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2008 23rd Annual IEEE Symposium on Logic in Computer Science
From Axioms to Analytic Rules in Nonclassical Logics
June 24-June 27
ISBN: 978-0-7695-3183-0
We introduce a systematic procedure to transform large classesof (Hilbert) axioms into equivalent inference rules in sequent and hypersequent calculi. This allows for the automated generation of analytic calculi for a wide range of propositional nonclassical logics including intermediate, fuzzy and substructural logics. Our work encompasses many existing results, allows for the definition of new calculi and contains a uniform semantic proof of cut-elimination for hypersequent calculi.
Index Terms:
nonclassical logics, sequent calculi, hypersequent calculi, semantic cut-elimination
Citation:
Agata Ciabattoni, Nikolaos Galatos, Kazushige Terui, "From Axioms to Analytic Rules in Nonclassical Logics," lics, pp.229-240, 2008 23rd Annual IEEE Symposium on Logic in Computer Science, 2008
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