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» Atomic Cut Elimination for classical Logic
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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
LICS
2010
IEEE
13 years 3 months ago
Breaking Paths in Atomic Flows for Classical Logic
This work belongs to a wider effort aimed at eliminating syntactic bureaucracy from proof systems. In this paper, we present a novel cut elimination procedure for classical propos...
Alessio Guglielmi, Tom Gundersen, Lutz Straß...
CADE
1999
Springer
13 years 9 months ago
System Description: CutRes 0.1: Cut Elimination by Resolution
CutRes is a system which takes as input an LK-proof with arbitrary cuts and skolemized end-sequent and gives as output an LKproof with atomic cuts only. The elimination of cuts is ...
Matthias Baaz, Alexander Leitsch, Georg Moser
LPAR
2001
Springer
13 years 9 months ago
A Local System for Classical Logic
Abstract. The calculus of structures is a framework for specifying logical systems, which is similar to the one-sided sequent calculus but more general. We present a system of infe...
Kai Brünnler, Alwen Fernanto Tiu
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