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» Towards a Canonical Classical Natural Deduction System
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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
ECCC
2006
93views more  ECCC 2006»
13 years 5 months ago
On the Deduction Theorem and Complete Disjoint NP-Pairs
In this paper we ask the question whether the extended Frege proof system EF satisfies a weak version of the deduction theorem. We prove that if this is the case, then complete dis...
Olaf Beyersdorff
LFCS
2007
Springer
13 years 11 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
JVA
2006
IEEE
13 years 11 months ago
Natural Deduction Calculus for Computation Tree Logic
We present a natural deduction calculus for the computation tree logic CTL defined with the full set of classical and temporal logic operators. The system extends the natural ded...
Alexander Bolotov, Oleg Grigoriev, Vasilyi Shangin