A Category Theory of Communication Theory

Eric Werner

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arXiv · 1505.07712

A Category Theory of Communication Theory

Eric Werner

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Abstract

A theory of how agents can come to understand a language is presented. If understanding a sentence $\alpha$ is to associate an operator with $\alpha$ that transforms the representational state of the agent as intended by the sender, then coming to know a language involves coming to know the operators that correspond to the meaning of any sentence. This involves a higher order operator that operates on the possible transformations that operate on the representational capacity of the agent. We formalize these constructs using concepts and diagrams analogous to category theory.

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Eric Werner. 2015-05-28. A Category Theory of Communication Theory. https://arxiv.org/abs/1505.07712

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