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CIE
2007
Springer
13 years 12 months ago
Refocusing Generalised Normalisation
Abstract. When defined with general elimination/application rules, natural deduction and λ-calculus become closer to sequent calculus. In order to get real isomorphism, normalisa...
José Espírito Santo
TABLEAUX
2009
Springer
14 years 8 days 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
APAL
2010
123views more  APAL 2010»
13 years 5 months ago
Cut elimination and strong separation for substructural logics: An algebraic approach
Abstract. We develop a general algebraic and proof-theoretic study of substructural logics that may lack associativity, along with other structural rules. Our study extends existin...
Nikolaos Galatos, Hiroakira Ono
LFCS
2007
Springer
13 years 12 months ago
Cut Elimination in Deduction Modulo by Abstract Completion
act Completion (Full Version) Guillaume Burel Claude Kirchner August 6, 2007 Deduction Modulo implements Poincar´e’s principle by identifying deduction and computation as diff...
Guillaume Burel, Claude Kirchner
WOLLIC
2009
Springer
14 years 10 days ago
Sound and Complete Tree-Sequent Calculus for Inquisitive Logic
Abstract. We introduce a tree-sequent calculus for inquisitive logic (Groenendijk 2008) as a special form of labelled deductive system (Gabbay 1996). In particular, we establish th...
Katsuhiko Sano