non-Classical Logics
ISMVL '99 Proceedings of the Twenty Ninth IEEE International Symposium on Multiple-Valued Logic
On Uniform Word Problems Involving Bridging Operators on Distributive Lattices
TABLEAUX '02 Proceedings of the International Conference on Automated Reasoning with Analytic Tableaux and Related Methods
A Proof System for Dependencies for Information Relations
Fundamenta Informaticae
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In this paper we establish a link between satisfiability of universal sentences with respect to varieties of distributive lattices with operators and satisfiability with respect to certain classes of relational structures. We use these results for giving a method for translation to clause form of universal sentences in such varieties, and then use results from automated theorem proving to obtain decidability and complexity results for the universal theory of some such varieties.