Applying Probability Measures to Abstract Languages

  • Authors:
  • T. L. Booth;R. A. Thompson

  • Affiliations:
  • Computer Science Group, Department of Electrical Engineering, University of Connecticut;-

  • Venue:
  • IEEE Transactions on Computers
  • Year:
  • 1973

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Abstract

The problem of assigning a probability to each word of a language is considered. Two methods are discussed. One method assigns a probability to a word on the basis of particular measurable features of the language. The second method is applied to languages L(G) generated by a grammar G. A probability is associated with each production of G. These in turn define the word probabilities of each word in the language. The conditions for this assignment to be a probabilistic measure are derived.