1 Search Results for "Perini Brogi, Cosimo"

Document
DOI: 10.4230/LIPIcs.ITP.2021.26
A Formal Proof of Modal Completeness for Provability Logic

Authors: Marco Maggesi and Cosimo Perini Brogi

Published in: LIPIcs, Volume 193, 12th International Conference on Interactive Theorem Proving (ITP 2021)

Abstract
This work presents a formalized proof of modal completeness for Gödel-Löb provability logic (GL) in the HOL Light theorem prover. We describe the code we developed, and discuss some details of our implementation. In particular, we show how we adapted the proof in the Boolos' monograph according to the formal language and tools at hand. The strategy we develop here overcomes the technical difficulty due to the non-compactness of GL, and simplify the implementation. Moreover, it can be applied to other normal modal systems with minimal changes.
Cite as

Marco Maggesi and Cosimo Perini Brogi. A Formal Proof of Modal Completeness for Provability Logic. In 12th International Conference on Interactive Theorem Proving (ITP 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 193, pp. 26:1-26:18, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2021)

Copy BibTex To Clipboard

@InProceedings{maggesi_et_al:LIPIcs.ITP.2021.26,
  author =	{Maggesi, Marco and Perini Brogi, Cosimo},
  title =	{{A Formal Proof of Modal Completeness for Provability Logic}},
  booktitle =	{12th International Conference on Interactive Theorem Proving (ITP 2021)},
  pages =	{26:1--26:18},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-188-7},
  ISSN =	{1868-8969},
  year =	{2021},
  volume =	{193},
  editor =	{Cohen, Liron and Kaliszyk, Cezary},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.ITP.2021.26},
  URN =		{urn:nbn:de:0030-drops-139215},
  doi =		{10.4230/LIPIcs.ITP.2021.26},
  annote =	{Keywords: Provability Logic, Higher-Order Logic, Mechanized Mathematics, HOL Light Theorem Prover}
}
  • Refine by Author
  • 1 Maggesi, Marco
  • 1 Perini Brogi, Cosimo

  • Refine by Classification
  • 1 Theory of computation → Automated reasoning
  • 1 Theory of computation → Higher order logic
  • 1 Theory of computation → Modal and temporal logics

  • Refine by Keyword
  • 1 HOL Light Theorem Prover
  • 1 Higher-Order Logic
  • 1 Mechanized Mathematics
  • 1 Provability Logic

  • Refine by Type
  • 1 document

  • Refine by Publication Year
  • 1 2021

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