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ENDM
2007
96views more  ENDM 2007»
14 years 11 months ago
Sub-Ramsey Numbers for Arithmetic Progressions and Schur Triples
For a given positive integer k, sr(m, k) denotes the minimal positive integer such that every coloring of [n], n ≥ sr(m, k), that uses each color at most k times, yields a rainb...
Jacob Fox, Veselin Jungic, Rados Radoicic
CAV
2008
Springer
158views Hardware» more  CAV 2008»
15 years 1 months ago
Linear Arithmetic with Stars
We consider an extension of integer linear arithmetic with a "star" operator takes closure under vector addition of the solution set of a linear arithmetic subformula. We...
Ruzica Piskac, Viktor Kuncak
LICS
1997
IEEE
15 years 3 months ago
Semantics of Exact Real Arithmetic
In this paper, we incorporate a representation of the non-negative extended real numbers based on the composition of linear fractional transformations with nonnegative integer coe...
Peter John Potts, Abbas Edalat, Martín H&ou...
SODA
2012
ACM
235views Algorithms» more  SODA 2012»
13 years 2 months ago
Fast zeta transforms for lattices with few irreducibles
We investigate fast algorithms for changing between the standard basis and an orthogonal basis of idempotents for M¨obius algebras of finite lattices. We show that every lattice...
Andreas Björklund, Mikko Koivisto, Thore Husf...
FOCS
2000
IEEE
15 years 4 months ago
Computing the Determinant and Smith Form of an Integer Matrix
A probabilistic algorithm is presented to find the determinant of a nonsingular, integer matrix. For a matrix A ¡£¢ n¤ n the algorithm requires O¥ n3¦5 ¥ logn§ 4¦5§ bit...
Wayne Eberly, Mark Giesbrecht, Gilles Villard