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.

Bibliographic Details
Authors: Brunat Blay, Josep Maria|||0000-0003-3636-4802, Montes Lozano, Antonio
Format: article
Publication Date:2016
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:2117/100350
Online Access:https://hdl.handle.net/2117/100350
https://dx.doi.org/10.1007/s11786-016-0248-2
Access Level:Open access
Keyword: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
Description
Summary: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.