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(2009) Towards mathematical philosophy, Dordrecht, Springer.
In this paper we present a method, that we call the tree-hypersequent method, for generating contraction-free and cut-free sequent calculi for modal propositional logics. We show how this method works for the systems K, KD, K4 and KD4, by giving a sequent calculus for these systems which are normally presented in the Hilbert style, and by proving all the main results in a purely syntactical way.
Publication details
DOI: 10.1007/978-1-4020-9084-4_3
Full citation:
Poggiolesi, F. (2009)., The method of tree-hypersequents for modal propositional logic, in D. Makinson, J. Malinowski & H. Wansing (eds.), Towards mathematical philosophy, Dordrecht, Springer, pp. 31-51.
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