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APAL
2010
66views more  APAL 2010»
13 years 5 months ago
Strong normalization results by translation
We prove the strong normalization of full classical natural deduction (i.e. with conjunction, disjunction and permutative conversions) by using a translation into the simply typed...
René David, Karim Nour
CSL
2000
Springer
13 years 5 months ago
On the Computational Interpretation of Negation
Abstract. We investigate the possibility of giving a computational interpretation of an involutive negation in classical natural deduction. We first show why this cannot be simply ...
Michel Parigot
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
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
IJCAI
1997
13 years 6 months ago
Let's Plan It Deductively!
The paper describes a transition logic, TL, and a deductive formalism for it. It shows how various important aspects (such as ramification, qualification, specificity, simultaneit...
Wolfgang Bibel