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Semantic Subtyping for Non-Strict Languages

Authors Tommaso Petrucciani, Giuseppe Castagna, Davide Ancona, Elena Zucca

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Tommaso Petrucciani
  • DIBRIS, Università di Genova, Italy
  • IRIF, Université Paris Diderot, France
Giuseppe Castagna
  • CNRS, IRIF, Université Paris Diderot, France
Davide Ancona
  • DIBRIS, Università di Genova, Italy
Elena Zucca
  • DIBRIS, Università di Genova, Italy

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Tommaso Petrucciani, Giuseppe Castagna, Davide Ancona, and Elena Zucca. Semantic Subtyping for Non-Strict Languages. In 24th International Conference on Types for Proofs and Programs (TYPES 2018). Leibniz International Proceedings in Informatics (LIPIcs), Volume 130, pp. 4:1-4:24, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2019) https://doi.org/10.4230/LIPIcs.TYPES.2018.4

Abstract

Semantic subtyping is an approach to define subtyping relations for type systems featuring union and intersection type connectives. It has been studied only for strict languages, and it is unsound for non-strict semantics. In this work, we study how to adapt this approach to non-strict languages: in particular, we define a type system using semantic subtyping for a functional language with a call-by-need semantics. We do so by introducing an explicit representation for divergence in the types, so that the type system distinguishes expressions that are results from those which are computations that might diverge.

Subject Classification

ACM Subject Classification
  • Software and its engineering → Functional languages
Keywords
  • Semantic subtyping
  • non-strict semantics
  • call-by-need
  • union types
  • intersection types

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References

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