26 search results - page 1 / 6 » From Coinductive Proofs to Exact Real Arithmetic |
CSL
2009
Springer
14 years 5 months ago
2009
Springer
FLOPS
2008
Springer
14 years 14 days ago
2008
Springer
In this paper we describe some certified algorithms for exact real arithmetic based on co-recursion. Our work is based on previous experiences using redundant digits of base 2 but ...
MST
2008
13 years 11 months ago
2008
This paper studies coinductive representations of real numbers by signed digit streams and fast Cauchy sequences. It is shown how the associated coinductive principle can be used ...
CIE
2010
Springer
13 years 9 months ago
2010
Springer
Abstract. We study a realisability interpretation for inductive and coinductive definitions and discuss its application to program extraction from proofs. A speciality of this inte...
CORR
2008
Springer
13 years 11 months ago
2008
Springer
In this article we present a method for formally proving the correctness of the lazy algorithms for computing homographic and quadratic transformations -- of which field operations...