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ENDM
2007
96views more  ENDM 2007»
13 years 7 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»
13 years 9 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
13 years 11 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»
11 years 9 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
13 years 11 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