Equality between Functionals in the Presence of Coproducts

Abstract

We consider the lambda-calculus obtained from the simply-typed calculus by adding products, coproducts, and a terminal type. We prove the following theorem: The equations provable in this calculus are precisely those true in any set-theoretic model with an innnite base type.

DOI: 10.1006/inco.1999.2833

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@inproceedings{Dougherty1995EqualityBF, title={Equality between Functionals in the Presence of Coproducts}, author={Daniel J. Dougherty and Ramesh Subrahmanyam}, booktitle={Inf. Comput.}, year={1995} }