License: Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.RTA.2013.239
URN: urn:nbn:de:0030-drops-40651
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Schmidt-Schauß, Manfred ; Machkasova, Elena ; Sabel, David

Extending Abramsky's Lazy Lambda Calculus: (Non)-Conservativity of Embeddings

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Our motivation is the question whether the lazy lambda calculus, a pure lambda calculus with the leftmost outermost rewriting strategy, considered under observational semantics, or extensions thereof, are an adequate model for semantic equivalences in real-world purely functional programming languages, in particular for a pure core language of Haskell. We explore several extensions of the lazy lambda calculus: addition of a seq-operator, addition of data constructors and case-expressions, and their combination, focusing on conservativity of these extensions. In addition to untyped calculi, we study their monomorphically and polymorphically typed versions. For most of the extensions we obtain non-conservativity which we prove by providing counterexamples. However, we prove conservativity of the extension by data constructors and case in the monomorphically typed scenario.

BibTeX - Entry

  author =	{Manfred Schmidt-Schau{\ss} and Elena Machkasova and David Sabel},
  title =	{{Extending Abramsky's Lazy Lambda Calculus: (Non)-Conservativity of Embeddings}},
  booktitle =	{24th International Conference on Rewriting Techniques and Applications (RTA 2013)},
  pages =	{239--254},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-53-8},
  ISSN =	{1868-8969},
  year =	{2013},
  volume =	{21},
  editor =	{Femke van Raamsdonk},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{},
  URN =		{urn:nbn:de:0030-drops-40651},
  doi =		{10.4230/LIPIcs.RTA.2013.239},
  annote =	{Keywords: lazy lambda calculus, contextual semantics, conservativity}

Keywords: lazy lambda calculus, contextual semantics, conservativity
Collection: 24th International Conference on Rewriting Techniques and Applications (RTA 2013)
Issue Date: 2013
Date of publication: 24.06.2013

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