Geodesic
About effective versions of game theoretical semantics for first-order logic
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 618-637.

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In the article we compare two approaches to effectivisation of game theoretical semantics for first-order logic. One of the approaches was provided by Sergey P. Odintsov, Stanislav O. Speranski, Igor Yu. Shevchenko in the previous article, and it is based on a game-theoretical reconstruction of strategy conception. In this article we provide the other approach — we consider a strategy as a function determined on a set of histories and then we set an equivalence between these two approaches.
Keywords: game theoretical semantics, Nelson's realizability, computability. 
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I. Yu. Shevchenko. About effective versions of game theoretical semantics for first-order logic. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 618-637. http://geodesic.mathdoc.fr/item/SEMR_2019_16_a9/

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