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Open Access Publications from the University of California

Logics of Imprecise Comparative Probability

  • Author(s): Ding, Yifeng
  • Holliday, Wesley Halcrow
  • Icard, Thomas Frederick, III
  • et al.
Creative Commons 'BY-NC-ND' version 4.0 license

This paper studies connections between two alternatives to the standard probability calculus for representing and reasoning about uncertainty: imprecise probability andcomparative probability. The goal is to identify complete logics for reasoning about uncertainty in a comparative probabilistic language whose semantics is given in terms of imprecise probability. Comparative probability operators are interpreted as quantifying over a set of probability measures. Modal and dynamic operators are added for reasoning about epistemic possibility and updating sets of probability measures.

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