Geodesic
General recursive realizability and basic logic
Algebra i logika, Tome 59 (2020) no. 5, pp. 542-566

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

The notion of general recursive realizability is defined based on using indices of general recursive functions as a constructive way of obtaining some realizations from others. The soundness of basic logic with respect to the semantics of general recursive realizability is proved.
Keywords: realizability, absolute realizability, subrecursive realizability, basic logic. 
@article{AL_2020_59_5_a2,
     author = {A. Yu. Konovalov},
     title = {General recursive realizability and basic logic},
     journal = {Algebra i logika},
     pages = {542--566},
     publisher = {mathdoc},
     volume = {59},
     number = {5},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2020_59_5_a2/}
}
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A. Yu. Konovalov. General recursive realizability and basic logic. Algebra i logika, Tome 59 (2020) no. 5, pp. 542-566. http://geodesic.mathdoc.fr/item/AL_2020_59_5_a2/