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  1. Introduction to Turing categories.J. Robin B. Cockett & Pieter Jw Hofstra - 2008 - Annals of Pure and Applied Logic 156 (2):183-209.
    We give an introduction to Turing categories, which are a convenient setting for the categorical study of abstract notions of computability. The concept of a Turing category first appeared in the work of Longo and Moggi; later, Di Paolo and Heller introduced the closely related recursion categories. One of the purposes of Turing categories is that they may be used to develop categorical formulations of recursion theory, but they also include other notions of computation, such as models of combinatory logic (...)
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