Notions of computation determine monads

Gordon Plotkin, John Power

Research output: Chapter in Book/Report/Conference proceedingChapter

147 Citations (Scopus)

Abstract

We model notions of computation using algebraic operations and equations. We show that these generate several of the monads of primary interest that have been used to model computational effects, with the striking omission of the continuations monad. We focus on semantics for global and local state, showing that taking operations and equations as primitive yields a mathematical relationship that reflects their computational relationship.
Original languageEnglish
Title of host publicationFoundations of Software Science and Computation Structures 5th International Conference, FOSSACS 2002 Held as Part of the Joint European Conferences on Theory and Practice of Software, ETAPS 2002 Grenoble, France, April 8–12, 2002 Proceedings
Place of PublicationBerlin
PublisherSpringer
Pages342-356
Number of pages15
Volume2303
DOIs
Publication statusPublished - 2002

Publication series

NameLecture Notes in Computer Science
PublisherSpringer

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    Plotkin, G., & Power, J. (2002). Notions of computation determine monads. In Foundations of Software Science and Computation Structures 5th International Conference, FOSSACS 2002 Held as Part of the Joint European Conferences on Theory and Practice of Software, ETAPS 2002 Grenoble, France, April 8–12, 2002 Proceedings (Vol. 2303, pp. 342-356). (Lecture Notes in Computer Science). Springer. https://doi.org/10.1007/3-540-45931-6_24