Succinct circuit representations and leaf languages are basically the same concept

This paper connects two topics of Complexity Theory: The topic of succinct circuit representations initiated by Galperin and Wigderson, and the topic of leaf languages. A Boolean circuit c describes in a natural way the word given by the result column in the truth table representation. This way, eac...

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Detalles Bibliográficos
Autores: Borchert, Bernd, Lozano Boixadors, Antoni|||0000-0002-3633-063X
Tipo de recurso: informe técnico
Fecha de publicación:1996
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:2117/97245
Acceso en línea:https://hdl.handle.net/2117/97245
Access Level:acceso abierto
Palabra clave:Complexity Theory
Succinct circuit representations
Leaf languages
Àrees temàtiques de la UPC::Informàtica::Informàtica teòrica
Descripción
Sumario:This paper connects two topics of Complexity Theory: The topic of succinct circuit representations initiated by Galperin and Wigderson, and the topic of leaf languages. A Boolean circuit c describes in a natural way the word given by the result column in the truth table representation. This way, each language A determines its succinct version S(A). It is shown for any language A that its succinct version S(A) is polynomial-time many-one complete for the leaf language defined by A. Also it is shown that if one uses for the succinct version branching programs instead of circuits then one will get complete problems for logspace classes.