43 search results - page 1 / 9 » From Axioms to Analytic Rules in Nonclassical Logics |
LICS
2008
IEEE
14 years 2 months ago
2008
IEEE
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...
CSL
2009
Springer
14 years 2 months ago
2009
Springer
Abstract. This paper is part of a general project of developing a systematic and algebraic proof theory for nonclassical logics. Generalizing our previous work on intuitionistic-su...
CADE
2009
Springer
14 years 8 months ago
2009
Springer
The inverse method is a generic proof search procedure applicable to non-classical logics satisfying cut elimination and the subformula property. In this paper we describe a genera...
CSL
2004
Springer
14 years 1 months ago
2004
Springer
Abstract. We show how to automatically generate analytic hypersequent calculi for a large class of logics containing the linearity axiom (lin) (A ⊃ B) ∨ (B ⊃ A) starting from...
RTA
2005
Springer
14 years 1 months ago
2005
Springer
We present constructive arithmetic in Deduction modulo with rewrite rules only. In natural deduction and in sequent calculus, the cut elimination theorem and the analysis of the st...