Monadic Maps and Folds for Arbitrary Datatypes

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Fokkinga, Maarten (1994) Monadic Maps and Folds for Arbitrary Datatypes. [Report]

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Abstract:Each datatype constructor comes equiped not only with a so-called map and fold (<i>catamorphism</i>), as is widely known, but, under some condition, also with a kind of map and fold that are related to an arbitrary given monad.

This result follows from the preservation of initiality under lifting from the category of algebras in a given category to a certain other category of algebras in the Kleisli category related to the monad.
Item Type:Report
Copyright:© 1994 University of Twente, Department of Computer Science
Faculty:
Electrical Engineering, Mathematics and Computer Science (EEMCS)
Research Group:
Link to this item:http://purl.utwente.nl/publications/66622
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