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CORR
2010
Springer
165views Education» more  CORR 2010»
13 years 5 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
LICS
2008
IEEE
13 years 11 months ago
From Axioms to Analytic Rules in Nonclassical Logics
We introduce a systematic procedure to transform large classes of (Hilbert) axioms into equivalent inference rules in sequent and hypersequent calculi. This allows for the automat...
Agata Ciabattoni, Nikolaos Galatos, Kazushige Teru...
TABLEAUX
2009
Springer
13 years 9 months ago
Proof Search and Counter-Model Construction for Bi-intuitionistic Propositional Logic with Labelled Sequents
Abstract. Bi-intuitionistic logic is a conservative extension of intuitionistic logic with a connective dual to implication, called exclusion. We present a sound and complete cut-f...
Luis Pinto, Tarmo Uustalu
ENTCS
2008
126views more  ENTCS 2008»
13 years 5 months ago
Admissibility of Cut in Coalgebraic Logics
We study sequent calculi for propositional modal logics, interpreted over coalgebras, with admissibility of cut being the main result. As applications we present a new proof of th...
Dirk Pattinson, Lutz Schröder