Group in Logic and the Methodology of Science
Logics of Imprecise Comparative Probability
- Author(s): Ding, Yifeng
- Holliday, Wesley Halcrow
- Icard, Thomas Frederick, III
- et al.
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.