A first-order isomorphism theorem

We show that for most complexity classes of interest, all sets complete under first-order projections are isomorphic under first-order isomorphisms. That is, a very restricted version of the Berman-Hartmanis Conjecture holds.

Detalhes bibliográficos
Autores: Allender, Eric, Balcázar Navarro, José Luis|||0000-0003-4248-4528, Immerman, Neil
Formato: informe técnico
Fecha de publicación:1992
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:2117/370609
Acesso em linha:https://hdl.handle.net/2117/370609
Access Level:acceso abierto
Palavra-chave:Isomorphisms (Mathematics)
Computational complexity
Isomorfismes (Matemàtica)
Complexitat computacional
Àrees temàtiques de la UPC::Informàtica
Descrição
Resumo:We show that for most complexity classes of interest, all sets complete under first-order projections are isomorphic under first-order isomorphisms. That is, a very restricted version of the Berman-Hartmanis Conjecture holds.