The Structure of logarithmic advice complexity classes

A nonuniform class called here Full-P/log, due to Ko, is studied. It corresponds to polynomial time with logarithmically long advice. Its importance lies in the structural properties it enjoys, more interesting than those of the alternative class P/log; specifically, its introduction was motivated b...

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Detalles Bibliográficos
Autores: Balcázar Navarro, José Luis|||0000-0003-4248-4528, Hermo Huguet, Montserrat
Tipo de recurso: informe técnico
Fecha de publicación:1997
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:2117/83516
Acceso en línea:https://hdl.handle.net/2117/83516
Access Level:acceso abierto
Palabra clave:Complexity
Nonuniform complexity classes
Àrees temàtiques de la UPC::Informàtica::Informàtica teòrica
Descripción
Sumario:A nonuniform class called here Full-P/log, due to Ko, is studied. It corresponds to polynomial time with logarithmically long advice. Its importance lies in the structural properties it enjoys, more interesting than those of the alternative class P/log; specifically, its introduction was motivated by the need of a logarithmic advice class closed under polynomial-time deterministic reductions. Several characterizations of Full-P/log are shown, formulated in terms of various sorts of tally sets with very small information content. A study of its inner structure is presented, by considering the most usual reducibilities and looking for the relationships among the corresponding reduction and equivalence classes defined from these special tally sets.