Picture of scraped petri dish

Scrape below the surface of Strathprints...

Explore world class Open Access research by researchers at the University of Strathclyde, a leading technological university.

Explore

A generic operational metatheory for algebraic effects

Johann, Patricia and Simpson, Alex and Voigtlaender, Janis (2010) A generic operational metatheory for algebraic effects. In: Proceedings of 25th Annual IEEE Symposium on Logic in Computer Science. ACM Press, pp. 209-218. ISBN 978-0-7695-4114-3

[img]
Preview
PDF
genpar.pdf - Submitted Version

Download (321kB) | Preview

Abstract

We provide a syntactic analysis of contextual preorder and equivalence for a polymorphic programming language with effects. Our approach applies uniformly across a range of algebraic effects, and incorporates, as instances: errors, input/output, global state, nondeterminism, probabilistic choice, and combinations thereof. Our approach is to extend Plotkin and Power’s structural operational semantics for algebraic effects (FoSSaCS 2001) with a primitive “basic preorder” on ground type computation trees. The basic preorder is used to derive notions of contextual preorder and equivalence on program terms. Under mild assumptions on this relation, we prove fundamental properties of contextual preorder (hence equivalence) including extensionality properties and a characterisation via applicative contexts, and we provide machinery for reasoning about polymorphism using relational parametricity.