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Title of Article

ON CONTINUATION PROBABILITIES OF DERIVATION TREES IN DECOMPOSABLE STOCHASTIC CONTEXT-FREE GRAMMARS. A SUBCRITICAL CASE


Issue
4
Date
2012

Article type
scientific article
UDC
519.713
Pages
217-224
Keywords
context-free language, stochastic context-free grammar, stochastic process, probability, derivation tree, matrix of first moments, Perron root


Authors
Zhiltsova Larisa Pavlovna
Nizhegorodskiy gosuniversitet im. N.I. Lobachevskogo


Abstract
A stochastic context-free grammar is considered which contains an arbitrary number of classes of nonterminal symbols without any restrictions on the order of the classes. The corresponding matrix A of the first moments is decomposable. In the case when the Perron root of matrix A is strictly less than 1, an asymptotics has been derived for continuation probabilities of derivation trees of context-free language words having a height more than t, at t ? ?.

File (in Russian)