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Determination of Probabilistic Grammars for Functionally Specified Probability-Measure Languages

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1 Author(s)
Thompson, R.A. ; Department of Electrical Engineering, Virginia Polytechnic Institute and State University

The nature of probability-measure languages (pm-languages) has been investigated [2], [3], [7], [8], in particular, those languages generated by given probabilistic grammars (p-grammars). However, the determination of a p-grammar that can generate some given language has been an open question. Since languages are infinite in general, the specification of a pm-language is vague. In this paper, it is assumed that some finite representation exists for the set of words (this can be a nonprobabilistic grammar) and that the probability of each word in the language is computable by some word function whose domain is the language.

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Computers, IEEE Transactions on  (Volume:C-23 ,  Issue: 6 )