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» Implementing Real Numbers With RZ
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TPHOL
2005
IEEE
13 years 11 months ago
Real Number Calculations and Theorem Proving
Wouldn’t it be nice to be able to conveniently use ordinary real number expressions within proof assistants? In this paper we outline how this can be done within a theorem provin...
César Muñoz, David Lester
MST
2008
150views more  MST 2008»
13 years 5 months ago
Coinduction for Exact Real Number Computation
This paper studies coinductive representations of real numbers by signed digit streams and fast Cauchy sequences. It is shown how the associated coinductive principle can be used ...
Ulrich Berger, Tie Hou
TCS
2008
13 years 5 months ago
Real algebraic numbers and polynomial systems of small degree
We present exact and complete algorithms based on precomputed Sturm-Habicht sequences, discriminants and invariants, that classify, isolate with rational points and compare the re...
Ioannis Z. Emiris, Elias P. Tsigaridas
ISSAC
1992
Springer
95views Mathematics» more  ISSAC 1992»
13 years 9 months ago
Real Algebraic Closure of an Ordered Field: Implementation in Axiom
Real algebraic numbers appear in many Computer Algebra pro bJems. For inst ante the determination of a cylindrical algebraic decomposition for an euclidian space requires compu ti...
Renaud Rioboo
CHES
2011
Springer
276views Cryptology» more  CHES 2011»
12 years 5 months ago
FPGA-Based True Random Number Generation Using Circuit Metastability with Adaptive Feedback Control
Abstract. The paper presents a novel and efficient method to generate true random numbers on FPGAs by inducing metastability in bi-stable circuit elements, e.g. flip-flops. Meta...
Mehrdad Majzoobi, Farinaz Koushanfar, Srinivas Dev...