Saturation, nonmonotonic reasoning and the closed-world assumption
Artificial Intelligence
Applications of circumscription to formalizing common-sense knowledge
Artificial Intelligence
On the satisfiability of circumscription
Artificial Intelligence
Circumscription and implicit definability
Journal of Automated Reasoning
Readings in nonmonotonic reasoning
Artificial Intelligence
On the declarative semantics of logic programs with negation
Foundations of deductive databases and logic programming
The importance of open and recursive circumscription (research note)
Artificial Intelligence
The Semantics of Predicate Logic as a Programming Language
Journal of the ACM (JACM)
Introduction to Default Logic
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Thanks to two stronger versions of predicate circumscription (one of the best known non-monotonic reasoning methods), we give a definitive answer to two old open problems. The first one is the problem of expressing domain circumscription in terms of predicate circumscription. The second one is the problem of definability of the circumscribed predicates, asked by Doyle in 1985, and never answered since. These two results, and the way used to obtain them, could help an "automatic circumscriptor".