Nonuniform complexity classes specified by lower and upper bounds

We characterize in terms of oracle Turing machines the classes defined by exponential lower bounds on some nonuniform complexity measures. After, we use the same methods to giue a new characterization of classes defined by polynomial and polylog upper bounds, obtaining an unified approach to deal wi...

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Detalles Bibliográficos
Autores: Balcázar Navarro, José Luis|||0000-0003-4248-4528, Gabarró Vallès, Joaquim|||0000-0003-3771-2813
Tipo de recurso: artículo
Fecha de publicación:1989
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/104347
Acceso en línea:https://hdl.handle.net/2117/104347
https://dx.doi.org/10.1051/ita/1989230201771
Access Level:acceso abierto
Palabra clave:Complexity, Computational
Complexitat computacional
Àrees temàtiques de la UPC::Informàtica::Informàtica teòrica::Algorísmica i teoria de la complexitat
Descripción
Sumario:We characterize in terms of oracle Turing machines the classes defined by exponential lower bounds on some nonuniform complexity measures. After, we use the same methods to giue a new characterization of classes defined by polynomial and polylog upper bounds, obtaining an unified approach to deal with upper and lower bounds, The main measures are the initial index, the context-free cosU ond the boolean circuits size. We interpret our results by discussing a trade- off between oracle information and computed information for oracle Turing machines.