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This paper presents a Java application for educational purposes to be used as a logical game---we call our system: ELgA. Our basic claim is that games are of best importance in the teaching and learning of logical notions, thus providing both students and instructors with a useful learning paradigm. ELgA is a cooperative and interactive game-oriented system based on a well known result in model theory, namely, the game-theoretic characterization of logical equivalence (Ehrenfeucht, 1961). ELgA summarizes abstract concepts as `structure' and `equivalence' in logic into the more common experience of playing a game. As a result, ELgA has features which make it very different from any other system proposed so far.