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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. |
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