Non recursive functions have transcendental generating functions

Proves that nonprimitive recursive functions have transcendental generating series. This result translates a certain measure of the complexity of a function, the fact of not being primitive recursive, into another measure of the complexity of the generating series associated to the function, the fac...

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Detalhes bibliográficos
Autores: Cucker Farkas, Juan Felipe, Gabarró Vallès, Joaquim|||0000-0003-3771-2813
Formato: artículo
Fecha de publicación:1989
País:España
Recursos:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/104671
Acesso em linha:https://hdl.handle.net/2117/104671
Access Level:acceso abierto
Palavra-chave:Complexity, Computational
Function complexity measures
Nonrecursive functions
Transcendental generating series
Nonprimitive recursive functions
Complexitat computacional
Àrees temàtiques de la UPC::Informàtica::Informàtica teòrica::Algorísmica i teoria de la complexitat
Descrição
Resumo:Proves that nonprimitive recursive functions have transcendental generating series. This result translates a certain measure of the complexity of a function, the fact of not being primitive recursive, into another measure of the complexity of the generating series associated to the function, the fact of being transcendental.