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

Giulio Guerrieri, Luc Pellissier, Lorenzo Tortora de Falco

Research output: Contribution to journalSpecial issuepeer-review

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.
Original languageEnglish
JournalLogical Methods in Computer Science
Volume18
Issue number2
DOIs
Publication statusPublished - 22 Apr 2022

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