Constraint-based type inference for FreezeML

Author:

Emrich Frank1ORCID,Stolarek Jan1ORCID,Cheney James1ORCID,Lindley Sam1ORCID

Affiliation:

1. University of Edinburgh, UK

Abstract

FreezeML is a new approach to first-class polymorphic type inference that employs term annotations to control when and how polymorphic types are instantiated and generalised. It conservatively extends Hindley-Milner type inference and was first presented as an extension to Algorithm W. More modern type inference techniques such as HM(X) and OutsideIn(X) employ constraints to support features such as type classes, type families, rows, and other extensions. We take the first step towards modernising FreezeML by presenting a constraint-based type inference algorithm. We introduce a new constraint language, inspired by the Pottier/Rémy presentation of HM(X), in order to allow FreezeML type inference problems to be expressed as constraints. We present a deterministic stack machine for solving FreezeML constraints and prove its termination and correctness.

Publisher

Association for Computing Machinery (ACM)

Subject

Safety, Risk, Reliability and Quality,Software

Reference29 articles.

1. Principal type-schemes for functional programs

2. Frank Emrich Sam Lindley Jan Stolarek James Cheney and Jonathan Coates. 2020. FreezeML: Complete and Easy Type Inference for First-class Polymorphism. In PLDI. ACM 423–437. Extended version available at https://doi.org/10.48550/arXiv.2004.00396 Frank Emrich Sam Lindley Jan Stolarek James Cheney and Jonathan Coates. 2020. FreezeML: Complete and Easy Type Inference for First-class Polymorphism. In PLDI. ACM 423–437. Extended version available at https://doi.org/10.48550/arXiv.2004.00396

3. Frank Emrich Jan Stolarek James Cheney and Sam Lindley. 2022. Constraint-based type inference for FreezeML (extended version). https://doi.org/10.48550/arXiv.2207.09914 arXiv:2207.09914 Frank Emrich Jan Stolarek James Cheney and Sam Lindley. 2022. Constraint-based type inference for FreezeML (extended version). https://doi.org/10.48550/arXiv.2207.09914 arXiv:2207.09914

4. Semi-Explicit First-Class Polymorphism for ML

5. A typechecker plugin for units of measure: domain-specific constraint solving in GHC Haskell

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