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Intersection Types for λ-Trees (2000)  (Make Corrections)  
Steffen van Bakel, Franco Barbanera, Mariangiola Dezani-Ciancaglini, Fer-Jan de Vries



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Abstract: We introduce a type assignment system which is parametric with respect to five families of trees obtained by evaluating -terms (Bohm trees, Levy-Longo trees, ...). Then we prove, in an (almost) uniform way, that each type assignment system fully describes the observational equivalences induced by the corresponding tree representation of -terms. More precisely, for each family of trees, two -terms have the same tree if and only if they get assigned the same types in the corresponding type... (Update)

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BibTeX entry:   (Update)

@misc{ bakel-intersection,
  author = "Steffen van Bakel and Franco Barbanera and Mariangiola Dezani-Ciancaglini
    and Fer-Jan de Vries",
  title = "Intersection Types for λ-Trees",
  url = "citeseer.ist.psu.edu/article/vanbakel00intersection.html" }
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