catgraph workspace

Category-theoretic graph structures in Rust. The catgraph crate (v0.11.0 slim baseline) is a strict Rust implementation of Fong & Spivak, Hypergraph Categories (2019). Applied-CT extensions and Wolfram-physics extensions live in sibling workspace crates.

Members

Crate	Path	Purpose
catgraph	catgraph/	Strict Fong-Spivak 2019 paper implementation: cospans, spans, Frobenius algebras, hypergraph categories, Theorem 1.2 equivalence
catgraph-physics	catgraph-physics/	Wolfram-physics extensions: hypergraph DPO rewriting, multiway evolution, gauge theory, branchial spectral analysis
catgraph-applied	catgraph-applied/	Applied CT extensions: Petri nets, wiring diagrams, E_n operads, Temperley-Lieb, linear combinations

Sibling repositories

These are separate repos that depend on catgraph and/or catgraph-physics:

Repo	Purpose
catgraph-surreal	SurrealDB persistence layer for catgraph and catgraph-physics types
irreducible	Computational irreducibility framework (Gorard 2023) using catgraph and catgraph-physics

Build

cargo build --workspace
cargo test --workspace
cargo clippy --workspace -- -W clippy::pedantic

Each crate has its own README and CLAUDE.md:

• catgraph/README.md — strict F&S 2019 implementation
• catgraph-physics/README.md — Wolfram-physics extensions
• catgraph-applied/README.md — applied-CT extensions

License

MIT — see LICENSE.