Generalized and/or graphs

摘要

A generalization of AND/OR graphs is introduced as a problem solving model, in which subproblem interdependence in problem reduction can be explicitly accounted for. An ordered-search algorithm is given to find a solution. The algorithm is proven to be admissible and optimal. Examples are given which show the application of the formalism to problems which cannot be modelled by AND/OR graphs. Generalized AND/OR graphs are finally shown to be equivalent to type O grammars. Finding a solution of a generalized AND/OR graph is shown to be equivalent to deriving a sentence in the corresponding type O grammar.