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CORR
2008
Springer
105views Education» more  CORR 2008»
13 years 10 months ago
Certifying floating-point implementations using Gappa
High confidence in floating-point programs requires proving numerical properties of final and intermediate values. One may need to guarantee that a value stays within some range, ...
Florent de Dinechin, Christoph Quirin Lauter, Guil...
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CORR
2007
Springer
124views Education» more  CORR 2007»
13 years 10 months ago
Interpolation in Valiant's theory
We investigate the following question: if a polynomial can be evaluated at rational points by a polynomial-time boolean algorithm, does it have a polynomial-size arithmetic circuit...
Pascal Koiran, Sylvain Perifel
COMPGEOM
2004
ACM
14 years 3 months ago
The geometric thickness of low degree graphs
We prove that the geometric thickness of graphs whose maximum degree is no more than four is two. In our proofs, we present a space and time efficient embedding technique for gra...
Christian A. Duncan, David Eppstein, Stephen G. Ko...
CALC
2001
Springer
161views Cryptology» more  CALC 2001»
14 years 2 months ago
The Shortest Vector Problem in Lattices with Many Cycles
In this paper we investigate how the complexity of the shortest vector problem in a lattice Λ depends on the cycle structure of the additive group Zn /Λ. We give a proof that the...
Mårten Trolin
CSL
2001
Springer
14 years 2 months ago
On a Generalisation of Herbrand's Theorem
In this paper we investigate the purely logical rule of term induction, i.e. induction deriving numerals instead of arbitrary terms. In this system it is not possible to bound the ...
Matthias Baaz, Georg Moser