Date: February 18 2022
Summary: How RDFs can be conceptualized as an ACSet
Keywords: #rdf #acset #graph #triple #archive
W3C, "RDF 1.1 Concepts and Abstract Syntax." https://www.w3.org/TR/rdf11-concepts/ (accessed Feb. 18, 2022).
RDFs can be also formulated as ACSets. To show how this is possible, let's walk through an example on how this happens:
The RDF triples "The sky is colored blue.", "Grass is colored green.", and "The ocean is colored blue" can all be represented as a Directed Multigraph \(G\).
\[ G \]
graph LR sky --is colored--> blue ocean --is colored--> blue grass --is colored--> green
can be thought of as an instance implementation of an ACSet representation of the RDF format. The ACSet schema defined for this family of RDFs can be defined at a higher level abstraction as follows:
Thing --is colored--> Color
Thing represents a generalized Subject Object, Color represents a generalized Resource Object, and is colored defines the Predicate morphism for this Category of RDFs.
TODO: Add connection to acsets note
Zelko, Jacob. How To Imagine an RDF as an ACSet. https://jacobzelko.com/02182022190950-rdf-acset-representation. February 18 2022.