Abstract types have existential type

Author:

Mitchell John C.1,Plotkin Gordon D.2

Affiliation:

1. Stanford Univ., Stanford, CA

2. Univ. of Edinburgh, Edinburgh, Scotland, UK

Abstract

Abstract data type declarations appear in typed programming languages like Ada, Alphard, CLU and ML. This form of declaration binds a list of identifiers to a type with associated operations, a composite “value” we call a data algebra . We use a second-order typed lambda calculus SOL to show how data algebras may be given types, passed as parameters, and returned as results of function calls. In the process, we discuss the semantics of abstract data type declarations and review a connection between typed programming languages and constructive logic.

Publisher

Association for Computing Machinery (ACM)

Subject

Software

Reference67 articles.

1. Lecture Notes in Computer Science 173;BRUCE K. B.,1984

2. BRUCE K. B. MEYER A. R. AND MITCHELL J. C. The semantics of second-order lambda calculus. In Information and Computation (to be published) 10.1016/0890-5401(90)90044-I BRUCE K. B. MEYER A. R. AND MITCHELL J. C. The semantics of second-order lambda calculus. In Information and Computation (to be published) 10.1016/0890-5401(90)90044-I

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