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» On sets not belonging to algebras
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SIGSOFT
2005
ACM
14 years 8 months ago
Relational analysis of algebraic datatypes
We present a technique that enables the use of finite model finding to check the satisfiability of certain formulas whose intended models are infinite. Such formulas arise when us...
Viktor Kuncak, Daniel Jackson
ORDER
2006
128views more  ORDER 2006»
13 years 7 months ago
Algebras Defined from Ordered Sets and the Varieties they Generate
We investigate ways of representing ordered sets as algebras and how the order relation is reflected in the algebraic properties of the variety (equational class) generated by the...
Joel Berman, Willem J. Blok
PODS
2005
ACM
118views Database» more  PODS 2005»
14 years 7 months ago
On the complexity of division and set joins in the relational algebra
We show that any expression of the relational division operator in the relational algebra with union, difference, projection, selection, constant-tagging, and joins, must produce ...
Dirk Leinders, Jan Van den Bussche
COMPGEOM
2006
ACM
14 years 1 months ago
Minimum-cost coverage of point sets by disks
We consider a class of geometric facility location problems in which the goal is to determine a set X of disks given by their centers (tj) and radii (rj) that cover a given set of...
Helmut Alt, Esther M. Arkin, Hervé Brö...
TCS
2008
13 years 7 months ago
A finite set of functions with an EXPTIME-complete composition problem
We exhibit a finite family of functions over a finite set (i.e. a finite algebra) such that the problem whether a given function can be obtained as a composition of the members of ...
Marcin Kozik