Universal Imitation Games: A Category-Theoretic Framework for Modeling Interactions and Identifying Participants

This paper proposes a category-theoretic framework for modeling and analyzing a broader class of universal imitation games (UIGs) that go beyond Turing's original imitation game. The key ideas are to use category theory to define the "measurement probes" for solving UIGs, and to leverage fundamental results from category theory, such as the Yoneda Lemma and the theory of coends and ends, to provide a unified approach to diverse methods for solving imitation games.