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DFG
2007
Springer
15 years 7 months ago
Why Interval Arithmetic is so Useful
: Interval arithmetic was introduced by Ramon Moore [Moo66] in the 1960s as an approach to bound rounding errors in mathematical computation. The theory of interval analysis emerge...
Younis Hijazi, Hans Hagen, Charles D. Hansen, Kenn...
ITP
2010
156views Mathematics» more  ITP 2010»
15 years 7 months ago
The Optimal Fixed Point Combinator
In this paper, we develop a general theory of fixed point combinators, in higher-order logic equipped with Hilbert’s epsilon operator. This combinator allows for a direct and e...
Arthur Charguéraud
ECSQARU
1995
Springer
15 years 7 months ago
Model-Based Diagnostics Using Hints
It is often possible to describe the correct functioning of a system by a mathematical model. As long as observations or measurements correspond to the predictions made by the mod...
Jürg Kohlas, Paul-André Monney, Rolf H...
APAL
2010
88views more  APAL 2010»
15 years 3 months ago
Nonstandard arithmetic and recursive comprehension
First order reasoning about hyperintegers can prove things about sets of integers. In the author's paper Nonstandard Arithmetic and Reverse Mathematics, Bulletin of Symbolic L...
H. Jerome Keisler
ENTCS
2006
113views more  ENTCS 2006»
15 years 3 months ago
A Large-Scale Experiment in Executing Extracted Programs
It is a well-known fact that algorithms are often hidden inside mathematical proofs. If these proofs are formalized inside a proof assistant, then a mechanism called extraction ca...
Luís Cruz-Filipe, Pierre Letouzey