A Comparative Study of Arithmetic Constraints on Integer Intervals

Computer Science – Programming Languages

Scientific paper

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24 pages. To appear in "Recent Advances in Constraints, 2003" K.R. Apt, F. Fages, F. Rossi, P. Szeredi and J. Vancza, eds, LNA

Scientific paper

We propose here a number of approaches to implement constraint propagation
for arithmetic constraints on integer intervals. To this end we introduce
integer interval arithmetic. Each approach is explained using appropriate proof
rules that reduce the variable domains. We compare these approaches using a set
of benchmarks.

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