On the asymptotic enumeration of accessible automata


Autoria(s): LEBENSZTAYN, Elcio
Contribuinte(s)

UNIVERSIDADE DE SÃO PAULO

Data(s)

19/04/2012

19/04/2012

2010

Resumo

We simplify the known formula for the asymptotic estimate of the number of deterministic and accessible automata with n states over a k-letter alphabet. The proof relies on the theory of Lagrange inversion applied in the context of generalized binomial series.

CNPq[311909/2009-4]

Identificador

DISCRETE MATHEMATICS AND THEORETICAL COMPUTER SCIENCE, v.12, n.3, p.75-79, 2010

1365-8050

http://producao.usp.br/handle/BDPI/16711

http://www.dmtcs.org/dmtcs-ojs/index.php/dmtcs/article/view/1517/3253

Idioma(s)

eng

Publicador

DISCRETE MATHEMATICS THEORETICAL COMPUTER SCIENCE

Relação

Discrete Mathematics and Theoretical Computer Science

Direitos

openAccess

Copyright DISCRETE MATHEMATICS THEORETICAL COMPUTER SCIENCE

Palavras-Chave #asymptotic enumeration #finite automata #Lagrange series #generalized binomial series #Computer Science, Software Engineering #Mathematics, Applied #Mathematics
Tipo

article

original article

publishedVersion