2001Electronic Notes in Theoretical Computer ScienceOpen access

Derivable Type Classes

Ralf Hinze, Simon Peyton Jones

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Abstract

Generic programming allows you to write a function once, and use it many times at different types. A lot of good foundational work on generic programming has been done. The goal of this paper is to propose a practical way of supporting generic programming within the Haskell language, without radically changing the language or its type system. The key idea is to present generic programming as a richer language in which to write default method definitions in a class declaration. On the way, we came across a separate issue, concerning type-class overloading where higher kinds are involved. We propose a simple type-class system extension to allow the programmer to write richer contexts than is currently possible.

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What this paper is about

Generic programming allows you to write a function once, and use it many times at different types. A lot of good foundational work on generic programming has been done. The goal of this paper is to propose a practical way of supporting generic programming within the Haskell language, without radically changing the language or its type system. The key idea is to present generic programming as a richer language in which to write default method definitions in a class declaration. On the way, we came across a separate issue, concerning type-class overloading where higher kinds are involved. We propose a simple type-class system extension to allow the programmer to write richer contexts than is currently possible.

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Available abstract

Generic programming allows you to write a function once, and use it many times at different types. A lot of good foundational work on generic programming has been done. The goal of this paper is to propose a practical way of supporting generic programming within the Haskell language, without radically changing the language or its type system. The key idea is to present generic programming as a richer language in which to write default method definitions in a class declaration. On the way, we came across a separate issue, concerning type-class overloading where higher kinds are involved. We propose a simple type-class system extension to allow the programmer to write richer contexts than is currently possible.

Key concepts: Haskell, Programming language, Computer science, Class (philosophy), Programmer, Type (biology), Functional programming, Type inference

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