Weighted derivation trees
Michael C. Loui · Communications of the ACM · 1976
The nodes of a weighted derivation tree are associated with weighting functions over the vocabulary of a context-free grammar. An algorithm is presented for constructing the optimal derivation tree having the same structure as a given weighted derivation tree. In addition, the correctness of the algorithm is established. The method may be applied to problems involving probabilistic parsing or combinatorial optimization.