[1703.02197] Graphical Sequent Calculi for Modal Logics
Skip to main content
We gratefully acknowledge support from the Simons Foundation, member institutions, and all contributors. Donate
arXiv logo
Cornell University Logo

Computer Science > Logic in Computer Science

arXiv:1703.02197 (cs)
[Submitted on 7 Mar 2017]

Title:Graphical Sequent Calculi for Modal Logics

Authors:Minghui Ma (Sun Yat-Sen University), Ahti-Veikko Pietarinen (Tallinn University of Technology)
View PDF
Abstract:The syntax of modal graphs is defined in terms of the continuous cut and broken cut following Charles Peirce's notation in the gamma part of his graphical logic of existential graphs. Graphical calculi for normal modal logics are developed based on a reformulation of the graphical calculus for classical propositional logic. These graphical calculi are of the nature of deep inference. The relationship between graphical calculi and sequent calculi for modal logics is shown by translations between graphs and modal formulas.
Comments: In Proceedings M4M9 2017, arXiv:1703.01736
Subjects: Logic in Computer Science (cs.LO)
ACM classes: F.4.1
Cite as: arXiv:1703.02197 [cs.LO]
  (or arXiv:1703.02197v1 [cs.LO] for this version)
  https://doi.org/10.48550/arXiv.1703.02197
Journal reference: EPTCS 243, 2017, pp. 91-103
Related DOI: https://doi.org/10.4204/EPTCS.243.7

Submission history

From: EPTCS [view email] [via EPTCS proxy]
[v1] Tue, 7 Mar 2017 03:16:38 UTC (24 KB)
Full-text links:

Access Paper:

  • View PDF
  • TeX Source
  • Other Formats
view license
Current browse context:
cs.LO
< prev   |   next >
new | recent | 2017-03
Change to browse by:
cs

References & Citations

export BibTeX citation

Bookmark

BibSonomy logo Reddit logo

Bibliographic and Citation Tools

Bibliographic Explorer (What is the Explorer?)
Connected Papers (What is Connected Papers?)
Litmaps (What is Litmaps?)
scite Smart Citations (What are Smart Citations?)

Code, Data and Media Associated with this Article

alphaXiv (What is alphaXiv?)
CatalyzeX Code Finder for Papers (What is CatalyzeX?)
DagsHub (What is DagsHub?)
Gotit.pub (What is GotitPub?)
Hugging Face (What is Huggingface?)
Papers with Code (What is Papers with Code?)
ScienceCast (What is ScienceCast?)

Demos

Replicate (What is Replicate?)
Hugging Face Spaces (What is Spaces?)
TXYZ.AI (What is TXYZ.AI?)

Recommenders and Search Tools

Influence Flower (What are Influence Flowers?)
CORE Recommender (What is CORE?)

arXivLabs: experimental projects with community collaborators

arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.

Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them.

Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.

Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)