de Carvalho, Daniel - Taylor expansion in linear logic is invertible

lmcs:4643 - Logical Methods in Computer Science, December 7, 2018, Volume 14, Issue 4
Taylor expansion in linear logic is invertible

Authors: de Carvalho, Daniel

Each Multiplicative Exponential Linear Logic (MELL) proof-net can be expanded into a differential net, which is its Taylor expansion. We prove that two different MELL proof-nets have two different Taylor expansions. As a corollary, we prove a completeness result for MELL: We show that the relational model is injective for MELL proof-nets, i.e. the equality between MELL proof-nets in the relational model is exactly axiomatized by cut-elimination.


Source : oai:arXiv.org:1712.05505
DOI : 10.23638/LMCS-14(4:21)2018
Volume: Volume 14, Issue 4
Published on: December 7, 2018
Submitted on: June 25, 2018
Keywords: Computer Science - Logic in Computer Science


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