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International Conference on Mathematical Foundations of Programming Semantics

MFPS 1991: Mathematical Foundations of Programming Semantics pp 1–40Cite as

Types, abstraction, and parametric polymorphism, part 2

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 598))

Abstract

The concept of relations over sets is generalized to relations over an arbitrary category, and used to investigate the abstraction (or logical-relations) theorem, the identity extension lemma, and parametric polymorphism, for Cartesian-closed-category models of the simply typed lambda calculus and PL-category models of the polymorphic typed lambda calculus. Treatments of Kripke relations and of complete relations on domains are included.

This research was sponsored in part by National Science Foundation Grant CCR-8922109 and in part by the Avionics Lab, Wright Research and Development Center, Aeronautical Systems Division (AFSC), U.S. Air Force, Wright-Patterson AFB, OH 45433-6543 under Contract F33615-90-C-1465, Arpa Order No. 7597. The views and conclusions contained in this document are those of the author and should not be interpreted as representing the official policies, either expressed or implied, of the U.S. Government.

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Authors and Affiliations

  1. School of Computer Science, Carnegie Mellon University, 15213-3890, Pittsburgh, PA, USA

    QingMing Ma & John C. Reynolds

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  1. QingMing Ma
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  2. John C. Reynolds
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Stephen Brookes Michael Main Austin Melton Michael Mislove David Schmidt

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© 1992 Springer-Verlag Berlin Heidelberg

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Ma, Q., Reynolds, J.C. (1992). Types, abstraction, and parametric polymorphism, part 2. In: Brookes, S., Main, M., Melton, A., Mislove, M., Schmidt, D. (eds) Mathematical Foundations of Programming Semantics. MFPS 1991. Lecture Notes in Computer Science, vol 598. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-55511-0_1

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  • DOI: https://doi.org/10.1007/3-540-55511-0_1

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