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...

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Bibliographic Details
Authors: Gavaldà Mestre, Ricard|||0000-0003-4736-7179; Guijarro Guillem, David
Format: Report
Publication date:1995
Country:España
Institution:Universitat Politècnica de Catalunya (UPC)
Repository:UPCommons. Portal del coneixement obert de la UPC
Language:English
OAI Identifier:oai:upcommons.upc.edu:2117/82261
Online Access:https://hdl.handle.net/2117/82261
Access Level:Open access
Keyword:Obdds
Ordered binary decision diagrams
Àrees temàtiques de la UPC::Informàtica
Description
Summary: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.