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Generating Strings at Random from a Context Free Grammar

By Bruce McKenzie

Abstract

Given a context free grammar #CFG# G and an integer n #= 0 we present an algorithm for generating strings derivable from the grammar of length n such that all strings of length n are equally likely. The algorithm requires a pre-processing stage which calculates the number of strings of length k#= n derivable from each postfix # where A ! ## is a production from the grammar. This step requires O#n 2 # time and O#n 2 # space. The subsequent string generation step uses these counts to generate a string in O#n# time and O#n# space

Topics: Key words, Analysis of algorithms, Context-free languages, Uniform random
Year: 1997
OAI identifier: oai:CiteSeerX.psu:10.1.1.32.8707
Provided by: CiteSeerX
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