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Comprehending monads

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Wadler, Philip·1990·Proceedings of the 1990 ACM conference on LISP and functional programming

Abstract

Category theorists invented monads in the 1960's to concisely express certain aspects of universal algebra. Functional programmers invented list comprehensions in the 1970's to concisely express certain programs involving lists. This paper shows how list comprehensions may be generalised to an arbitrary monad, and how the resulting programming feature can concisely express in a pure functional language some programs that manipulate state, handle exceptions, parse text, or invoke continuations. A new solution to the old problem of destructive array update is also presented. No knowledge of category theory is assumed.

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Metadata

Authors
Wadler, P.
Venue
Proceedings of the 1990 ACM conference on LISP and functional programming
Publisher
ACM
Published
1990-05
Pages
61-78
OpenAlex
W2295914203
Cited by
576
References
0
FWCI
18.12
Type
conference paper
Language
en
Open access
gold

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CoChat. (2026). Citation check: Comprehending monads. https://app.cochat.ai/papers/10.1145/91556.91592
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Wadler, P. (1990). Comprehending monads. Proceedings of the 1990 ACM conference on LISP and functional programming. https://doi.org/10.1145/91556.91592

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.