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  Type Reconstruction for Type Classes 1

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by Tobias Nipkow, Christian Prehofer, Tu Munchen
http://www4.informatik.tu-muenchen.de/papers/NipkowPrehofer_TRfT1995.ps.gz
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Abstract:

We study the type inference problem for a system with type classes as in the functional programming language Haskell. Type classes are an extension of ML-style polymorphism with overloading. We generalize Milner's work on polymorphism by introducing a separate context constraining the type variables in a typing judgement. This leads to simple type inference systems and algorithms which closely resemble those for ML. In particular we present a new unification algorithm which is an extension of syntactic unification with constraint solving. The existence of principal types follows from an analysis of this unification algorithm. 1

Citations

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27 Type checking type classes – Nipkow, Prehofer - 1993
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16 An approach to overloading with polymorphism – Blott - 1991
14 On the complexity of ML typability with overloading – Volpano, Smith - 1991
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2 On the complexity ofMLtypability with overloading – Nipkow, Volpano, et al. - 1991
1 Qualified types: Theory and practice. D.Phil – Jones - 1992