Geodesic
General recursive realizability and intuitionistic logic
Algebra i logika, Tome 60 (2021) no. 2, pp. 137-144

Voir la notice de l'article provenant de la source Math-Net.Ru

We continue to study into the notion of general recursive realizability, which was introduced in [Algebra and Logic, 59, No. 5 (2020), 367—384], based on using indices of general recursive functions as a constructive way of obtaining some realizations from others. It is proved that intuitionistic logic is not sound with respect to a weaker version of the semantics of general recursive realizability.
Keywords: general recursive realizability, intuitionistic logic. 
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     author = {A. Yu. Konovalov},
     title = {General recursive realizability and intuitionistic logic},
     journal = {Algebra i logika},
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     number = {2},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2021_60_2_a1/}
}
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A. Yu. Konovalov. General recursive realizability and intuitionistic logic. Algebra i logika, Tome 60 (2021) no. 2, pp. 137-144. http://geodesic.mathdoc.fr/item/AL_2021_60_2_a1/