Geodesic
Basic Predicate Calculus is Sound with Respect to a Modified Version of Strictly Primitive Recursive Realizability
Matematičeskie zametki, Tome 114 (2023) no. 6, pp. 827-847

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A version of strictly primitive recursive realizability for the language of the basis predicate logic $\mathsf{BQC}$ is defined, which takes into account specific features of the language. It is proved that $\mathsf{BQC}$ is sound with respect to this version of strictly primitive recursive realizability.
Keywords: strictly primitive recursive realizability, basis predicate logic BQC, constructive semantics, realizability. 
@article{MZM_2023_114_6_a3,
     author = {A. Yu. Konovalov},
     title = {Basic {Predicate} {Calculus} is {Sound} with {Respect} to a {Modified} {Version} of {Strictly} {Primitive} {Recursive} {Realizability}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {827--847},
     publisher = {mathdoc},
     volume = {114},
     number = {6},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2023_114_6_a3/}
}
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A. Yu. Konovalov. Basic Predicate Calculus is Sound with Respect to a Modified Version of Strictly Primitive Recursive Realizability. Matematičeskie zametki, Tome 114 (2023) no. 6, pp. 827-847. http://geodesic.mathdoc.fr/item/MZM_2023_114_6_a3/