2013•Journal of Functional ProgrammingOpen access

Idris, a general-purpose dependently typed programming language: Design and implementation

Edwin C. Brady

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Abstract

Abstract Many components of a dependently typed programming language are by now well understood, for example, the underlying type theory, type checking, unification and evaluation. How to combine these components into a realistic and usable high-level language is, however, folklore, discovered anew by successive language implementors. In this paper, I describe the implementation of Idris , a new dependently typed functional programming language. Idris is intended to be a general-purpose programming language and as such provides high-level concepts such as implicit syntax, type classes and do notation. I describe the high-level language and the underlying type theory, and present a tactic-based method for elaborating concrete high-level syntax with implicit arguments and type classes into a fully explicit type theory. Furthermore, I show how this method facilitates the implementation of new high-level language constructs.

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Abstract Many components of a dependently typed programming language are by now well understood, for example, the underlying type theory, type checking, unification and evaluation. How to combine these components into a realistic and usable high-level language is, however, folklore, discovered anew by successive language implementors. In this paper, I describe the implementation of Idris , a new dependently typed functional programming language. Idris is intended to be a general-purpose programming language and as such provides high-level concepts such as implicit syntax, type classes and do notation. I describe the high-level language and the underlying type theory, and present a tactic-based method for elaborating concrete high-level syntax with implicit arguments and type classes into a fully explicit type theory. Furthermore, I show how this method facilitates the implementation of new high-level language constructs.

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Available abstract

Abstract Many components of a dependently typed programming language are by now well understood, for example, the underlying type theory, type checking, unification and evaluation. How to combine these components into a realistic and usable high-level language is, however, folklore, discovered anew by successive language implementors. In this paper, I describe the implementation of Idris , a new dependently typed functional programming language. Idris is intended to be a general-purpose programming language and as such provides high-level concepts such as implicit syntax, type classes and do notation. I describe the high-level language and the underlying type theory, and present a tactic-based method for elaborating concrete high-level syntax with implicit arguments and type classes into a fully explicit type theory. Furthermore, I show how this method facilitates the implementation of new high-level language constructs.

Key concepts: Computer science, Programming language, Programming language specification, Very high-level programming language, Language primitive, Type theory, Dependent type, Syntax

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