The classification of propositional calculi (Q1595914)

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scientific article; zbMATH DE number 1565443
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English
The classification of propositional calculi
scientific article; zbMATH DE number 1565443

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    The classification of propositional calculi (English)
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    18 February 2001
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    Several independent axiomatizations \(A_i\) of intuitionistic propositional calculus \(H\) are considered. For each of them the result of deleting some of the axioms determines a known subsystem of \(H\). Adding one more axiom to each of \(A_i\) provides an independent axiomatization of classical propositional calculus.
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    implicational logics
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    combinators
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    independence
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    finite Boolean lattice
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    maximal lattice of logics
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    full logic
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    intuitionistic logic
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    independent axiomatization
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