Kolmogorov complexity of #P functions

Are the outputs of #P functions "random"? We way phrase this question more precisely: are there #P functions whose outputs cannot in general be compressed into a string of small length, and recovered quickly from that string, also given the input as additional information? We prove that th...

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Detalles Bibliográficos
Autores: Green, Frederic, Torán Romero, Jacobo
Tipo de recurso: informe técnico
Fecha de publicación:1991
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:2117/328177
Acceso en línea:https://hdl.handle.net/2117/328177
Access Level:acceso abierto
Palabra clave:Polynomials
Polinomis
Àrees temàtiques de la UPC::Informàtica
Descripción
Sumario:Are the outputs of #P functions "random"? We way phrase this question more precisely: are there #P functions whose outputs cannot in general be compressed into a string of small length, and recovered quickly from that string, also given the input as additional information? We prove that the answer to this question is "yes" if and only if P ¿ PP.