27 search results - page 1 / 6 » Guaranteed Proofs Using Interval Arithmetic |
ARITH
2005
IEEE
13 years 10 months ago
2005
IEEE
This paper presents a set of tools for mechanical reasoning of numerical bounds using interval arithmetic. The tools implement two techniques for reducing decorrelation: interval ...
CSCLP
2003
Springer
13 years 10 months ago
2003
Springer
Abstract. We propose here a number of approaches to implement constraint propagation for arithmetic constraints on integer intervals. To this end we introduce integer interval arit...
COMPUTING
2006
13 years 4 months ago
2006
Abstract We are dealing with the optimal, i.e. densest packings of congruent circles into the unit square. In the recent years we have built a numerically reliable, verified method...
CORR
2007
Springer
13 years 4 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...
CORR
2006
Springer
13 years 4 months ago
2006
Springer
Arithmetic constraints on integer intervals are supported in many constraint programming systems. We study here a number of approaches to implement constraint propagation for thes...