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AML
2010
87views more  AML 2010»
14 years 11 months ago
On the form of witness terms
We investigate the development of terms during cut-elimination in first-order logic and Peano arithmetic for proofs of existential formulas. The form of witness terms in cut-free p...
Stefan Hetzl
SAS
2007
Springer
15 years 5 months ago
Semantics-Based Transformation of Arithmetic Expressions
Floating-point arithmetic is an important source of errors in programs because of the loss of precision arising during a computation. Unfortunately, this arithmetic is not intuitiv...
Matthieu Martel

Presentation
439views
13 years 5 months ago
Efficient Evaluation Methods of Elementary Functions Suitable for SIMD Computation
Data-parallel architectures like SIMD (Single Instruction Multiple Data) or SIMT (Single Instruction Multiple Thread) have been adopted in many recent CPU and GPU architectures. Al...
SAC
2006
ACM
14 years 11 months ago
Assisted verification of elementary functions using Gappa
The implementation of a correctly rounded or interval elementary function needs to be proven carefully in the very last details. The proof requires a tight bound on the overall er...
Florent de Dinechin, Christoph Quirin Lauter, Guil...
CASES
2005
ACM
15 years 1 months ago
Automating custom-precision function evaluation for embedded processors
Due to resource and power constraints, embedded processors often cannot afford dedicated floating-point units. For instance, the IBM PowerPC processor embedded in Xilinx Virtex-...
Ray C. C. Cheung, Dong-U Lee, Oskar Mencer, Wayne ...