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arXiv · 2008.03103

Gluing resource proof-structures: inhabitation and inverting the Taylor expansion

Giulio Guerrieri·Luc Pellissier·Lorenzo Tortora de Falco
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Abstract

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 (and deciding in the finite case) 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. We also prove semi-decidability of the type inhabitation problem for cut-free MELL proof-structures.

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Giulio Guerrieri, Luc Pellissier, Lorenzo Tortora de Falco. 2020-08-06. Gluing resource proof-structures: inhabitation and inverting the Taylor expansion. https://doi.org/10.46298/lmcs-18(2%3A4)2022

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