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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.My notes
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References found in this work
An analysis of first-order logics of probability.Joseph Y. Halpern - 1990 - Artificial Intelligence 46 (3):311-350.
Anytime deduction for probabilistic logic.Alan M. Frisch & Peter Haddawy - 1994 - Artificial Intelligence 69 (1-2):93-122.
Some considerations on the logics PFD A logic combining modality and probability.Wiebe van der Hoeck - 1997 - Journal of Applied Non-Classical Logics 7 (3):287-307.
Fuzzy Sets as a Basis for a Theory of Probability.Lofti A. Zadeh - 1978 - Fuzzy Sets and Systems 1:3-28.
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