Saturation, nonmonotonic reasoning and the closed-world assumption
Artificial Intelligence
Applications of circumscription to formalizing common-sense knowledge
Artificial Intelligence
Artificial Intelligence
Readings in nonmonotonic reasoning
Reasoning with Incomplete Information
Reasoning with Incomplete Information
Nonmonotonicity and the scope of reasoning: preliminary report
AAAI'90 Proceedings of the eighth National conference on Artificial intelligence - Volume 1
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One important facet of common-sense reasoning is the ability to draw default conclusions about the state of the world. Such an abili ty enables one to assume, for example, that a given bird flies in the absence of information to the contrary. One drawback of the circumscriptive approach to common-sense reasoning has been its inability to produce default conclusions about equality. For example, generally one cannot tentatively conclude that President (USA) ≠ Fido using circumscription. In this paper we give a second-order axiom and model theory for circumscribing equality, and prove that they are equivalent.