Computing the canonical representation of constructible sets

Constructible sets are needed in many algorithms of Computer Algebra, particularly in the GröbnerCover and other algorithms for parametric polynomial systems. In this paper we review the canonical form ofconstructible sets and give algorithms for computing it.

Detalles Bibliográficos
Autores: Brunat Blay, Josep Maria|||0000-0003-3636-4802, Montes Lozano, Antonio
Tipo de recurso: artículo
Fecha de publicación:2016
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:2117/100350
Acceso en línea:https://hdl.handle.net/2117/100350
https://dx.doi.org/10.1007/s11786-016-0248-2
Access Level:acceso abierto
Palabra clave:Constructibility (Set theory)
Canonical representation
Comprehensive Gröbner system
Constructible sets
Gröbner Cover
Locally closed sets
Parametric polynomial system
Constructibilitat (Teoria de conjunts)
Àrees temàtiques de la UPC::Informàtica::Aplicacions de la informàtica
Descripción
Sumario:Constructible sets are needed in many algorithms of Computer Algebra, particularly in the GröbnerCover and other algorithms for parametric polynomial systems. In this paper we review the canonical form ofconstructible sets and give algorithms for computing it.