The maximality of the typed lambda calculus and of cartesian closed categories
Publications de l'Institut Mathématique, _N_S_68 (2000) no. 82, p. 1
Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
From the analogue of Böhm's Theorem proved for the
typed lambda calculus, without product types and with them, it is
inferred that every cartesian closed category that satisfies an equality
between arrows not satisfied in free cartesian closed categories must be a
preorder. A new proof is given here of these results, which were
obtained previously by Richard Statman and Alex K. Simpson.
@article{PIM_2000_N_S_68_82_a0,
author = {Kosta Do\v{s}en and Zoran Petri\'c},
title = {The maximality of the typed lambda calculus and of cartesian closed categories},
journal = {Publications de l'Institut Math\'ematique},
pages = {1 },
publisher = {mathdoc},
volume = {_N_S_68},
number = {82},
year = {2000},
zbl = {0968.03019},
language = {en},
url = {http://geodesic.mathdoc.fr/item/PIM_2000_N_S_68_82_a0/}
}
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Kosta Došen; Zoran Petrić. The maximality of the typed lambda calculus and of cartesian closed categories. Publications de l'Institut Mathématique, _N_S_68 (2000) no. 82, p. 1 . http://geodesic.mathdoc.fr/item/PIM_2000_N_S_68_82_a0/