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Higher-Order Algebra with Transfinite Types

Lookup NU author(s): Dr Jason Steggles

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Abstract

We extend the simple type system of higher-order algebra with transfinite types. We present a general model theory for transfinite higher-order algebra including results on the existence and construction of free and initial models, and a sound and complete equational calculus. We demonstrate the use of transfinite types for modelling polymorphism by specifying a simple polymorphic functional programming language.


Publication metadata

Author(s): Steggles LJ

Publication type: Report

Publication status: Published

Series Title: Department of Computing Science Technical Report Series

Year: 1995

Pages: 22

Print publication date: 01/01/1995

Source Publication Date: 1995

Report Number: 541

Institution: Department of Computing Science, University of Newcastle upon Tyne

Place Published: Newcastle upon Tyne

URL: http://www.cs.ncl.ac.uk/publications/trs/papers/541.pdf


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