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Multi-agent Logics for Reasoning About Higher-Order Upper and Lower Probabilities
Journal of Logic, Language and Information 29 (1):77-107 (2020)
Abstract
We present a propositional and a first-order logic for reasoning about higher-order upper and lower probabilities. We provide sound and complete axiomatizations for the logics and we prove decidability in the propositional case. Furthermore, we show that the introduced logics generalize some existing probability logics.Author's Profile
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References found in this work
The Enterprise of Knowledge: An Essay on Knowledge, Credal Probability, and Chance.Isaac Levi - 1980 - MIT Press.
Probability and the Logic of Rational Belief.Peter Krauss - 1961 - Journal of Symbolic Logic 35 (1):127.
An analysis of first-order logics of probability.Joseph Y. Halpern - 1990 - Artificial Intelligence 46 (3):311-350.
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