6 search results - page 1 / 2 » Verified Real Number Calculations: A Library for Interval Ar... |
CORR
2007
Springer
13 years 10 months ago
2007
Springer
—Real number calculations on elementary functions are remarkably difficult to handle in mechanical proofs. In this paper, we show how these calculations can be performed within a...
TPHOL
2005
IEEE
14 years 4 months ago
2005
IEEE
Wouldn’t it be nice to be able to conveniently use ordinary real number expressions within proof assistants? In this paper we outline how this can be done within a theorem provin...
DATE
1999
IEEE
14 years 3 months ago
1999
IEEE
If real number calculations are implemented as circuits, only a limited preciseness can be obtained. Hence, formal verification can not be used to prove the equivalence between th...
CADE
2008
Springer
14 years 11 months ago
2008
Springer
Interval-based methods are commonly used for computing numerical bounds on expressions and proving inequalities on real numbers. Yet they are hardly used in proof assistants, as th...
VMCAI
2005
Springer
14 years 4 months ago
2005
Springer
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...