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TABLEAUX
2009
Springer

Generic Modal Cut Elimination Applied to Conditional Logics

14 years 4 months ago
Generic Modal Cut Elimination Applied to Conditional Logics
We develop a general criterion for cut elimination in sequent calculi for propositional modal logics, which rests on absorption of cut, contraction, weakening and inversion by the purely modal part of the rule system. Our criterion applies also to a wide variety of logics outside the realm of normal modal logic. We give extensive example instantiations of our framework to various conditional logics. For these, we obtain fully internalised calculi which are substantially simpler than those known in the literature, along with leaner proofs of cut elimination and complexity. In one case, conditional logic with modus ponens and conditional excluded middle, cut elimination and complexity are explicitly stated as open in the literature.
Dirk Pattinson, Lutz Schröder
Added 27 May 2010
Updated 27 May 2010
Type Conference
Year 2009
Where TABLEAUX
Authors Dirk Pattinson, Lutz Schröder
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