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VMCAI
2005
Springer
13 years 9 months ago
An Overview of Semantics for the Validation of Numerical Programs
Interval computations, stochastic arithmetic, automatic differentiation, etc.: much work is currently done to estimate and to improve the numerical accuracy of programs but few c...
Matthieu Martel
PEPM
2009
ACM
14 years 1 months ago
Program transformation for numerical precision
This article introduces a new program transformation in order to enhance the numerical accuracy of floating-point computations. We consider that a program would return an exact r...
Matthieu Martel
LISP
2008
104views more  LISP 2008»
13 years 4 months ago
On the implementation of automatic differentiation tools
Automatic differentiation is a semantic transformation that applies the rules of differential calculus to source code. It thus transforms a computer program that computes a mathema...
Christian H. Bischof, Paul D. Hovland, Boyana Norr...
VMCAI
2004
Springer
13 years 9 months ago
Construction of a Semantic Model for a Typed Assembly Language
Typed Assembly Languages (TALs) can be used to validate the safety of assembly-language programs. However, typing rules are usually trusted as axioms. In this paper, we show how to...
Gang Tan, Andrew W. Appel, Kedar N. Swadi, Dinghao...
GPCE
2005
Springer
13 years 10 months ago
Language Requirements for Large-Scale Generic Libraries
Abstract. The past decade of experience has demonstrated that the generic programming methodology is highly effective for the design, implementation, and use of large-scale softwar...
Jeremy G. Siek, Andrew Lumsdaine