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Control effects as a modality

Published online by Cambridge University Press:  01 January 2009

HAYO THIELECKE
HAYO THIELECKE*
Affiliation:
University of Birmingham, Birmingham, UK (e-mail: [email protected])
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Abstract

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We combine ideas from types for continuations, effect systems and monads in a very simple setting by defining a version of classical propositional logic in which double-negation elimination is combined with a modality. The modality corresponds to control effects, and it includes a form of effect masking. Erasing the modality from formulas gives classical logic. On the other hand, the logic is conservative over intuitionistic logic.

Type
Theoretical Pearls
Information
Journal of Functional Programming , Volume 19 , Issue 1 , January 2009 , pp. 17 - 26
Copyright
Copyright © Cambridge University Press 2008

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