“…These conditions are not those that would be used in a real application, but they are simply defined, allow recognition systems to be evaluated over more than one condition of grammatical constraint, and they have been accepted as standards of comparisons. The degree of constraint provided by the grammar is measured by test set perplexity [7], or, the geometric mean of the number of words allowed by the grammar at each point in the test set, given the previous words. In the case of no grammatical constraint, any word can follow any other word and the perplexity is equal to the vocabulary size, in this case 1000.…”