Abstract
Are we interested in choice functions or function for choice? Was it my choice or did I choose? In the end it is all about sorts and operators, terms as given by the term monad over the appropriate category, and variable substitutions as morphisms in the Kleisli category of that particular term monad.
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Eklund, P., Fedrizzi, M., Nurmi, H. (2010). A Categorical Approach to the Extension of Social Choice Functions. In: Hüllermeier, E., Kruse, R., Hoffmann, F. (eds) Information Processing and Management of Uncertainty in Knowledge-Based Systems. Applications. IPMU 2010. Communications in Computer and Information Science, vol 81. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14058-7_26
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