Picture of person typing on laptop with programming code visible on the laptop screen

World class computing and information science research at Strathclyde...

The Strathprints institutional repository is a digital archive of University of Strathclyde's Open Access research outputs. Strathprints provides access to thousands of Open Access research papers by University of Strathclyde researchers, including by researchers from the Department of Computer & Information Sciences involved in mathematically structured programming, similarity and metric search, computer security, software systems, combinatronics and digital health.

The Department also includes the iSchool Research Group, which performs leading research into socio-technical phenomena and topics such as information retrieval and information seeking behaviour.

Explore

Models for polymorphism over physical dimensions

Atkey, Robert and Ghani, Neil and Nordvall Forsberg, Fredrik and Revell, Timothy and Staton, Sam (2015) Models for polymorphism over physical dimensions. In: 13th International Conference on Typed Lambda Calculi and Applications (TLCA'15). Leibniz International Proceedings in Informatics (LIPIcs) . Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing, Wadern, Germany, pp. 999-1013.

[img]
Preview
Text (Atkey-etal-TLCA2015-models-polymorphism-physical-dimensions)
Atkey_etal_TLCA2015_models_polymorphism_physical_dimensions.pdf - Final Published Version
License: Creative Commons Attribution 4.0 logo

Download (457kB) | Preview

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.