Proof theory in the USSR 1925-1969

Journal of Symbolic Logic 56 (2):385-424 (1991)
We present a survey of proof theory in the USSR beginning with the paper by Kolmogorov [1925] and ending (mostly) in 1969; the last two sections deal with work done by A. A. Markov and N. A. Shanin in the early seventies, providing a kind of effective interpretation of negative arithmetic formulas. The material is arranged in chronological order and subdivided according to topics of investigation. The exposition is more detailed when the work is little known in the West or the original presentation can be improved using notions or results which appeared later. This includes such topics as Novikov's cut-elimination method (regular formulas) and Maslov's inverse method for the predicate logic
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DOI 10.2307/2274689
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Minimal From Classical Proofs.Helmut Schwichtenberg & Christoph Senjak - 2013 - Annals of Pure and Applied Logic 164 (6):740-748.
2005–06 Winter Meeting of the Association for Symbolic Logic.Haim Gaifman - 2006 - Bulletin of Symbolic Logic 12 (3):503-516.

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