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Comprehending monads
Open accessAbstract
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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Cited by
Computational types from a logical perspective
BENTON, P. N., BIERMAN, G. M., & DE PAIVA, V. C. V. (1998) · Journal of Functional Programming · doi:10.1017/s0956796898002998 · Cited by 110
DreamCoder: bootstrapping inductive program synthesis with wake-sleep library learning
Ellis, K., Wong, C., Nye, M., Sablé-Meyer, M., Morales, L., Hewitt, L., Cary, L., Solar-Lezama, A., & Tenenbaum, J. B. (2021) · Proceedings of the 42nd ACM SIGPLAN International Conference on Programming Language Design and Implementation · doi:10.1145/3453483.3454080 · Cited by 103
Binders by day, labels by night: effect instances via lexically scoped handlers
Biernacki, D., Piróg, M., Polesiuk, P., & Sieczkowski, F. (2020) · Proceedings of the ACM on Programming Languages · doi:10.1145/3371116 · Cited by 46
Semmelroth, M., & Sabry, A. (1999) · Proceedings of the fourth ACM SIGPLAN international conference on Functional programming · doi:10.1145/317636.317777 · Cited by 28
Functional Pearl: On generating unique names
Augustsson, L., Rittri, M., & Synek, D. (1994) · Journal of Functional Programming · doi:10.1017/s0956796800000988 · Cited by 26
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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- 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.