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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2007 Volume 82, Issue 6, Pages 905–915 (Mi mzm4190)

This article is cited in 2 papers

Logic of Proofs with Substitution

N. M. Rubtsova

M. V. Lomonosov Moscow State University

Abstract: The substitution operation in logic of proofs is axiomatized. For the system constructed, symbolic semantics is introduced and a completeness theorem is proved.

Keywords: logic of proofs, axiomatics of substitution, symbolic semantic, symbolic model, finitely generated reflexive model, tableau of labels, semantic tableau, internalization.

UDC: 510

Received: 05.02.2007
Revised: 13.06.2007

DOI: 10.4213/mzm4190


 English version:
Mathematical Notes, 2007, 82:6, 816–826

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© Steklov Math. Inst. of RAS, 2024