Basic Predicate Calculus is not Sound with Respect to the Strong Variant of Strictly Primitive Recursive Realizability
Matematičeskie zametki, Tome 111 (2022) no. 2, pp. 241-257

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It is proved that basic predicate calculus BQC is not sound with respect to the strong variant of strictly primitive recursive realizability.
Keywords: strictly primitive recursive realizability, basic predicate calculus BQC, constructive semantics, realizability.
@article{MZM_2022_111_2_a6,
     author = {A. Yu. Konovalov},
     title = {Basic {Predicate} {Calculus} is not {Sound} with {Respect} to the {Strong} {Variant} of {Strictly} {Primitive} {Recursive} {Realizability}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {241--257},
     publisher = {mathdoc},
     volume = {111},
     number = {2},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2022_111_2_a6/}
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A. Yu. Konovalov. Basic Predicate Calculus is not Sound with Respect to the Strong Variant of Strictly Primitive Recursive Realizability. Matematičeskie zametki, Tome 111 (2022) no. 2, pp. 241-257. http://geodesic.mathdoc.fr/item/MZM_2022_111_2_a6/