7 Janvier - 13 Janvier

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Jeudi 10 Janvier
Heure: 10:30 - 12:00
Lieu: Salle B107, bâtiment B, Université de Villetaneuse
Résumé: Linear Implicative Algebras, a Brouwer-Heyting-Kolmogorov interpretation of linear logic
Description: Luc Pellissier

Implicative Algebras were recently introduced by Alexandre Miquel as a
unified framework for forcing and realisability, whose particularity is
to interpret terms and formulæ uniformly.

In this ongoing work, we show how linear logic fits in this picture: we
present a notion of model of intuitionnistic linear logic in which sits
both syntactic models and a localized phase semantics ; and show how to
transform such a model into an algebra allowing to interpret faithfully
all the connectives of classical linear logic.