Glivenko theorems revisited (Q1035660)
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scientific article; zbMATH DE number 5624913
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Glivenko theorems revisited |
scientific article; zbMATH DE number 5624913 |
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Glivenko theorems revisited (English)
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4 November 2009
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Glivenko's theorem for a propositional substructural logic \(L\) is the statement: Formula \(A\) is a tautology iff \(L\vdash \neg\neg A\). The author and \textit{N. Galatos} [J. Symb. Log. 71, No. 4, 1353--1384 (2006; Zbl 1109.03016)] gave exact conditions for Glivenko's theorem in algebraic terms. Here a proof-theoretic treatment is given.
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Glivenko theorem
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substructural logics
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proof-theoretic methods
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