The semantic marriage of monads and effects

Orchard, Dominic A. and Petricek, Tomas and Mycroft, Alan (2014) The semantic marriage of monads and effects. CoRR, abs/14 . (Unpublished) (Full text available)

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Official URL
http://arxiv.org/abs/1401.5391

Abstract

Wadler and Thiemann unified type-and-effect systems with monadic semantics via a syntactic correspondence and soundness results with respect to an operational semantics. They conjecture that a general, “coherent” denotational semantics can be given to unify effect systems with a monadic-style semantics. We provide such a semantics based on the novel structure of an indexed monad, which we introduce. We redefine the semantics of Moggi’s computational ?-calculus in terms of (strong) indexed monads which gives a oneto-one correspondence between indices of the denotations and the effect annotations of traditional effect systems. Dually, this approach yields indexed comonads which gives a unified semantics and effect system to contextual notions of effect (called coeffects), which we have previously described

Item Type: Article
Divisions: Faculties > Sciences > School of Computing
Faculties > Sciences > School of Computing > Programming Languages and Systems Group
Depositing User: Dominic Orchard
Date Deposited: 05 May 2017 13:40 UTC
Last Modified: 08 May 2017 09:00 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/57492 (The current URI for this page, for reference purposes)
Orchard, Dominic A.: https://orcid.org/0000-0002-7058-7842
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