Title
Horn versus full first-order: Complexity dichotomies in algebraic constraint satisfaction.
Abstract
We study techniques for deciding the computational complexity of infinite-domain constraint satisfaction problems. For certain basic algebraic structures Δ, we prove definability theorems of the following form: for every first-order expansion Γ of Δ, either Γ has a quantifier-free Horn definition in Δ, or there is an element d of Γ such that all non-empty relations in Γ contain a tuple of the form...
Year
DOI
Venue
2012
10.1093/logcom/exr011
Journal of Logic and Computation
Keywords
Field
DocType
Constraint satisfaction problems,complexity dichotomy,primitive positive definability,linear program feasibility,linear programming
Discrete mathematics,Combinatorics,Algebraic number,Tuple,Algebraic structure,Constraint graph,Algorithm,Constraint satisfaction problem,Complexity of constraint satisfaction,Constraint satisfaction dual problem,Constraint logic programming,Mathematics
Journal
Volume
Issue
ISSN
22
3
0955-792X
Citations 
PageRank 
References 
4
0.44
0
Authors
3
Name
Order
Citations
PageRank
Manuel Bodirsky164454.63
Peter Jonsson2236.80
Timo Von Oertzen3717.84