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» Arbitrary Precision Arithmetic - SIMD Style
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COMPGEOM
1998
ACM
13 years 9 months ago
Interval Arithmetic Yields Efficient Dynamic Filters for Computational Geometry
We discuss floating-point filters as a means of restricting the precision needed for arithmetic operations while still computing the exact result. We show that interval techniques...
Hervé Brönnimann, Christoph Burnikel, ...
CORR
2010
Springer
118views Education» more  CORR 2010»
13 years 5 months ago
alphaCertified: certifying solutions to polynomial systems
Smale's -theory uses estimates related to the convergence of Newton's method to give criteria implying that Newton iterations will converge quadratically to solutions to ...
Jonathan D. Hauenstein, Frank Sottile
ISOLA
2010
Springer
13 years 4 months ago
A Memory Model for Static Analysis of C Programs
Automatic bug finding with static analysis requires precise tracking of different memory object values. This paper describes a memory modeling method for static analysis of C pro...
Zhongxing Xu, Ted Kremenek, Jian Zhang
ESORICS
2004
Springer
13 years 11 months ago
A Cryptographically Sound Dolev-Yao Style Security Proof of the Otway-Rees Protocol
We present the first cryptographically sound security proof of the well-known Otway-Rees protocol. More precisely, we show that the protocol is secure against arbitrary active att...
Michael Backes
DAC
2008
ACM
14 years 6 months ago
The synthesis of robust polynomial arithmetic with stochastic logic
As integrated circuit technology plumbs ever greater depths in the scaling of feature sizes, maintaining the paradigm of deterministic Boolean computation is increasingly challeng...
Weikang Qian, Marc D. Riedel