From Axioms to Analytic Rules in Nonclassical Logics

  • Authors:
  • Agata Ciabattoni;Nikolaos Galatos;Kazushige Terui

  • Affiliations:
  • -;-;-

  • Venue:
  • LICS '08 Proceedings of the 2008 23rd Annual IEEE Symposium on Logic in Computer Science
  • Year:
  • 2008

Quantified Score

Hi-index 0.00

Visualization

Abstract

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.