A strongly polynomial algorithm for criticality of branching processes and consistency of stochastic context-free grammars

We provide a strongly polynomial algorithm for determining whether a given multi-type branching process is subcritical, critical, or supercritical. The same algorithm also decides consistency of stochastic context-free grammars. •We provide the first strongly polynomial algorithm for criticality of...

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Vydané v:Information processing letters Ročník 113; číslo 10-11; s. 381 - 385
Hlavní autori: Esparza, Javier, Gaiser, Andreas, Kiefer, Stefan
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Amsterdam Elsevier B.V 01.05.2013
Elsevier Sequoia S.A
Predmet:
Algorithms
Branching processes
Computer science
Exact matrix computations
Polynomials
Stochastic context-free grammars
Stochastic models
Studies
Exact matrix computations
Algorithms
Branching processes
Stochastic context-free grammars
ISSN:0020-0190, 1872-6119
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Shrnutí:We provide a strongly polynomial algorithm for determining whether a given multi-type branching process is subcritical, critical, or supercritical. The same algorithm also decides consistency of stochastic context-free grammars. •We provide the first strongly polynomial algorithm for criticality of branching processes.•The same algorithm decides consistency of stochastic context-free grammars.•We apply the algorithm to a problem of nuclear physics.
Bibliografia:SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 14
ISSN:0020-0190
1872-6119
DOI:10.1016/j.ipl.2013.02.015