System for solving of a constraint-satisfaction problem and constructing of a system

Abstract

A system and method for processing a large constraint satisfaction problem quickly, including a subset generating module (1), which divides a set of alternatives provided for a plurality of parts of a given problem into a plurality of subsets, such that each subset has not more than two alternatives for each part. For each subset generated by the division, a solution calculation module (2) finds a solution by calculating combinations of alternatives satisfying a constraint between alternatives selected for each two parts. The calculation of a solution for a subset, such that each subset has not more than two alternatives for each part, requires a very short period of processing time, even if the parts are many. Thus, the sum of the times required for finding a solution for all the subsets is much shorter than the time required for finding a solution for the original problem without such processing.

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