Sciweavers

8 search results - page 1 / 2
» Strong Normalisation of Cut-Elimination in Classical Logic
Sort
View
TLCA
1999
Springer
13 years 9 months ago
Strong Normalisation of Cut-Elimination in Classical Logic
In this paper we present a strongly normalising cut-elimination procedure for classical logic. This procedure adapts Gentzen’s standard cut-reductions, but is less restrictive th...
Christian Urban, Gavin M. Bierman
TLCA
2001
Springer
13 years 9 months ago
Strong Normalisation for a Gentzen-like Cut-Elimination Procedure
In this paper we introduce a cut-elimination procedure for classical logic, which is both strongly normalising and consisting of local proof transformations. Traditional cut-elimin...
Christian Urban
CADE
2006
Springer
14 years 5 months ago
Strong Cut-Elimination Systems for Hudelmaier's Depth-Bounded Sequent Calculus for Implicational Logic
Abstract. Inspired by the Curry-Howard correspondence, we study normalisation procedures in the depth-bounded intuitionistic sequent calculus of Hudelmaier (1988) for the implicati...
Roy Dyckhoff, Delia Kesner, Stéphane Lengra...
CSL
2003
Springer
13 years 10 months ago
Atomic Cut Elimination for classical Logic
System SKS is a set of rules for classical propositional logic presented in the calculus of structures. Like sequent systems and unlike natural deduction systems, it has an explici...
Kai Brünnler
CSR
2008
Springer
13 years 5 months ago
A Triple Correspondence in Canonical Calculi: Strong Cut-Elimination, Coherence, and Non-deterministic Semantics
An (n, k)-ary quantifier is a generalized logical connective, binding k variables and connecting n formulas. Canonical systems with (n, k)-ary quantifiers form a natural class of G...
Arnon Avron, Anna Zamansky