Automated deduction by theory resolution
Journal of Automated Reasoning
POPL '87 Proceedings of the 14th ACM SIGACT-SIGPLAN symposium on Principles of programming languages
Journal of the ACM (JACM)
A resolution principle for constrained logics
Artificial Intelligence
Symbolic Logic and Mechanical Theorem Proving
Symbolic Logic and Mechanical Theorem Proving
An essential hybrid reasoning system: knowledge and symbol level accounts of KRYPTON
IJCAI'85 Proceedings of the 9th international joint conference on Artificial intelligence - Volume 1
Route generation and description using a logical and an analogical framework
Annals of Mathematics and Artificial Intelligence
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Some spatial reasoning systems use images to solve problems, rather than making formal logical inferences. However, an open question is how to use these systems in contexts where some nonspatial information is also involved. We present a hybrid reasoning method in which we extend the capabilities of a spatial reasoner by integrating it with a resolution theorem-prover. We prove that the hybrid system is refutation-complete, in the sense that, if a domain theory is unsatisfiable, perhaps only because all of its models entail unrealizable images, then our algorithm will halt. We discuss how our approach differs from other hybrid reasoning algorithms in the way it manages the interaction between sub-systems.