What does a conditional knowledge base entail?
Artificial Intelligence
Probability and conditionals
An order of magnitude calculus
UAI'95 Proceedings of the Eleventh conference on Uncertainty in artificial intelligence
Probabilistic Dynamic Epistemic Logic
Journal of Logic, Language and Information
A unified framework for order-of-magnitude confidence relations
UAI '04 Proceedings of the 20th conference on Uncertainty in artificial intelligence
From conditional probability to the logic of doxastic actions
TARK '07 Proceedings of the 11th conference on Theoretical aspects of rationality and knowledge
A complete probabilistic belief logic
CLIMA VII'06 Proceedings of the 7th international conference on Computational logic in multi-agent systems
| Hi-index | 0.00 |
The relationship between Popper spaces (conditional probability spaces that satisfy some regularity conditions), lexicographic probability systems (LPS's) [Blume, Brandenburger, and Dekel 1991a; Blume, Brandenburger, and Dekel 1991b], and nonstandard probability spaces (NPS's) is considered. If countable additivity is assumed, Popper spaces and a subclass of LPS's are equivalent; without the assumption of countable additivity, the equivalence no longer holds. If the state space is finite, LPS's are equivalent to NPS's. However, if the state space is infinite, NPS's are shown to be more general than LPS's.