Geodesic
Absolute $L$-realizability and intuitionistic logic
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2019), pp. 50-53

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An absolute $L$-realizability of predicate formulas is introduced for all countable extensions $L$ of the language of arithmetic. It is proved that the intuitionistic logic is not sound with this semantics. 
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     author = {A. Yu. Konovalov},
     title = {Absolute $L$-realizability and intuitionistic logic},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {50--53},
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     year = {2019},
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     url = {http://geodesic.mathdoc.fr/item/VMUMM_2019_2_a9/}
}
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A. Yu. Konovalov. Absolute $L$-realizability and intuitionistic logic. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2019), pp. 50-53. http://geodesic.mathdoc.fr/item/VMUMM_2019_2_a9/