Stochastic Methods for Generative Systems Analysis

  • Gabriel V. Orman
Conference paper
Part of the Studies in Classification, Data Analysis, and Knowledge Organization book series (STUDIES CLASS)


A very important part in the process of transmission of information is that of generation of the words. For some time past we tried to consider the process of generation of the words by generative systems, from a stochastic point of view involving Markov chains. Because the sequences of intermediate word (called derivations) by which a word can be generated are finite, it results that finite Markov chains will be connected to the process. In order to our discussion should be as general as possible we consider generative systems free of any restrictions. The model of such systems is offered by the most general class of formal grammars from the so-called Chomsky hierarchy, namely the phrase-structure grammars. The novelty that we have proposed consists in a new organization of the process of generation of the words by considering the set of all the derivations split into equivalence classes, each of them containing derivations of the same length. In this way our results are available up to an equivalence.


generative systems Markov chains transition matrix 


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Copyright information

© Springer-Verlag Berlin · Heidelberg 1998

Authors and Affiliations

  • Gabriel V. Orman
    • 1
  1. 1.Department of Mathematics“Transylvania” University of BrasovBrasovRomania

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