Formalizing nonmonotonic reasoning systems
Artificial Intelligence
Results on translating defaults to circumscription
Artificial Intelligence
On the relation between default and autoepistemic logic
Artificial Intelligence
A unifying framework for nonmonotonic reasoning
ECAI '92 Proceedings of the 10th European conference on Artificial intelligence
Modal nonmonotonic logics: ranges, characterization, computation
Journal of the ACM (JACM)
Translating default logic into standard autoepistemic logic
Journal of the ACM (JACM)
On embedding default logic into Moore's autoepistemic logic
Artificial Intelligence
Querying disjunctive databases through nonmonotonic logics
Theoretical Computer Science
Reasoning with Incomplete Information
Reasoning with Incomplete Information
Nonmonotonic Logic: Context-Dependent Reasoning
Nonmonotonic Logic: Context-Dependent Reasoning
On the intertranslatability of non-monotonic logics
Annals of Mathematics and Artificial Intelligence
JELIA '98 Proceedings of the European Workshop on Logics in Artificial Intelligence
Separating Disbeliefs from Beliefs in Autoepistemic Reasoning
LPNMR '97 Proceedings of the 4th International Conference on Logic Programming and Nonmonotonic Reasoning
Nonmonotonic Reasoning by Monotonic Inference with Priority Constraints
NMELP '96 Selected papers from the Non-Monotonic Extensions of Logic Programming
Semantical considerations on nonmonotonic logic
IJCAI'83 Proceedings of the Eighth international joint conference on Artificial intelligence - Volume 1
On the relation between autoepistemic logic and circumscription
IJCAI'89 Proceedings of the 11th international joint conference on Artificial intelligence - Volume 2
Relating default logic and circumscription
IJCAI'87 Proceedings of the 10th international joint conference on Artificial intelligence - Volume 1
IJCAI'85 Proceedings of the 9th international joint conference on Artificial intelligence - Volume 1
IJCAI'85 Proceedings of the 9th international joint conference on Artificial intelligence - Volume 1
Modal interpretations of default logic
IJCAI'91 Proceedings of the 12th international joint conference on Artificial intelligence - Volume 1
A Compilation of Brewka and Eiter's Approach to Prioritization
JELIA '00 Proceedings of the European Workshop on Logics in Artificial Intelligence
Capturing Stationary and Regular Extensions with Reiter's Extensions
JELIA '00 Proceedings of the European Workshop on Logics in Artificial Intelligence
On the Effect of Default Negation on the Expressiveness of Disjunctive Rules
LPNMR '01 Proceedings of the 6th International Conference on Logic Programming and Nonmonotonic Reasoning
Comparing the Expressive Powers of Some Syntactically Restricted Classes of Logic Programs
CL '00 Proceedings of the First International Conference on Computational Logic
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This paper reports on systematic research which aims to classify non-monotonic logics by their expressive power. The classification is based on translation functions that satisfy three important criteria: polynomiality, faithfulness and modularity (PFM for short). The basic method for classification is to prove that PFM translation functions exist (or do not exist) between certain logics. As a result, non-monotonic logics can be arranged to form a hierarchy. This paper gives an overview of the current expressive power hierarchy (EPH) and investigates seminormal default logic as well as prerequisite-free and semi-normal default logic in order to locate their exact positions in the hierarchy.