Turing-completeness totally free
McBride, Conor; Hinze, Ralf and Voigtländer, Janis, eds. (2015) Turing-completeness totally free. In: Mathematics of Program Construction. Lecture Notes in Computer Science, 9129 . Springer, DEU, pp. 257-275. ISBN 9783319197968
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Abstract
In this paper, I show that general recursive definitions can be represented in the free monad which supports the ‘effect’ of making a recursive call, without saying how these calls should be executed. Diverse semantics can be given within a total framework by suitable monad morphisms. The Bove-Capretta construction of the domain of a general recursive function can be presented datatype-generically as an instance of this technique. The paper is literate Agda, but its key ideas are more broadly transferable.
ORCID iDs
McBride, Conor
Item type: Book Section ID code: 60166 Dates: DateEvent9 June 2015Published16 March 2015AcceptedKeywords: monad morphisms, total functional programming, monads, general recursion, Electronic computers. Computer science, Computer Science(all) Subjects: Science > Mathematics > Electronic computers. Computer science Department: Faculty of Science > Computer and Information Sciences Depositing user: Pure Administrator Date deposited: 13 Mar 2017 16:26 Last modified: 25 Mar 2021 02:31 Related URLs: URI: https://strathprints.strath.ac.uk/id/eprint/60166