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In 1985, Doignon and Falmagne introduced surmise relations for representing prerequisite relationships between items within a body of information for the assessment of knowledge. Often it is useful to partition such a body of information into sub-collections. As we are primarily interested in psychological applications, we refer to these sub-collections as(More)
De Villiers (Lingua, 2007, Vol. 117, pp. 1858-1878) and others have claimed that children come to understand false belief as they acquire linguistic constructions for representing a proposition and the speaker's epistemic attitude toward that proposition. In the current study, English-speaking children of 3 and 4years of age (N=64) were asked to interpret(More)
This paper investigates natural, left-, right-, and total-covering test surmise relations on a set of tests partitioning the domain of a knowledge structure. The properties of reflexivity, transitivity, and antisymmetry are examined. In particular, it is shown that the property of antisymmetry is satisfied for the left-, right-, and total-covering test(More)
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