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When Parametricity implies Naturality (Notes)  (Make Corrections)  
Uday S. Reddy July 25, 1997 The issue of whether parametricity and naturality ...



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Abstract: .79> R ? ? S A 0 f 0 - B 0 The terminology is motivated by the fact that edges R and S determine a relation [R ! S] ` hom(A;B) \Theta hom(A 0 ; B 0 ). We assume that all our reflexive graphs are relational. A reflexive graph is symmetric if it is equipped with a family of bijections (\Gamma) ` A;A 0 : edge(A; A 0 ) ¸ = edge(A 0 ; A) such that 1. (I A ) ` = I A , and 2. the left hand diagram is a parametricity square iff the right hand diagram is a parametricity square: A f - B 6 6 R ? ? S A 0 f ... (Update)

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BibTeX entry:   (Update)

@misc{ reddy-when,
  author = "Uday Reddy",
  title = "When Parametricity implies Naturality (Notes)",
  url = "citeseer.ist.psu.edu/103543.html" }
Citations (may not include all citations):
388   On understanding types (context) - Cardelli, Wegner - 1986
26   From Algol to polymorphic linear lambda-calculus - O'Hearn, Reynolds - 1997
21   Functorial polymorphism (context) - Bainbridge, Freyd et al. - 1990
7   Subtyping and parametricity - Plotkin, Abadi et al. - 1994
1   A model for formal parametric polymorphism: A PER interpreta.. (context) - Comput, -- et al. - 1995
1   Positive subtyping (context) - Surveys, Hoffman et al. - 1996
1   Parametricity and local variables (context) - manuscript, Westfield et al. - 1995

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