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» Generic Modal Cut Elimination Applied to Conditional Logics
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TABLEAUX
2009
Springer
13 years 11 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 ...
Dirk Pattinson, Lutz Schröder
IANDC
2010
119views more  IANDC 2010»
13 years 3 months ago
Cut elimination in coalgebraic logics
We give two generic proofs for cut elimination in propositional modal logics, interpreted over coalgebras. We first investigate semantic coherence conditions between the axiomati...
Dirk Pattinson, Lutz Schröder
CORR
2010
Springer
165views Education» more  CORR 2010»
13 years 4 months ago
Cut-Elimination and Proof Search for Bi-Intuitionistic Tense Logic
We consider an extension of bi-intuitionistic logic with the traditional modalities , , and from tense logic Kt. Proof theoretically, this extension is obtained simply by extendin...
Rajeev Goré, Linda Postniece, Alwen Tiu
TABLEAUX
2009
Springer
13 years 11 months ago
Modular Sequent Systems for Modal Logic
We see cut-free sequent systems for the basic normal modal logics formed by any combination the axioms d, t, b, 4, 5. These systems are modular in the sense that each axiom has a c...
Kai Brünnler, Lutz Straßburger
FOSSACS
2009
Springer
13 years 11 months ago
Coalgebraic Hybrid Logic
Abstract. We introduce a generic framework for hybrid logics, i.e. modal logics additionally featuring nominals and satisfaction operators, thus providing the necessary facilities ...
Rob Myers, Dirk Pattinson, Lutz Schröder