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Author Studeny, Milan
Source CiteSeerX
Content type Text
File Format PDF
Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science
Subject Keyword Conditional Independence ♦ Natural Conditional Function ♦ Ci Model ♦ Marginal Problem ♦ Central Concept ♦ Natural Number ♦ Basic Property ♦ Simple Deductive System ♦ Finite Complete Axiomatic Characterization ♦ Ci Statement ♦ Possible State ♦ Deterministic Epistemology ♦ Axiomatic Characterization ♦ Intersection Property ♦ Stochastic Ci ♦ Last Part
Abstract In this paper the concept of conditional independence (CI) within the framework of natural conditional functions (NCF) is studied. An NCF is a function ascribing natural numbers to possible states of the world; it is the central concept of Spohn's theory of deterministic epistemology. Basic properties of CI within this framework are recalled and further results analogical to the results concerning stochastic CI are proved. Firstly, the intersection of two CI--models is shown to be a CI--model. Using this it is proved that CI--models for NCFs have no finite complete axiomatic characterization (by means of a simple deductive system describing relationships among CI--statements). The last part is devoted to the marginal problem for NCFs where it is shown that the (pairwise) consonancy is equivalent to the consistency iff the running intersection property holds. KEYWORDS: natural conditional function, conditional independence, axiomatic characterization, marginal problem, running intersect...
Educational Role Student ♦ Teacher
Age Range above 22 year
Educational Use Research
Education Level UG and PG ♦ Career/Technical Study
Learning Resource Type Article