NDLI: Polymorphic type inference and abstract data types

Content Provider	ACM Digital Library
Author	Odersky, Martin Läufer, Konstantin
Copyright Year	1994
Abstract	Many statically typed programming languages provide an abstract data type construct, such as the module in Modula-2. However, in most of these languages, implementations of abstract data types are not first-class values. Thus, they cannot be assigned to variables, passed as function parameters, or returned as function results. Several higher-order functional languages feature strong and static type systems, parametric polymorphism, algebraic data types, and explicit type variables. Most of them rely on Hindley-Milner type inference instead of requiring explicit type declarations for identifiers. Although some of these languages support abstract data types, it appears that none of them directly provides light-weight abstract data types whose implementations are first-class values. We show how to add significant expressive power to statically typed functional languages with explicit type variables by incorporating first-class abstract types as an extension of algebraic data types. Furthermore, we extend record types to allow abstract components. The components of such abstract records are selected using the dot notation. Following Mitchell and Plotkin, we formalize abstract types in terms of existentially quantified types. We give a syntactically sound and complete type inference algorithm and prove that our type system is semantically sound with respect to standard denotational semantics.
Starting Page	1411
Ending Page	1430
Page Count	20
File Format	PDF
ISSN	01640925
e-ISSN	15584593
DOI	10.1145/186025.186031
Volume Number	16
Issue Number	5
Journal	ACM Transactions on Programming Languages and Systems (TOPLAS)
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	1994-09-01
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Dynamic dispatching Existentially quantified types First-class abstract types Polymorphism Type inference Universally quantified types
Content Type	Text
Resource Type	Article
Subject	Software

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
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3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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