paper

The Algebra of Open and Interconnected Systems — Brendan Fong (2016). arXiv:1609.05382 (v1, PDF).

Doctoral thesis introducing hypergraph categories and decorated cospans as the algebra of network-style diagrammatic languages — circuits, signal flow graphs, Markov processes, Petri nets — with semantics given by hypergraph functors.

Sources: the paper, arXiv:1609.05382v1, checked against the arXiv listing. Index: Papers.

Key definitions and results

  • Hypergraph categories; decorated cospans; functorial semantics of networks

Concept notes

Hypergraph Category, Decorated Cospan, Cospan