A semantical proof of the strong normalization theorem for full propositional classical natural deduction

Second, using the same reduction idea, we showed that arbitrary first-order for- mulas under the stable model semantics, recently proposed in [8], can be turned into a prenex

By using an energy method on the equation satisfied by some (higher order) derivative of the solution of the Landau equation, it is possible to prove that one derivative with respect

A short (160p.) book addressing all the concerns of this course, and more (especially Linear Logic). Easy and pleasant

It is well known that, when the underlying logic is the classical one (i.e. the absurdity rule is allowed) these connectives are redundant since, for example, ∨ and ∧ can be coded

The strong normalization of a typed λµ-calculus can be deduced from the one of the corresponding typed λ-calculus by using CPS translations. See, for example, [14] for such

In this paper, we show that the implication fragment of Classical Propositional Logic is finitary for unification with parameters.. Keywords: Classical

This follows immediately from the strong normalization of the calculus of substitution (i.e. all the rules except b) which is proved in [4]2. We have stated the previous lemma in

Since the proofs in the implicative propositional classical logic can be coded by Parigot’s λµ-terms and the cut elimination corresponds to the λµ-reduction, the result can be seen as