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.TLCA.2015.45
URN: urn:nbn:de:0030-drops-51547
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2015/5154/
Go to the corresponding LIPIcs Volume Portal

Atkey, Robert ; Ghani, Neil ; Nordvall Forsberg, Fredrik ; Revell, Timothy ; Staton, Sam

Models for Polymorphism over Physical Dimension

pdf-format:
9.pdf (0.4 MB)

Abstract

We provide a categorical framework for models of a type theory that has special types for physical quantities. The types are indexed by the physical dimensions that they involve. Fibrations are used to organize this index structure in the models of the type theory. We develop some informative models of this type theory: firstly, a model based on group actions, which captures invariance under scaling, and secondly, a way of constructing new models using relational parametricity.

BibTeX - Entry

@InProceedings{atkey_et_al:LIPIcs:2015:5154,
  author =	{Robert Atkey and Neil Ghani and Fredrik Nordvall Forsberg and Timothy Revell and Sam Staton},
  title =	{{Models for Polymorphism over Physical Dimension}},
  booktitle =	{13th International Conference on Typed Lambda Calculi and Applications (TLCA 2015)},
  pages =	{45--59},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-87-3},
  ISSN =	{1868-8969},
  year =	{2015},
  volume =	{38},
  editor =	{Thorsten Altenkirch},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2015/5154},
  URN =		{urn:nbn:de:0030-drops-51547},
  doi =		{10.4230/LIPIcs.TLCA.2015.45},
  annote =	{Keywords: Category Theory, Units of Measure, Dimension Types, Type Theory}
}

Keywords: Category Theory, Units of Measure, Dimension Types, Type Theory
Collection: 13th International Conference on Typed Lambda Calculi and Applications (TLCA 2015)
Issue Date: 2015
Date of publication: 15.06.2015

DROPS-Home | Fulltext Search | Imprint | Privacy Published by LZI