• A Function-Set Framework: Gene...

Treffer: A Function-Set Framework: General Properties and Applications to Modal Logic

Title:
A Function-Set Framework: General Properties and Applications to Modal Logic
Authors:
Bayzid, Luke, Madeira, Alexandre, Martins, Manuel A.
Source:
Electronic Proceedings in Theoretical Computer Science. 430:1-7
Publication Status:
Preprint
Publisher Information:
Open Publishing Association, 2025.
Publication Year:
2025
Subject Terms:
FOS: Computer and information sciences, Logic in Computer Science, Logic in Computer Science (cs.LO)
Document Type:
Fachzeitschrift Article
Language:
English
ISSN:
2075-2180
DOI:
10.4204/eptcs.430.1
DOI:
10.48550/arxiv.2509.25880
Access URL:
http://arxiv.org/abs/2509.25880
Rights:
CC BY
Accession Number:
edsair.doi.dedup.....cb1c99512efd84c9932ee3d5f5edb7a4
Database:
OpenAIRE

Weitere Informationen

Representations are essential to mathematically model phenomena, but there are many options available. While each of those options provides useful properties with which to solve problems related to the phenomena in study, comparing results between these representations can be non-trivial, as different frameworks are used for different contexts. We present a general structure based on set-theoretic concepts that accommodates many situations related to logical and semantic frameworks. We show the versatility of this approach by presenting alternative constructions of modal logic; in particular, all modal logics can be represented within the framework.
In Proceedings LSFA 2025, arXiv:2509.23739