# Coproducts of Ideal Monads

RAIRO - Theoretical Informatics and Applications (2010)

- 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 38.4 (2010): 321-342. <http://eudml.org/doc/92746>.

@article{Ghani2010,

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},

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

language = {eng},

month = {3},

number = {4},

pages = {321-342},

publisher = {EDP Sciences},

title = {Coproducts of Ideal Monads},

url = {http://eudml.org/doc/92746},

volume = {38},

year = {2010},

}

TY - JOUR

AU - Ghani, Neil

AU - Uustalu, Tarmo

TI - Coproducts of Ideal Monads

JO - RAIRO - Theoretical Informatics and Applications

DA - 2010/3//

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/92746

ER -

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