Anzeige
Erschienen in:
2009 | OriginalPaper | Buchkapitel
An Explicit Formula for the Free Exponential Modality of Linear Logic
verfasst von : Paul-André Melliès, Nicolas Tabareau, Christine Tasson
Erschienen in: Automata, Languages and Programming
Verlag: Springer Berlin Heidelberg
Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.
Wählen Sie Textabschnitte aus um mit Künstlicher Intelligenz passenden Patente zu finden. powered by
Markieren Sie Textabschnitte, um KI-gestützt weitere passende Inhalte zu finden. powered by
The exponential modality of linear logic associates a commutative comonoid !
A
to every formula
A
in order to duplicate it. Here, we explain how to compute the free commutative comonoid !
A
as a sequential limit of equalizers in any symmetric monoidal category where this sequential limit exists and commutes with the tensor product. We then apply this general recipe to two familiar models of linear logic, based on coherence spaces and on Conway games. This algebraic approach enables to unify for the first time apparently different constructions of the exponential modality in spaces and games. It also sheds light on the subtle duplication policy of linear logic. On the other hand, we explain at the end of the article why the formula does not work in the case of the finiteness space model.