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CORR
2007
Springer
124views Education» more  CORR 2007»
14 years 9 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
ICA3PP
2010
Springer
15 years 2 months ago
Modular Resultant Algorithm for Graphics Processors
Abstract. In this paper we report on the recent progress in computing bivariate polynomial resultants on Graphics Processing Units (GPU). Given two polynomials in Z[x, y], our algo...
Pavel Emeliyanenko
CADE
2009
Springer
15 years 4 months ago
Interpolant Generation for UTVPI
Abstract. The problem of computing Craig interpolants in SMT has recently received a lot of interest, mainly for its applications in formal verification. Efficient algorithms for ...
Alessandro Cimatti, Alberto Griggio, Roberto Sebas...
IACR
2011
124views more  IACR 2011»
13 years 9 months ago
Group Law Computations on Jacobians of Hyperelliptic Curves
We derive an explicit method of computing the composition step in Cantor’s algorithm for group operations on Jacobians of hyperelliptic curves. Our technique is inspired by the g...
Craig Costello, Kristin Lauter
JCAM
2010
108views more  JCAM 2010»
14 years 4 months ago
Lattices on simplicial partitions
In this paper, (d + 1)-pencil lattices on simplicial partitions in Rd are studied. The barycentric approach naturally extends the lattice from a simplex to a simplicial partition,...
Gasper Jaklic, Jernej Kozak, Marjeta Krajnc, Vito ...