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Shavrukov's Theorem on the Subalgebras of Diagonalizable Algebras for Theories Containing IΔ0+exp
Notre Dame Journal of Formal Logic 35 (1):147-157 (1994)
Abstract
Recently Shakurov pioneered the study of subalgebras of diagonalizable algebras of theories of arithmetic. We show that his results extend to weaker theoriesLinks
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Citations of this work
Substitutions of Σ10-sentences: explorations between intuitionistic propositional logic and intuitionistic arithmetic.Albert Visser - 2002 - Annals of Pure and Applied Logic 114 (1-3):227-271.
No Escape from Vardanyan's theorem.Albert Visser & Maartje de Jonge - 2006 - Archive for Mathematical Logic 45 (5):539-554.
Undecidability in diagonalizable algebras.V. Yu Shavrukov - 1997 - Journal of Symbolic Logic 62 (1):79-116.
Franco Montagna’s Work on Provability Logic and Many-valued Logic.Lev Beklemishev & Tommaso Flaminio - 2016 - Studia Logica 104 (1):1-46.
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