Understanding untyped $\overline{\lambda}\mu\widetilde{\mu}$ calculus

In this paper, we present an extension of λµ-calculus called λµ ++ - calculus which has the following properties: subject reduction, strong normalization, unicity of the

In section 5, we give an example showing that the proofs of strong normalization using candidates of reducibility must somehow be different from the usual ones and we show that, in

The full data sample from the NOMAD experiment has been analyzed using the same V 0 identification procedure and analysis method reported in a previ- ous paper [1] for the case of

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

In the remaining of this introduction, we briefly review notions and ideas that led to the definition of convolution ¯ λµ-calculus: it is the pure calculus associated with an

Abstrat: Λµ -alulus has been built as an untyped extension of Parigot's λµ -alulus in order to reover Böhm theorem whih was known to fail in λµ

Substitution preserves simple terms as soon as the substituted term is simple; the same holds for named application without condition on the term given as argument.. The proof of

The main result of this paper is that B ¨ohm’s theorem fails in the ëì-calculus : We can find two closed terms in canonical normal form that are not âçíìñè -equivalent but