scholarly journals The simple essence of algebraic subtyping: principal type inference with subtyping made easy (functional pearl)

2020 ◽  
Vol 4 (ICFP) ◽  
pp. 1-28
Author(s):  
Lionel Parreaux
Keyword(s):  
Type Inference ◽  
Principal Type

Type Inference: Some Results, Some Problems1

1993 ◽  
Vol 19 (1-2) ◽  
pp. 87-125
Author(s):  
Paola Giannini ◽  
Furio Honsell ◽  
Simona Ronchi Della Rocca
Keyword(s):  
Large Class ◽  
Higher Order ◽  
Type Inference ◽  
Principal Type ◽  
Open Problems ◽  
Inference Problem ◽  
Type Assignment ◽  
Unification Problem

In this paper we investigate the type inference problem for a large class of type assignment systems for the λ-calculus. This is the problem of determining if a term has a type in a given system. We discuss, in particular, a collection of type assignment systems which correspond to the typed systems of Barendregt’s “cube”. Type dependencies being shown redundant, we focus on the strongest of all, Fω, the type assignment version of the system Fω of Girard. In order to manipulate uniformly type inferences we give a syntax directed presentation of Fω and introduce the notions of scheme and of principal type scheme. Making essential use of them, we succeed in reducing the type inference problem for Fω to a restriction of the higher order semi-unification problem and in showing that the conditional type inference problem for Fω is undecidable. Throughout the paper we call attention to open problems and formulate some conjectures.

scholarly journals Principal type inference for GADTs

2016 ◽  
Vol 51 (1) ◽  
pp. 416-428 ◽  
Author(s):  
Sheng Chen ◽  
Martin Erwig
Keyword(s):  
Type Inference ◽  
Principal Type

Iterative type inference with attribute grammars

2011 ◽  
Vol 46 (2) ◽  
pp. 43-52 ◽  
Author(s):  
Arie Middelkoop ◽  
Atze Dijkstra ◽  
S. Doaitse Swierstra
Keyword(s):  
Type Inference ◽  
Attribute Grammars

A practical framework for type inference error explanation

2016 ◽  
Vol 51 (10) ◽  
pp. 781-799 ◽  
Author(s):  
Calvin Loncaric ◽  
Satish Chandra ◽  
Cole Schlesinger ◽  
Manu Sridharan
Keyword(s):  
Type Inference ◽  
Error Explanation
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