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The semantic marriage of monads and effects

Orchard, Dominic A. and Petricek, Tomas and Mycroft, Alan (2014) The semantic marriage of monads and effects. [Preprint] (doi:10.48550/arXiv.1401.5391) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:57492)

The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided.
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: Preprint
DOI/Identification number: 10.48550/arXiv.1401.5391
Refereed: No
Other identifier: http://arxiv.org/abs/1401.5391
Name of pre-print platform: arXiv
Divisions: Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Computing
Depositing User: Dominic Orchard
Date Deposited: 05 May 2017 13:40 UTC
Last Modified: 10 Oct 2023 11:01 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/57492 (The current URI for this page, for reference purposes)

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