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Gentzen-type axiomatization for PAL - MaRDI portal

Gentzen-type axiomatization for PAL (Q688720)

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scientific article; zbMATH DE number 438343
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Gentzen-type axiomatization for PAL
scientific article; zbMATH DE number 438343

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    Gentzen-type axiomatization for PAL (English)
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    12 December 1993
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    For propositional algorithmic logic (PAL) as introduced by \textit{G. Mirkowska} [Fund. Inform. 4, 675-760 (1981; Zbl 0494.68030)] the author gives a finite, cut-free Gentzen-type axiomatization, proves the completeness of this axiomatization, and gets as corollaries a small- model theorem as well as a decision procedure for PAL.
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    logic of programs
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    sequent calculus
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    decidability
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    propositional algorithmic logic
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    axiomatization
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