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» Partitioning into Sets of Bounded Cardinality
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POPL
2009
ACM
14 years 6 months ago
A combination framework for tracking partition sizes
ibe an abstract interpretation based framework for proving relationships between sizes of memory partitions. Instances of this framework can prove traditional properties such as m...
Sumit Gulwani, Tal Lev-Ami, Mooly Sagiv
CPAIOR
2007
Springer
14 years 5 days ago
Generalizations of the Global Cardinality Constraint for Hierarchical Resources
Abstract. We propose generalizations of the Global Cardinality Constraint (gcc) in which a partition of the variables is given. In the context of resource allocation problems, such...
Alessandro Zanarini, Gilles Pesant
CORR
2004
Springer
176views Education» more  CORR 2004»
13 years 5 months ago
The First-Order Theory of Sets with Cardinality Constraints is Decidable
Data structures often use an integer variable to keep track of the number of elements they store. An invariant of such data structure is that the value of the integer variable is ...
Viktor Kuncak, Martin C. Rinard
CPC
2008
66views more  CPC 2008»
13 years 6 months ago
B2[ g] Sets and a Conjecture of Schinzel and Schmidt
A set of integers A is called a B2[g] set if every integer m has at most g representations of the form m = a + a , with a a and a, a A. We obtain a new lower bound for F(g, n), t...
Javier Cilleruelo, Carlos Vinuesa
DCG
1999
58views more  DCG 1999»
13 years 5 months ago
Nonexistence of Certain Spherical Designs of Odd Strengths and Cardinalities
A spherical -design on Sn-1 is a finite set such that, for all polynomials f of degree at most , the average of f over the set is equal to the average of f over the sphere Sn-1 . ...
Peter Boyvalenkov, Danyo Danev, Svetla Nikova