Applications of circumscription to formalizing common-sense knowledge
Artificial Intelligence
Readings in nonmonotonic reasoning
Artificial intelligence and mathematical theory of computation
On the logic of causal explanation
Artificial Intelligence
Foundations of logic programming
Principles of knowledge representation
On strongest neccessary and weakest sufficient conditions
Artificial Intelligence
Getting to the airport: the oldest planning problem in AI
Logic-based artificial intelligence
Formalizing Commonsense: Papers by John McCarthy
Formalizing Commonsense: Papers by John McCarthy
Nested expressions in logic programs
Annals of Mathematics and Artificial Intelligence
Computing Circumscription Revisited: A Reduction Algorithm
Journal of Automated Reasoning
ASSAT: computing answer sets of a logic program by SAT solvers
Eighteenth national conference on Artificial intelligence
Theory and Practice of Logic Programming
Artificial Intelligence - Special issue on logical formalizations and commonsense reasoning
Representing the zoo world and the traffic world in the language of the causal calculator
Artificial Intelligence - Special issue on logical formalizations and commonsense reasoning
An executable specification of an argumentation protocol
ICAIL '03 Proceedings of the 9th international conference on Artificial intelligence and law
Why are there so many loop formulas?
ACM Transactions on Computational Logic (TOCL)
SAT-based answer set programming
AAAI'04 Proceedings of the 19th national conference on Artifical intelligence
Compiling causal theories to successor state axioms and STRIPS-like systems
Journal of Artificial Intelligence Research
A model-theoretic counterpart of loop formulas
IJCAI'05 Proceedings of the 19th international joint conference on Artificial intelligence
Specifying electronic societies with the causal calculator
AOSE'02 Proceedings of the 3rd international conference on Agent-oriented software engineering III
Causal theories of action and change
AAAI'97/IAAI'97 Proceedings of the fourteenth national conference on artificial intelligence and ninth conference on Innovative applications of artificial intelligence
A new perspective on stable models
IJCAI'07 Proceedings of the 20th international joint conference on Artifical intelligence
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Clark's completion is a simple nonmonotonic formalism and a special case of several nonmonotonic logics. Recently there has been work on extending completion with "loop formulas" so that general cases of nonmonotonic logics such as logic programs (under the answer set semantics) and McCain-Turner causal logic can be characterized by propositional logic in the form of "completion + loop formulas". In this paper, we show that the idea is applicable to McCarthy's circumscription in the propositional case, with Lifschitz's pointwise circumscription playing the role of completion. We also show how to embed propositional circumscription in logic programs and in causal logic, inspired by the uniform characterization of "completion + loop formulas".