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Practical Inference for Type-Based Termination in a Polymorphic Setting

  • Gilles Barthe
  • Benjamin Grégoire
  • Fernando Pastawski
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3461)

Abstract

We introduce a polymorphic λ-calculus that features inductive types and that enforces termination of recursive definitions through typing. Then, we define a sound and complete type inference algorithm that computes a set of constraints to be satisfied for terms to be typable. In addition, we show that Subject Reduction fails in a naive use of typed-based termination for a λ-calculus à la Church, and we propose a general solution to this problem.

Keywords

Constraint System Inference Algorithm Typing Rule Proof Assistant Inductive Type 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Gilles Barthe
    • 1
  • Benjamin Grégoire
    • 1
  • Fernando Pastawski
    • 2
  1. 1.INRIA Sophia-AntipolisFrance
  2. 2.FaMAFUniv. Nacional de CórdobaArgentina

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