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» Uniform Heyting arithmetic
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FSTTCS
2010
Springer
13 years 5 months ago
Computing Rational Radical Sums in Uniform TC^0
A fundamental problem in numerical computation and computational geometry is to determine the sign of arithmetic expressions in radicals. Here we consider the simpler problem of d...
Paul Hunter, Patricia Bouyer, Nicolas Markey, Jo&e...
CIE
2007
Springer
14 years 1 months ago
The Complexity of Quickly ORM-Decidable Sets
Abstract. The Ordinal Register Machine (ORM) is one of several different machine models for infinitary computability. We classify, by complexity, the sets that can be decided quic...
Joel David Hamkins, David Linetsky, Russell G. Mil...
DAC
2005
ACM
14 years 8 months ago
MiniBit: bit-width optimization via affine arithmetic
MiniBit, our automated approach for optimizing bit-widths of fixed-point designs is based on static analysis via affine arithmetic. We describe methods to minimize both the intege...
Dong-U Lee, Altaf Abdul Gaffar, Oskar Mencer, Wayn...
JSC
2011
100views more  JSC 2011»
12 years 10 months ago
Toric forms of elliptic curves and their arithmetic
We scan a large class of one-parameter families of elliptic curves for efficient arithmetic. The construction of the class is inspired by toric geometry, which provides a natural ...
Wouter Castryck, Frederik Vercauteren
FCT
2009
Springer
14 years 1 months ago
Small-Space Analogues of Valiant's Classes
In the uniform circuit model of computation, the width of a boolean circuit exactly characterises the “space” complexity of the computed function. Looking for a similar relatio...
Meena Mahajan, B. V. Raghavendra Rao