1 Search Results for "Salibra, Antonino"

Document
DOI: 10.4230/LIPIcs.CSL.2012.152
On the equational consistency of order-theoretic models of the lambda-calculus

Authors: Alberto Carraro and Antonino Salibra

Published in: LIPIcs, Volume 16, Computer Science Logic (CSL'12) - 26th International Workshop/21st Annual Conference of the EACSL (2012)

Abstract
Answering a question by Honsell and Plotkin, we show that there are two equations between lambda terms, the so-called subtractive equations, consistent with lambda calculus but not satisfied in any partially ordered model with bottom element. We also relate the subtractive equations to the open problem of the order-incompleteness of lambda calculus.
Cite as

Alberto Carraro and Antonino Salibra. On the equational consistency of order-theoretic models of the lambda-calculus. In Computer Science Logic (CSL'12) - 26th International Workshop/21st Annual Conference of the EACSL. Leibniz International Proceedings in Informatics (LIPIcs), Volume 16, pp. 152-166, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2012)

Copy BibTex To Clipboard

@InProceedings{carraro_et_al:LIPIcs.CSL.2012.152,
  author =	{Carraro, Alberto and Salibra, Antonino},
  title =	{{On the equational consistency of order-theoretic models of the lambda-calculus}},
  booktitle =	{Computer Science Logic (CSL'12) - 26th International Workshop/21st Annual Conference of the EACSL},
  pages =	{152--166},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-42-2},
  ISSN =	{1868-8969},
  year =	{2012},
  volume =	{16},
  editor =	{C\'{e}gielski, Patrick and Durand, Arnaud},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2012.152},
  URN =		{urn:nbn:de:0030-drops-36703},
  doi =		{10.4230/LIPIcs.CSL.2012.152},
  annote =	{Keywords: Lambda calculus, order-incompleteness, partially ordered models}
}
  • Refine by Author
  • 1 Carraro, Alberto
  • 1 Salibra, Antonino

  • Refine by Classification

  • Refine by Keyword
  • 1 Lambda calculus
  • 1 order-incompleteness
  • 1 partially ordered models

  • Refine by Type
  • 1 document

  • Refine by Publication Year
  • 1 2012

Questions / Remarks / Feedback
X

Feedback for Dagstuhl Publishing


Thanks for your feedback!

Feedback submitted

Could not send message

Please try again later or send an E-mail
© 2023-2024 Schloss Dagstuhl – LZI GmbH Imprint Privacy Contact