Theoretical Computer Science
The method of hypersequents in the proof theory of propositional non-classical logics
Logic: from foundations to applications
Proof Theory of Fuzzy Logics: Urquhart's C and Related Logics
MFCS '98 Proceedings of the 23rd International Symposium on Mathematical Foundations of Computer Science
Bounded Contraction in Systems with Linearity
TABLEAUX '99 Proceedings of the International Conference on Automated Reasoning with Analytic Tableaux and Related Methods
Analytic Calculi for Monoidal T-norm Based Logic
Fundamenta Informaticae
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A general criterion for the undecidabily of sub-classical first-order logics and important fragments thereof is established. It is applied, among others, to Urquart's (original version of) C and the closely related logic C*. In addition, hypersequent systems for (first-order) C and C* are introduced and shown to enjoy cut-elimination.