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  • Journal of Functional Programming, Volume 9, Issue 6
  • November 1999, pp. 675-698

Type-checking injective pure type systems

  • GILLES BARTHE (a1)
  • Published online: 01 November 1999
Abstract

Injective pure type systems form a large class of pure type systems for which one can compute by purely syntactic means two sorts elmt(Γ[mid ]M) and sort(Γ[mid ]M), where Γ is a pseudo-context and M is a pseudo-term, and such that for every sort s,

formula here

By eliminating the problematic clause in the (abstraction) rule in favor of constraints over elmt(.[mid ].) and sort(.[mid ].), we provide a sound and complete type-checking algorithm for injective pure type systems. In addition, we prove expansion postponement for a variant of injective pure type systems where the problematic clause in the (abstraction) rule is replaced in favor of constraints over elmt(.[mid ].) and sort(.[mid ].).

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Journal of Functional Programming
  • ISSN: 0956-7968
  • EISSN: 1469-7653
  • URL: /core/journals/journal-of-functional-programming
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