Gluing resource proof-structures: inhabitation and inverting the Taylor expansion
Giulio Guerrieri
University of Bath, UK
https://www.irif.fr/~giuliog/
Date(s) : 01/04/2021 iCal
10h30 - 11h30
A Multiplicative-Exponential Linear Logic (MELL) proof-structure can be expanded into a set of resource proof-structures: its Taylor expansion. We introduce a new criterion characterizing those sets of resource proof-structures that are part of the Taylor expansion of some MELL proof-structure, through a rewriting system acting both on resource and MELL proof-structures. As a consequence, we also prove semi-decidability of the type inhabitation problem for cut-free MELL proof-structures.
This is joint work with Luc Pellissier and Lorenzo Tortora de Falco.
En visio-conférence ici :
https://greenlight.lal.cloud.math.cnrs.fr/b/lio-hdc-jef
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