Abstract
We now begin to investigate the type theory of the ς-calculus. We start with a simple first-order type system with object types. We prove two simple properties of this system: a unique-types theorem and a subject reduction theorem. We also define an equational theory, and extend the encodings of functions and fixpoints to typed encodings.
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© 1996 Springer Science+Business Media New York
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Abadi, M., Cardelli, L. (1996). First-Order Calculi. In: A Theory of Objects. Monographs in Computer Science. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-8598-9_8
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DOI: https://doi.org/10.1007/978-1-4419-8598-9_8
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6445-3
Online ISBN: 978-1-4419-8598-9
eBook Packages: Springer Book Archive