Learning ordered binary decision diagrams

We study the learnability of ordered binary decision diagrams (obdds). We give a polynomial-time algorithm using membership and equivalence queries that finds the minimum obdd for the target respecting a given ordering. We also prove that both types of queries and the restriction to a given ordering...

Descripción completa

Detalles Bibliográficos
Autores: Gavaldà Mestre, Ricard|||0000-0003-4736-7179, Guijarro Guillem, David
Tipo de recurso: informe técnico
Fecha de publicación:1995
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:2117/82261
Acceso en línea:https://hdl.handle.net/2117/82261
Access Level:acceso abierto
Palabra clave:Obdds
Ordered binary decision diagrams
Àrees temàtiques de la UPC::Informàtica
Descripción
Sumario:We study the learnability of ordered binary decision diagrams (obdds). We give a polynomial-time algorithm using membership and equivalence queries that finds the minimum obdd for the target respecting a given ordering. We also prove that both types of queries and the restriction to a given ordering are necessary if we want minimality in the output, unless P=NP. If learning has to occur with respect to the optimal variable ordering, polynomial-time learnability implies the approximability of two NP-hard optimization problems: the problem of finding the optimal variable ordering for a given obdd and the Optimal Linear Arrangement problem on graphs.