Abstract

Verbal arithmetic's is a class of constraint satisfaction problems which includes making mathematical relations between meaningful words using simple arithmetic operators like '+' in a way that the result is conceptually true, and assigning digits to the letters of these words and generating numbers in order to make correct arithmetic operations as well. In this puzzle, arithmetic operations are simple and of base ten, but are ciphered into letters. A simple way to solve such problems is by depth first search (DFS) algorithm which has a big search space even for quite small problems. DFS is an algorithm for searching a tree, tree structure. Thus going deeper and deeper until a goal node is found. The paper illustrates the design and implementation of parallel genetic algorithm that can find the solution more quickly taking less memory.

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