Proceedings

Preserving Consistency Across Abstraction Mappings

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Proceedings of the Tenth International Joint Conference on Artificial Intelligence. Reasoning. Pages 1011-1013.

Abstract

An abstraction mapping over clausal form theories in first-order predicate calculus is presented that involves the renaming of predicate symbols. This renaming is not 1-1, in the sense that several predicate symbols R1 ,... , Rn from the original theory are all replaced by a single symbol R' in the abstract theory. In order to preserve consistency, however, the clauses that distinguish the Ri'S must be discarded in the abstract theory. This leads to a simple semantics; the union of the extensions of each of the Ri'S in any model of the original theory forms the extension ofR' in a model of the abstract theory.

Josh D. Tenenberg. 1987. Preserving Consistency Across Abstraction Mappings. In Proceedings of the Tenth International Joint Conference on Artificial Intelligence, IJCAI-87. IJCAI, 1011–1013. https://ijcai.org/proceedings/1987/208
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