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We study the class of problems where Solutions Spaces are specified by combinatorial Game Trees. A version of Botvinnik's Intermediate Goals At First (IGAF) algorithm is developed for strategy formation based on common knowledge planning and dynamic plan testing in the corresponding game tree. The algorithm (1) includes a range of knowledge types in the form of goals and rules, (2) demonstrates a strong tendency to increase strategy formation efficiency, and (3) increases the amount of knowledge available to the system.
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