Title
An incremental algorithm to construct a lattice of set intersections
Abstract
An incremental algorithm to construct a lattice from a collection of sets is derived, refined, analyzed, and related to a similar previously published algorithm for constructing concept lattices. The lattice constructed by the algorithm is the one obtained by closing the collection of sets with respect to set intersection. The analysis explains the empirical efficiency of the related concept lattice construction algorithm that had been observed in previous studies. The derivation highlights the effectiveness of a correctness-by-construction approach to algorithm development.
Year
DOI
Venue
2009
10.1016/j.scico.2008.09.015
Sci. Comput. Program.
Keywords
Field
DocType
related concept lattice construction,incremental algorithm,previous study,correctness by construction,closure system,set intersection,empirical efficiency,concept lattice,correctness-by-construction approach
Intersection (set theory),Ramer–Douglas–Peucker algorithm,Lattice (order),Computer science,Algorithm,Lattice reduction
Journal
Volume
Issue
ISSN
74
3
Science of Computer Programming
Citations 
PageRank 
References 
23
0.78
16
Authors
4
Name
Order
Citations
PageRank
Derrick G. Kourie122333.10
Sergei Obiedkov21487.66
Bruce W. Watson333853.24
Dean van der Merwe4883.85