# Coproducts of ideal monads

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications (2004)

- Volume: 38, Issue: 4, page 321-342
- ISSN: 0988-3754

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topGhani, Neil, and Uustalu, Tarmo. "Coproducts of ideal monads." RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications 38.4 (2004): 321-342. <http://eudml.org/doc/245555>.

@article{Ghani2004,

abstract = {The question of how to combine monads arises naturally in many areas with much recent interest focusing on the coproduct of two monads. In general, the coproduct of arbitrary monads does not always exist. Although a rather general construction was given by Kelly [Bull. Austral. Math. Soc. 22 (1980) 1–83], its generality is reflected in its complexity which limits the applicability of this construction. Following our own research [C. Lüth and N. Ghani, Lect. Notes Artif. Intell. 2309 (2002) 18–32], and that of Hyland, Plotkin and Power [IFIP Conf. Proc. 223 (2002) 474–484], we are looking for specific situations when simpler constructions are available. This paper uses fixed points to give a simple construction of the coproduct of two ideal monads.},

author = {Ghani, Neil, Uustalu, Tarmo},

journal = {RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications},

keywords = {monad; ideal monad; coproduct; programming langage},

language = {eng},

number = {4},

pages = {321-342},

publisher = {EDP-Sciences},

title = {Coproducts of ideal monads},

url = {http://eudml.org/doc/245555},

volume = {38},

year = {2004},

}

TY - JOUR

AU - Ghani, Neil

AU - Uustalu, Tarmo

TI - Coproducts of ideal monads

JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

PY - 2004

PB - EDP-Sciences

VL - 38

IS - 4

SP - 321

EP - 342

AB - The question of how to combine monads arises naturally in many areas with much recent interest focusing on the coproduct of two monads. In general, the coproduct of arbitrary monads does not always exist. Although a rather general construction was given by Kelly [Bull. Austral. Math. Soc. 22 (1980) 1–83], its generality is reflected in its complexity which limits the applicability of this construction. Following our own research [C. Lüth and N. Ghani, Lect. Notes Artif. Intell. 2309 (2002) 18–32], and that of Hyland, Plotkin and Power [IFIP Conf. Proc. 223 (2002) 474–484], we are looking for specific situations when simpler constructions are available. This paper uses fixed points to give a simple construction of the coproduct of two ideal monads.

LA - eng

KW - monad; ideal monad; coproduct; programming langage

UR - http://eudml.org/doc/245555

ER -

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