A Property of Independency Relations Induced by Probabilistic Distributions with Binary Variables

Authors:
Azaria Paz
Affiliations:
Technion IIT HAIFA and The Netanya Academic College, Israel. E-mail: paz@cs.technion.ac.il
Venue:
Fundamenta Informaticae - SPECIAL ISSUE ON TRAJECTORIES OF LANGUAGE THEORY Dedicated to the memory of Alexandru Mateescu
Year:
2006

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Abstract

The relationship between graphoid independency relations (defined in the text) and such relations induced by Probabilistic Distributions (PD) with binary random variables is investigated. It is shown that there are axioms that are sound for a subset of PD-induced relations with binary variables and are independent of the Graphoid axioms (cannot be logically derived from those axioms).