Deductive validity and reduction classes
Zapiski Nauchnykh Seminarov POMI, Studies in constructive mathematics and mathematical logic. Part I, Tome 4 (1967), pp. 69-77

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     author = {V. A. Lifshits},
     title = {Deductive validity and reduction classes},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {69--77},
     publisher = {mathdoc},
     volume = {4},
     year = {1967},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1967_4_a7/}
}
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V. A. Lifshits. Deductive validity and reduction classes. Zapiski Nauchnykh Seminarov POMI, Studies in constructive mathematics and mathematical logic. Part I, Tome 4 (1967), pp. 69-77. http://geodesic.mathdoc.fr/item/ZNSL_1967_4_a7/