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RAIRO - Theoretical Informatics and Applications (1)

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Traced Premonoidal Categories
Nick Benton, Martin Hyland
Journal:

RAIRO - Theoretical Informatics and Applications / Volume 37 / Issue 4 / October 2003

Published online by Cambridge University Press:

15 January 2004, pp. 273-299

Print publication:

October 2003
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Motivated by some examples from functional programming, we propose a generalization of the notion of trace to symmetric premonoidal categories and of Conway operators to Freyd categories. We show that in a Freyd category, these notions are equivalent, generalizing a well-known theorem relating traces and Conway operators in Cartesian categories.