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AML
2010
87views more  AML 2010»
13 years 6 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
14 years 14 days 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
12 years 5 days 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
13 years 6 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
13 years 8 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 ...