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A natural conditional function (NCF) is a function from possible states of the world to natural numbers, representing the degrees of implausibility of the different states. This paper shows that the relation of conditional independence, when defined in terms of NCFs, has a natural representation in terms of influence diagrams. First it is shown that the relation of conditional independence relative to an NCF satisfies certain axioms for conditional independence (the graphoid axioms). Then it isdoi:10.1016/0888-613x(91)90026-i fatcat:mwtigwoogjfxtfa7pjku3z3axm