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Association rule mining is one of the most important tasks to describe raw data. Although many efficient algorithms have been developed to this aim, existing algorithms do not work well on huge volumes of data. The aim of this paper is to propose a new genetic programming algorithm for mining association rules in Big Data. The genetic operators of our proposal have been specifically designed to avoid a growing in the complexity of the solutions without an improvement in their fitness function values. Furthermore, it introduces a repairing operator to improve the convergence. Additionally, to facilitate its application on real world problems a grammar has been included, allowing it to introduce subjective knowledge into the mining process and to reduce the search space. Due to the growing interest in data gathering, a unique implementation of the proposed algorithm is not useful so different implementations …