Logic, language and computation, vol. 2
The logic of public announcements, common knowledge, and private suspicions
TARK '98 Proceedings of the 7th conference on Theoretical aspects of rationality and knowledge
Probabilistic Dynamic Epistemic Logic
Journal of Logic, Language and Information
Conditional Probability Meets Update Logic
Journal of Logic, Language and Information
Reasoning about Uncertainty
Lexicographic probability, conditional probability, and nonstandard probability
TARK '01 Proceedings of the 8th conference on Theoretical aspects of rationality and knowledge
Conditional Doxastic Models: A Qualitative Approach to Dynamic Belief Revision
Electronic Notes in Theoretical Computer Science (ENTCS)
Logics of communication and change
Information and Computation
Toward a dynamic logic of questions
LORI'09 Proceedings of the 2nd international conference on Logic, rationality and interaction
Hi-index | 0.00 |
We investigate the discrete (finite) case of the Popper-Renyi theory of conditional probability, introducing discrete conditional probabilistic models for knowledge and conditional belief, and comparing them with the more standard plausibility models. We also consider a related notion, that of safe belief, which is a weak (nonnegatively introspective) type of "knowledge". We develop a probabilistic version of this concept ("degree of safety") and we analyze its role in games. We completely axiomatize the logic of conditional belief, knowledge and safe belief over conditional probabilistic models. We develop a theory of probabilistic dynamic belief revision, introducing "action models" and a notion of probabilistic update product, that comes together with appropriate reduction laws.