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CC
2004
Springer
134views System Software» more  CC 2004»
13 years 11 months ago
Widening Integer Arithmetic
Abstract. Some codes require computations to use fewer bits of precision than are normal for the target machine. For example, Java requires 32-bit arithmetic even on a 64-bit targe...
Kevin Redwine, Norman Ramsey
DIAGRAMS
2010
Springer
13 years 7 months ago
Heterogeneous Reasoning in Real Arithmetic
Abstract. Diagrams often complement sentential proofs in mathematics. However, diagrams are rarely used as standalone reasoning tools. Thus we propose to integrate diagrammatic rea...
Matej Urbas, Mateja Jamnik
AML
2007
77views more  AML 2007»
13 years 7 months ago
Complex analysis in subsystems of second order arithmetic
Abstract. This research is motivated by the program of Reverse Mathematics. We investigate basic part of complex analysis within some weak subsystems of second order arithmetic, in...
Keita Yokoyama
CASC
2010
Springer
153views Mathematics» more  CASC 2010»
13 years 4 months ago
Implementing Data Parallel Rational Multiple-Residue Arithmetic in Eden
Abstract. Residue systems present a well-known way to reduce computation cost for symbolic computation. However most residue systems are implemented for integers or polynomials. Th...
Oleg Lobachev, Rita Loogen
ANTS
2004
Springer
95views Algorithms» more  ANTS 2004»
13 years 11 months ago
Using Primitive Subgroups to Do More with Fewer Bits
Abstract. This paper gives a survey of some ways to improve the efficiency of discrete log-based cryptography by using the restriction of scalars and the geometry and arithmetic of...
Karl Rubin, Alice Silverberg