ApproxLM17 (Article)
|
Author(s) | Ugo de' Liguoro |
Title | « The Approximation Theorem for the -Calculus » |
Journal | Mathematical Structures in Computer Science |
Volume | 27 |
Number | 5 |
Page(s) | 560-580 |
Year | 2017 |
Note | available on CJO2015. doi:10.1017/S0960129515000286. |
Abstract |
We consider a notion of approximation for terms of de Groote-Saurin -calculus. Then we introduce an intersection type assignment system for that calculus which is invariant under subject conversion. The type assignment system also induces a filter model, which is an extensional -model in the sense of Nakazawa and Katsumata. We then establish the approximation theorem, stating that a type can be assigned to a term in the system if and only if it can be assigned to same of its approximations. |
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@article{ApproxLM17,
number = {5},
volume = {27},
author = {Ugo de' Liguoro},
note = {available on CJO2015. doi:10.1017/S0960129515000286.},
tag = {{Mathematical Structures in Computer Science}},
abstract = {We consider a notion of approximation for terms of de
Groote-Saurin $\Lambda\mu$-calculus. Then we introduce an
intersection type assignment system for that calculus which is
invariant under subject conversion. The type assignment system
also induces a filter model, which is an extensional
$\Lambda\mu$-model in the sense of Nakazawa and Katsumata. We then
establish the approximation theorem, stating that a type can be
assigned to a term in the system if and only if it can be assigned
to same of its approximations.},
title = {{The Approximation Theorem for the $\Lambda\mu$-Calculus}},
localfile = {http://www.di.unito.it/~deligu/papers/ApproxLM.pdf},
journal = {{Mathematical Structures in Computer Science}},
year = {2017},
pages = {560-580},
}
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