Modelling angelic and demonic nondeterminism with multirelations

The work

AuthorsC.E. Martin; S.A. Curtis; I. Rewitzky
Typearticle
Year2007
Citekeymartin2007modelling

Where it appeared

Published inScience of Computer Programming
PublisherElsevier BV
Volume65
Issue2
Pages140--158

Abstract

This paper presents an introduction to a calculus of binary multirelations, which can model both angelic and demonic kinds of non-determinism. The isomorphism between up-closed multirelations and monotonic predicate transformers allows a different view of program transformation, and program transformation calculations using multirelations are easier to perform in some circumstances. Multirelations are illustrated by modelling both kinds of nondeterministic behaviour in games and resource-sharing protocols.

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Added2026-08-16 00:00 UTC
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Filed under

angels-and-demons

Cite it as

@article{martin2007modelling,
  title        = {Modelling angelic and demonic nondeterminism with multirelations},
  author       = {C.E. Martin and S.A. Curtis and I. Rewitzky},
  year         = {2007},
  journal      = {Science of Computer Programming},
  volume       = {65},
  number       = {2},
  pages        = {140--158},
  publisher    = {Elsevier BV},
  doi          = {10.1016/j.scico.2006.01.007},
}

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