## Conditional Inference and Logic for Intelligent Systems: A Theory of Measure-Free Conditioning |

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### Contents

A SURVEY OF PREVIOUS WORK ON CONDITIONAL EVENTS | 13 |

DERIVATION OF CONDITIONAL EVENTS | 43 |

LOGICAL OPERATIONS ON CONDITIONAL EVENTS | 57 |

Copyright | |

7 other sections not shown

### Common terms and phrases

a|ft Adams algebraic structure axioms basic belief functions binary operation Boolean algebra Boolean ring c'd V bd Calabrese Chapter classical two-valued logic commutative concept conditional Boolean polynomial conditional events conditional logic conditional probability conditional probability logic conjunction consider copula corresponding cosets cosets of principal defined denoted disjunction element entailment relation equivalent evaluation example extended finite fuzzy conditionals fuzzy logic fuzzy sets given Hailperin homomorphism indicator function induced isomorphism lattice Lemma logical operations material implication mathematical maximal filter measure-free conditioning MV-algebra non-monotonic Note one-to-one operations on R\R P(ab partial order partition principal ideals probabilistic probability measure problem Proof properties quotient ring R/Rb random set regular rings satisfy Schay Schay's Section 3.4 semantic Sobocinski's space R\R Stone algebra subsets tautology three-valued logic Triviality Result truth space truth tables truth values uncertainty measures