Polymorphic regular tree types and patterns

  • Authors:
  • Jérôme Vouillon

  • Affiliations:
  • CNRS and Université Paris

  • Venue:
  • Conference record of the 33rd ACM SIGPLAN-SIGACT symposium on Principles of programming languages
  • Year:
  • 2006

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Abstract

We propose a type system based on regular tree grammars, where algebraic datatypes are interpreted in a structural way. Thus, the same constructors can be reused for different types and a flexible subtyping relation can be defined between types, corresponding to the inclusion of their semantics. For instance, one can define a type for lists and a subtype of this type corresponding to lists of even length. Patterns are simply types annotated with binders. This provides a generalization of algebraic patterns with the ability of matching arbitrarily deep in a value. Our main contribution, compared to languages such as XDuce and CDuce, is that we are able to deal with both polymorphism and function types.