Les I-types du système

K. Nour

RAIRO - Theoretical Informatics and Applications (2010)

  • Volume: 35, Issue: 3, page 223-237
  • ISSN: 0988-3754

Abstract

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We prove in this paper that the types of system inhabited uniquely by λI-terms (the I-types) have a positive quantifier. We give also consequences of this result and some examples.

How to cite

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Nour, K.. "Les I-types du système ${\cal F}$." RAIRO - Theoretical Informatics and Applications 35.3 (2010): 223-237. <http://eudml.org/doc/222094>.

@article{Nour2010,
abstract = { We prove in this paper that the types of system $\{\cal F\}$ inhabited uniquely by λI-terms (the I-types) have a positive quantifier. We give also consequences of this result and some examples. },
author = {Nour, K.},
journal = {RAIRO - Theoretical Informatics and Applications},
keywords = {λI-calculus; system $\{\cal F\}$; I-type; lambda calculus; -types; system ; positive quantifier},
language = {fre},
month = {3},
number = {3},
pages = {223-237},
publisher = {EDP Sciences},
title = {Les I-types du système $\{\cal F\}$},
url = {http://eudml.org/doc/222094},
volume = {35},
year = {2010},
}

TY - JOUR
AU - Nour, K.
TI - Les I-types du système ${\cal F}$
JO - RAIRO - Theoretical Informatics and Applications
DA - 2010/3//
PB - EDP Sciences
VL - 35
IS - 3
SP - 223
EP - 237
AB - We prove in this paper that the types of system ${\cal F}$ inhabited uniquely by λI-terms (the I-types) have a positive quantifier. We give also consequences of this result and some examples.
LA - fre
KW - λI-calculus; system ${\cal F}$; I-type; lambda calculus; -types; system ; positive quantifier
UR - http://eudml.org/doc/222094
ER -

References

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  1. H. Barendregt, The lambda calculus, its syntax and semantics. North Holland (1984).  Zbl0551.03007
  2. S. Farkh, Types de données en logique du second ordre, Thèse de doctorat. Université de Savoie, France (1998).  
  3. J.-Y. Girard, Y. Lafont et P. Taylor, Proofs and types. Cambridge University Press (1986).  Zbl0671.68002
  4. J.-L. Krivine, Lambda calcul, types et modèles. Masson (1990).  Zbl0697.03004
  5. K. Nour, Opérateurs de mise en mémoire et types ∀-positifs. RAIRO: Theoret. Informatics Appl.30 (1996) 261-293.  

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