Jeudi 7 Juin

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Jeudi 7 Juin
Heure: 11:30 - 13:00
Lieu: Salle B107, bâtiment B, Université de Villetaneuse
Résumé: Coends and proof equivalence in MLL2
Description: Paolo Pistone > Proof nets provide permutation-independent representations of proofs and are used to investigate coherence problems for monoidal categories. We investigate a coherence problem concerning Second Order Multiplicative Linear Logic MLL2, that is, the one of characterizing the equivalence over proofs generated by the interpretation of quantifiers by means of ends and coends. This equivalence is naturally induced by the usual second order translation of multiplicative units and connectives and is related to the investigations on the parametric models of System F.
> By adapting the "rewiring approach" used in the proof net characterization of the free *-autonomous category, we provide a compact representation of proof nets for a fragment of MLL2 related to the Yoneda isomorphism. We prove that the equivalence generated by coends over proofs in this fragment is fully characterized by the rewiring equivalence over proof nets.