A Mechanized Proof of a Textbook Type Unification Algorithm

Authors

  • André Rauber Du Bois Universidade Federal de Pelotas, Pelotas, Rio Grande do Sul, Brazil http://orcid.org/0000-0002-6790-5184
  • Rodrigo Ribeiro Universidade Federal de Ouro Preto, Ouro Preto, Minas Gerais, Brazil
  • Maycon Amaro Universidade Federal de Ouro Preto, Ouro Preto, Minas Gerais, Brazil http://orcid.org/0000-0001-7684-8428

DOI:

https://doi.org/10.22456/2175-2745.100968

Keywords:

Type inference, unification, Coq proof assistant

Abstract

Unification is the core of type inference algorithms for modern functional programming languages, like Haskell and SML. As a first step towards a formalization of a type inference algorithm for such programming languages, we present a formalization in Coq of a type unification algorithm that follows classic algorithms presented in programming language textbooks. We also report on the use of such formalization to build a correct type inference algorithm for the simply typed λ-calculus.

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References

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Published

2020-06-18

How to Cite

Rauber Du Bois, A., Ribeiro, R., & Amaro, M. (2020). A Mechanized Proof of a Textbook Type Unification Algorithm. Revista De Informática Teórica E Aplicada, 27(3), 13–24. https://doi.org/10.22456/2175-2745.100968

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Section

Regular Papers