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» Complex Interval Arithmetic Using Polar Form
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ECAI
2000
Springer
15 years 1 months ago
A Framework for Dynamic Constraint Reasoning using Procedural Constraints
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...
Ari K. Jónsson, Jeremy Frank
80
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CP
2008
Springer
14 years 11 months ago
Exploiting Common Subexpressions in Numerical CSPs
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...
Ignacio Araya, Bertrand Neveu, Gilles Trombettoni
FOCM
2010
108views more  FOCM 2010»
14 years 8 months ago
Parallelization Method for a Continuous Property
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...
Pawel Pilarczyk
ICALP
2004
Springer
15 years 2 months ago
A Domain Theoretic Account of Picard's Theorem
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, ...
Abbas Edalat, Dirk Pattinson
CORR
2008
Springer
105views Education» more  CORR 2008»
14 years 9 months ago
Certifying floating-point implementations using Gappa
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...