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University of Illinois at Urbana-Champaign

Parametricity as a Notion of Uniformity in Reflexive Graphs

Abstract

dc:description

"The strength of this notion of uniformity can be exhibited by way of ""representation results"". We show that the possible parametric transformations of certain type correspond to the intuitively uniform families of functions of that type. Thus abstract models of polymorphic programming languages are produced. Some programming language features, such as state and recursion, provide modeling complications when combined with polymorphism. We show that representation results are still obtainable for polymorphic programming languages with state or recursion."

Degree

thesis:*
Name thesis:degree_name
Ph.D.
Level thesis:degree_level
Dissertation
Discipline thesis:degree_discipline
Mathematics
Grantor
University of Illinois at Urbana-Champaign
Year dc:date
2015

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Dunphy, Brian Patrick
Contributors dc:contributor
  • Uday Reddy

Subjects

dc:subject × 1

Rights

Language dc:language
eng

Identifiers

dc:identifier.*
Identifier
(MiAaPQ)AAI3070294
OAI identifier oai:identifier
oai:www.ideals.illinois.edu:2142/86798

Chain of custody

source
Harvested from
University of Illinois - Urbana-Champaign
Base URL
www.ideals.illinois.edu/oai-pmh
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
citation

Dunphy, Brian Patrick. Parametricity as a Notion of Uniformity in Reflexive Graphs. Dissertation thesis, University of Illinois at Urbana-Champaign, 2015. http://hdl.handle.net/2142/86798