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Type Inference and Constraint Resolution

Sandra Maria Mendes Alves

Mestrado em Informática - Ramo de Sistemas e Redes
Departamento de Ciência de Computadores
Faculdade de Ciências da Universidade do Porto

September 2001


Abstract

In this thesis we present an implementation of the general system for type inference algorithms HM(X) using Prolog and Constraint Handling Rules. The type inference process may involve constraint resolution. Although equality constraints might be easily solved using an unification algorithm, other constraints may need more complex algorithms. In our implementation, equality constraints are solved by unification using Prolog unification with occur-check, and other constraints are solved by a constraint solver implemented in CHR. Based on the general system for type inference algorithms HM(X), we implement:
  • A general type inference algorithm;
  • Instances for: 
    • the Damas-Milner type system;
    • the Ohori system with records; 
    • the Nipkow e Prehofer system with type classes;
    • the system O of Odersky, Wadler and Wehr. 
 In our implementation the difference between the general aspects of the type inference algorithms and the constraint resolution module becomes more clear when compared to other implementations of the same systems, usually made in a functional programming language. CHR rules are a clear and natural way of specifying the simplification mechanism.
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