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- Samir Farkh, Karim Nour
- ITA
- 1997

J.-L. Krivine introduced the AF2 type system in order to obtain programs (λterms) which calculate functions, by writing demonstrations of their totalities. We present in this paper two results of completness for some types of AF2 and for many notions of reductions. These results generalize a theorem of R. Labib-Sami established in the system F of J.-Y.… (More)

- Samir Farkh, Karim Nour
- Journal of Applied Non-Classical Logics
- 2003

In this paper, we extend the system AF2 in order to have the subject reduction for the βη-reduction. We prove that the types with positive quantifiers are complete for models that are stable by weak-head expansion.

- Samer Farkh, Nafez Harb, Katia Haddad, Zaher Zeaiter, Samir Farkh
- 2015

The U-Th method, also called series method of uranium, is improved by a new experimental protocol and successfully applied to the impure calcite (with uranium concentration <0,05 dpm/g) which was previously difficult to be dated accurately. Our experiments performed on 15 calcite samples taken from France and Morocco, have highlighted the importance of this… (More)

- Samir Farkh, Karim Nour
- ITA
- 2001

We give in this paper a purely syntactical definition of input and output types of system F . We define the syntactical data types as input and output types. We show that any type with positive quantifiers is a syntactical data type and that an input type is an output type. We give some restrictions on the ∀-elimination rule in order to prove that an output… (More)

- Samir Farkh, Karim Nour
- 2009

We presente in this note a completeness result for the types with positive quantifiers of the J.-Y. Girard type system F . This result generalizes a theorem of R. Labib-Sami (see [3]). Abridged English Version. The F type system have been introduced by J.-Y. Girard (see [1]). This system is based on the second order intuitionistic propositional calculus,… (More)

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