A Theory of Conditional Information with Applications.
Abstract
The development of conditional propositions, deduction between conditionals, and boolean-like operations on conditionals, and their associated probabilities are here unified in terms of boolean relations of the form B = O defined on an initially relation-free algebra of boolean polynomials that transcend an initial domain of discourse. The conditional proposition (a/b) is assigned the conditional probability P(a/b), which is different from the probability that (a/b) is a tautology. The resulting algebraic techniques and demonstrated in several examples such as by simplifying a circular rule-based expert system and removing its circularity and by deriving logical and probability formulas for keeping communication lines open.
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 1994
- Accession Number
- ADA278164
Entities
People
- P. G. Calabrese
Organizations
- Naval Command, Control and Ocean Surveillance Center