Modalities for an Allegorical Conceptual Data Model

Axioms

Bartosz Zieliński¹  Paweł Maślanka² 

[1] Department of Computer Science, Faculty of Physics and Applied Informatics, University of Łódź ul. Pomorska nr 149/153, 90-236 Łódź, Poland;

关键词: allegories;    data modeling;    modal logic;   

DOI  :  10.3390/axioms3020260

来源: mdpi

【 摘 要 】

Allegories are enriched categories generalizing a category of sets and binary relations. In this paper, we extend a new, recently-introduced conceptual data model based on allegories by adding support for modal operators and developing a modal interpretation of the model in any allegory satisfying certain additional (but natural) axioms. The possibility of using different allegories allows us to transparently use alternative logical frameworks, such as fuzzy relations. Mathematically, our work demonstrates how to enrich with modal operators and to give a many world semantics to an abstract algebraic logic framework. We also give some examples of applications of the modal extension.

【 授权许可】

CC BY   
© 2014 by the authors; licensee MDPI, Basel, Switzerland.