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Abstract: In prior work we introduced a pure type assignment system that encompasses a rich set of property types, including intersections, unions, and universally and existentially quantified dependent types. This system was shown sound with respect to a call-by-value operational semantics with effects, yet is inherently undecidable. In this paper we provide a decidable formulation for this system based on bidirectional checking, combining type synthesis and analysis following logical principles. The... (Update)
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BibTeX entry: (Update)
J. Dunfield and F. Pfenning. Tridirectional typechecking. In Symposium on Principles of Programming Languages, 2004. http://citeseer.ist.psu.edu/dunfield04tridirectional.html More
@misc{ dunfield04tridirectional,
author = "J. Dunfield and F. Pfenning",
title = "Tridirectional typechecking",
text = "J. Dunfield and F. Pfenning. Tridirectional typechecking. In Symposium
on Principles of Programming Languages, 2004.",
year = "2004",
url = "citeseer.ist.psu.edu/dunfield04tridirectional.html" }
Citations (may not include all citations):197 Dependent types in practical programming - Xi, Pfenning - 1999
197 Dependent types in practical programming - Xi - 1998
188 Region-based memory management - Tofte, Talpin - 1997
157 Soft typing with conditional types - Aiken, Wimmers et al. - 1994
118 What are principal typings and what are they good - Jim - 1995
81 Refinement types for ML - Freeman, Pfenning - 1991
81 Refinement types for ML - Freeman - 1994
78 Soft typing - Cartwright, Fagan - 1991
75 The essence of principal typings - Wells - 2002
67 Programming with intersection types and bounded polymorphism - Pierce - 1991
61 Local type inference - Pierce, Turner - 2000
54 Functional characters of solvable terms (context) - Coppo, Dezani-Ciancaglini et al. - 1981
52 Programming with intersection types (context) - Pierce - 1991
51 and Greg Morrisett (context) - Smith, Walker - 2000
47 Intersection and union types: syntax and semantics (context) - Barbanera, Dezani-Ciancaglini et al. - 1995
41 The type and effect discipline - Talpin, Jouvelot - 1994
38 Design of the programming language Forsythe - Reynolds - 1996
34 From polyvariant flow information to intersection and union .. - Palsberg, Pavlopoulou - 2001
25 A calculus with polymorphic and polyvariant flow types - Wells, Dimock et al. - 2002
24 Dependently typed data structures - Xi - 2000
17 Practical refinement-type checking - Davies - 1997
15 Intersection types and computational effects - Davies, Pfenning - 2000
15 An effective theory of type refinements - Mandelbaum, Walker et al. - 2002
13 Type assignment for intersections and unions in call-by-valu.. - Dunfield, Pfenning - 2003
11 A practical refinement-type checker for Standard ML (context) - Davies - 1997
10 Combining two forms of type refinements - Dunfield - 2002
10 How good is local type inference (context) - Hosoya, Pierce - 1999
5 Tridirectional typechecking - Dunfield, Pfenning - 2004
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