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» An Independence Result for Intuitionistic Bounded Arithmetic
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82
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BSL
2000
153views more  BSL 2000»
14 years 11 months ago
Combinatorics with definable sets: Euler characteristics and Grothendieck rings
We recall the notions of weak and strong Euler characteristics on a first order structure and make explicit the notion of a Grothendieck ring of a structure. We define partially or...
Jan Krajícek, Thomas Scanlon
SAC
2006
ACM
14 years 11 months ago
Assisted verification of elementary functions using Gappa
The implementation of a correctly rounded or interval elementary function needs to be proven carefully in the very last details. The proof requires a tight bound on the overall er...
Florent de Dinechin, Christoph Quirin Lauter, Guil...
103
Voted
SIAMJO
2008
117views more  SIAMJO 2008»
14 years 11 months ago
Two Algorithms for the Minimum Enclosing Ball Problem
Given A := {a1, . . . , am} Rn and > 0, we propose and analyze two algorithms for the problem of computing a (1 + )-approximation to the radius of the minimum enclosing ball o...
E. Alper Yildirim
ISCC
2003
IEEE
15 years 4 months ago
Fair Noiseless Broadcast Source Coding
We present a noiseless source coding problem in a broadcast environment and supply a simple solution to this problem. A transmitter wishes to transmit a binary random vector Ò ½...
Serdar Boztas
FOCS
2009
IEEE
15 years 6 months ago
Linear Systems over Composite Moduli
We study solution sets to systems of generalized linear equations of the form ℓi(x1, x2, · · · , xn) ∈ Ai (mod m) where ℓ1, . . . , ℓt are linear forms in n Boolean var...
Arkadev Chattopadhyay, Avi Wigderson