Many complex real-world decision problems, such as planning, contain an underlying constraint reasoning problem. The feasibility of a solution candidate then depends on the consis...
It is acknowledged that the symbolic form of the equations is crucial for interval-based solving techniques to efficiently handle systems of equations over the reals. However, only...
Abstract. An automated method of general purpose is introduced for computing a rigorous estimate of a bounded region in Rn whose points satisfy a given property. The method is base...
We present a domain-theoretic version of Picard’s theorem for solving classical initial value problems in Rn . For the case of vector fields that satisfy a Lipschitz condition, ...
High confidence in floating-point programs requires proving numerical properties of final and intermediate values. One may need to guarantee that a value stays within some range, ...
Florent de Dinechin, Christoph Quirin Lauter, Guil...