Traced premonoidal categories
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications (2003)
- Volume: 37, Issue: 4, page 273-299
- ISSN: 0988-3754
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topBenton, Nick, and Hyland, Martin. "Traced premonoidal categories." RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications 37.4 (2003): 273-299. <http://eudml.org/doc/246065>.
@article{Benton2003,
abstract = {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.},
author = {Benton, Nick, Hyland, Martin},
journal = {RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications},
keywords = {traces; fixed point operators; premonoidal categories; recursion; monads; Freyd category; Conway operators in Cartesian categories},
language = {eng},
number = {4},
pages = {273-299},
publisher = {EDP-Sciences},
title = {Traced premonoidal categories},
url = {http://eudml.org/doc/246065},
volume = {37},
year = {2003},
}
TY - JOUR
AU - Benton, Nick
AU - Hyland, Martin
TI - Traced premonoidal categories
JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
PY - 2003
PB - EDP-Sciences
VL - 37
IS - 4
SP - 273
EP - 299
AB - 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.
LA - eng
KW - traces; fixed point operators; premonoidal categories; recursion; monads; Freyd category; Conway operators in Cartesian categories
UR - http://eudml.org/doc/246065
ER -
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