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On the Tree-Hypersequent Calculi

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Gentzen Calculi for Modal Propositional Logic

Part of the book series: Trends in Logic ((TREN,volume 32))

Abstract

In the first part of the book we defined what it means for a sequent calculus to be good and we explained the reasons why it is important for a logic to have a good Gentzen calculus. In the second part of the book we set out the numerous attempts made at providing the main systems of modal logic with a proof calculus while showing their limits and their benefits. Our aim in this last part of the book is to present and deeply analyse a new method for generating good extensions of the sequent calculus for the SLH-systems plus GL.

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Correspondence to Francesca Poggiolesi .

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Poggiolesi, F. (2010). On the Tree-Hypersequent Calculi. In: Gentzen Calculi for Modal Propositional Logic. Trends in Logic, vol 32. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-9670-8_6

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