Belief structures, possibility theory and decomposable confidence measures on finite sets
Computers and Artificial Intelligence
An algebraic synthesis of the foundations of logic and probability
Information Sciences: an International Journal
Probabilistic reasoning in intelligent systems: networks of plausible inference
Probabilistic reasoning in intelligent systems: networks of plausible inference
Nonmonotonic reasoning, preferential models and cumulative logics
Artificial Intelligence
Artificial Intelligence - Special issue on knowledge representation
Epistemic entrenchment and possibilistic logic
Artificial Intelligence
What does a conditional knowledge base entail?
Artificial Intelligence
The uncertain reasoner's companion: a mathematical perspective
The uncertain reasoner's companion: a mathematical perspective
On the revision of conditional belief sets
Conditionals
On the logic of iterated belief revision
Artificial Intelligence
Nonmonotonic reasoning, conditional objects and possibility theory
Artificial Intelligence
A sequential reversible belief revision method based on polynomials
AAAI '99/IAAI '99 Proceedings of the sixteenth national conference on Artificial intelligence and the eleventh Innovative applications of artificial intelligence conference innovative applications of artificial intelligence
Diverse confidence levels in a probabilistic semantics for conditional logics
Artificial Intelligence
Conditional Inference and Logic for Intelligent Systems: A Theory of Measure-Free Conditioning
Conditional Inference and Logic for Intelligent Systems: A Theory of Measure-Free Conditioning
A modal analysis of possibility theory
FAIR '91 Proceedings of the International Workshop on Fundamentals of Artificial Intelligence Research
Relations between the logic of theory change and nonmonotonic logic
Proceedings of the Workshop on The Logic of Theory Change
System Z: A Natural Ordering of Defaults with Tractable Applications to Nonmonotonic Reasoning
Proceedings of the 3rd Conference on Theoretical Aspects of Reasoning about Knowledge
Defining relative likelihood in partially-ordered preferential structures
Journal of Artificial Intelligence Research
IJCAI'95 Proceedings of the 14th international joint conference on Artificial intelligence - Volume 2
Conditionals in nonmonotonic reasoning and belief revision: considering conditionals as agents
Conditionals in nonmonotonic reasoning and belief revision: considering conditionals as agents
Plausibility measures and default reasoning
AAAI'96 Proceedings of the thirteenth national conference on Artificial intelligence - Volume 2
Comparative uncertainty, belief functions and accepted beliefs
UAI'98 Proceedings of the Fourteenth conference on Uncertainty in artificial intelligence
Numerical representations of acceptance
UAI'95 Proceedings of the Eleventh conference on Uncertainty in artificial intelligence
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This paper bridges the gap between comparative belief structures, such as those induced by probability measures, and logical representations of accepted beliefs. We add, to natural properties of comparative belief relations, some conditions that ensure that accepted beliefs form a deductively closed set. It is shown that the beliefs accepted by an agent in all contexts can always be described by a family of conditionals. These results are closely connected to the nonmonotonic 'preferential' inference system of Kraus, Lehmann and Magidor and the works of Friedman and Halpern on their so-called plausibility functions. Acceptance relations are also another way of approaching the theory of belief change after the works of Gärdenfors and colleagues.