## Parameterised notions of computation (2006)

Venue: | In MSFP 2006: Workshop on mathematically structured functional programming, ed. Conor McBride and Tarmo Uustalu. Electronic Workshops in Computing, British Computer Society |

Citations: | 37 - 3 self |

### BibTeX

@INPROCEEDINGS{Atkey06parameterisednotions,

author = {Robert Atkey},

title = {Parameterised notions of computation},

booktitle = {In MSFP 2006: Workshop on mathematically structured functional programming, ed. Conor McBride and Tarmo Uustalu. Electronic Workshops in Computing, British Computer Society},

year = {2006},

pages = {31--45}

}

### Years of Citing Articles

### OpenURL

### Abstract

Moggi’s Computational Monads and Power et al’s equivalent notion of Freyd category have captured a large range of computational effects present in programming languages such as exceptions, side-effects, input/output and continuations. We present generalisations of both constructs, which we call parameterised monads and parameterised Freyd categories, that also capture computational effects with parameters. Examples of such are composable continuations, side-effects where the type of the state varies and input/output where the range of inputs and outputs varies. By also considering monoidal parameterisation, we extend the range of effects to cover separated side-effects and multiple independent streams of I/O. We also present two typed λ-calculi that soundly and completely model our categorical definitions — with and without monoidal parameterisation — and act as prototypical languages with parameterised effects.

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Citation Context ...ation — and act as prototypical languages with parameterised effects. Keywords: Freyd Categories, Computational Monads, Computational Effects 1. INTRODUCTION Moggi’s framework of Computational Monads =-=[9, 8]-=-, and Power et al’s equivalent notion of Freyd Categories [12, 13, 5], have been successfully used to capture a wide range of computational effects used in programming language designs, such as non-te... |

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