On Minimal Constraint Networks

In a minimal binary constraint network, every tuple of a constraint relation can be extended to a solution. It was conjectured that computing a solution to such a network is NP hard. We prove this conjecture. We also prove a conjecture by Dechter and Pearl stating that for k ≥ 2 it is NP-hard to dec...

Volledige beschrijving

Bibliografische gegevens
Hoofdauteur: Gottlob, G
Formaat: Conference item
Gepubliceerd in: Perugia‚ Italy 2011
_version_ 1826299766986768384
author Gottlob, G
author_facet Gottlob, G
author_sort Gottlob, G
collection OXFORD
description In a minimal binary constraint network, every tuple of a constraint relation can be extended to a solution. It was conjectured that computing a solution to such a network is NP hard. We prove this conjecture. We also prove a conjecture by Dechter and Pearl stating that for k ≥ 2 it is NP-hard to decide whether a constraint network can be decomposed into an equivalent k-ary constraint network, and study related questions.
first_indexed 2024-03-07T05:06:56Z
format Conference item
id oxford-uuid:da3fb72f-a10b-41fc-8d8e-a28e5fb45c40
institution University of Oxford
last_indexed 2024-03-07T05:06:56Z
publishDate 2011
publisher Perugia‚ Italy
record_format dspace
spelling oxford-uuid:da3fb72f-a10b-41fc-8d8e-a28e5fb45c402022-03-27T09:01:48ZOn Minimal Constraint NetworksConference itemhttp://purl.org/coar/resource_type/c_5794uuid:da3fb72f-a10b-41fc-8d8e-a28e5fb45c40Department of Computer SciencePerugia‚ Italy2011Gottlob, GIn a minimal binary constraint network, every tuple of a constraint relation can be extended to a solution. It was conjectured that computing a solution to such a network is NP hard. We prove this conjecture. We also prove a conjecture by Dechter and Pearl stating that for k ≥ 2 it is NP-hard to decide whether a constraint network can be decomposed into an equivalent k-ary constraint network, and study related questions.
spellingShingle Gottlob, G
On Minimal Constraint Networks
title On Minimal Constraint Networks
title_full On Minimal Constraint Networks
title_fullStr On Minimal Constraint Networks
title_full_unstemmed On Minimal Constraint Networks
title_short On Minimal Constraint Networks
title_sort on minimal constraint networks
work_keys_str_mv AT gottlobg onminimalconstraintnetworks