Geodesic
Note on a~Translation to Characterize Constructivity
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Mathematical logic and algebra, Tome 242 (2003), pp. 136-140

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This note describes a straightforward translation $\mathcal C^{(1)}$ such that $T\vdash A(t)$ for some term $t$ $\Leftrightarrow$ $\mathcal C^{(1)}(T)\vdash \mathcal C^{(1)}(\exists xA(x))$ for universal $T$ and purely existential $\exists xA(x)$. The correspondence is based on the properties of resolution calculus. 
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     author = {M. Baaz},
     title = {Note on {a~Translation} to {Characterize} {Constructivity}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
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     year = {2003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TM_2003_242_a10/}
}
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M. Baaz. Note on a~Translation to Characterize Constructivity. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Mathematical logic and algebra, Tome 242 (2003), pp. 136-140. http://geodesic.mathdoc.fr/item/TM_2003_242_a10/