Computer Science Department
School of Computer Science, Carnegie Mellon University
A Model for a List-oriented Extension of the Lambda Calculus
Glenn Durfee
May 1997
Submitted in partial fulfillment of the requirements for the degree of
Master of Science (Honors Degree Program)
Department of Mathematics, Carnegie Mellon University.
This work is intended to provide a semantics for a fragment of
a programming language described by Gyorgy Revesz in Lambda-Calculus
combinators and Functional Programming), for which no model was known.
We begin with a brief presentation of the syntax of the lambda calculus
and some relevant extensions. We then describe a class of complete lattices
and use them as models for the lambda calculus. We then find specialized
sublattices which we use as models for the extensions of the lambda
calculus, thus achieving the original goal of finding a semantics for
Revesz's language.
33 pages
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