Probabilistic Knowledge Spaces: A Review
This paper outlines the essential ideas of a theory for the efficient assessment of knowledge. The key concept is that of a knowledge space, that is, a basic set Q of questions or problems in a given domain of information, equipped with a distinguished family K of subsets. The family K is assumed to be closed under union, and its elements are knowledge states. The equivalence between this concept and other useful ones is spelled out. A practical implementation of computerized, robust knowledge assessment devices requires a probabilistic framework. These developments are also briefly summarized. All the results have been presented at length elsewhere, and are either in press or published.
KeywordsKnowledge State Probabilistic Framework Hasse Diagram Galois Connection Knowledge Space
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