On some proof theoretical properties of the modal logic GL

Studia Logica 42 (4):453 - 459 (1983)
Abstract
This paper deals with the system of modal logicGL, in particular with a formulation of it in terms of sequents. We prove some proof theoretical properties ofGL that allow to get the cut-elimination theorem according to Gentzen's procedure, that is, by double induction on grade and rank.
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DOI 10.1007/BF01371633
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References found in this work BETA
Gaisi Takeuti (1987). Proof Theory. Sole Distributors for the U.S.A. And Canada, Elsevier Science Pub. Co..

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Citations of this work BETA
Paolo Gentilini & P. Gentilini (1992). Provability Logic in the Gentzen Formulation of Arithmetic. Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 38 (1):535-550.
M. Borga & P. Gentilini (1986). On the Proof Theory of the Modal Logic Grz. Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 32 (10-12):145-148.

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