Schloss Dagstuhl - Leibniz-Zentrum für Informatik GmbH Schloss Dagstuhl - Leibniz-Zentrum für Informatik GmbH scholarly article en Guerrieri, Giulio; Pellissier, Luc; Tortora de Falco, Lorenzo https://www.dagstuhl.de/lipics License: Creative Commons Attribution 3.0 Unported license (CC-BY 3.0)
when quoting this document, please refer to the following
DOI:
URN: urn:nbn:de:0030-drops-60031
URL:

; ;

Computing Connected Proof(-Structure)s From Their Taylor Expansion

pdf-format:


Abstract

We show that every connected Multiplicative Exponential Linear Logic (MELL) proof-structure (with or without cuts) is uniquely determined by a well-chosen element of its Taylor expansion: the one obtained by taking two copies of the content of each box. As a consequence, the relational
model is injective with respect to connected MELL proof-structures.

BibTeX - Entry

@InProceedings{guerrieri_et_al:LIPIcs:2016:6003,
  author =	{Giulio Guerrieri and Luc Pellissier and Lorenzo Tortora de Falco},
  title =	{{Computing Connected Proof(-Structure)s From Their Taylor Expansion}},
  booktitle =	{1st International Conference on Formal Structures for Computation and Deduction (FSCD 2016)},
  pages =	{20:1--20:18},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-010-1},
  ISSN =	{1868-8969},
  year =	{2016},
  volume =	{52},
  editor =	{Delia Kesner and Brigitte Pientka},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2016/6003},
  URN =		{urn:nbn:de:0030-drops-60031},
  doi =		{10.4230/LIPIcs.FSCD.2016.20},
  annote =	{Keywords: proof-nets, (differential) linear logic, relational model, Taylor expansion}
}

Keywords: proof-nets, (differential) linear logic, relational model, Taylor expansion
Seminar: 1st International Conference on Formal Structures for Computation and Deduction (FSCD 2016)
Issue date: 2016
Date of publication: 17.06.2016


DROPS-Home | Fulltext Search | Imprint | Privacy Published by LZI