How does this skill assist with Julia development?

It provides implementation patterns and syntax guidance for AlgebraicRewriting.jl, helping users define and apply rewrite rules to Catlab.jl data structures.

What is the difference between DPO and SqPO?

Double Pushout (DPO) ensures safe deletion by preventing 'dangling edges,' while Sesqui-Pushout (SqPO) is more flexible, supporting operations like vertex cloning.

What is Algebraic Rewriting?

It is a mathematical framework for transforming graphs and structured data based on category theory, allowing for declarative and rigorous data manipulation.

What are C-Sets (acsets)?

C-Sets are generalized data structures used in the AlgebraicJulia ecosystem to represent relational data, including graphs, Petri nets, and chemical reaction networks.

Can this skill be used for machine learning?

Yes, it includes integration patterns for Enzyme.jl, enabling gradient-based learning and autodiff on parameters tied to algebraic rewriting seeds.

Algebraic Graph Rewriting

Name: Algebraic Graph Rewriting
Author: plurigrid

byplurigrid

•

Data Science & ML

Transforms structured data and acsets using category-theoretic graph rewriting techniques like DPO, SPO, and SqPO.

About

This skill empowers Claude to manipulate complex data structures through the lens of category theory using the AlgebraicRewriting.jl framework. It provides specific guidance for defining rewriting rules—consisting of Left (pattern), Interface (preserved), and Right (replacement) components—to perform mathematically rigorous transformations on C-Sets. Whether you are performing safe deletions with Double Pushout (DPO), greedy transformations with Single Pushout (SPO), or vertex cloning with Sesqui-Pushout (SqPO), this skill ensures implementation patterns follow best practices within the AlgebraicJulia ecosystem.

Key Features

Provides structured L-K-R rule definitions for precise graph manipulation
Implements Double Pushout (DPO) for deletion without dangling edges
Integrates with autodiff tools like Enzyme.jl for learned transformation seeds
2 GitHub stars
Declaratively transforms C-Set data structures using Catlab.jl foundations
Supports Sesqui-Pushout (SqPO) for complex cloning and transformation patterns

Use Cases

Modeling chemical reaction networks and topological chemputer transformations
Automating schema migrations and data transformations in acset-based systems
Developing rule-based simulations for biological or physical network models

About

Key Features

Provides structured L-K-R rule definitions for precise graph manipulation
Implements Double Pushout (DPO) for deletion without dangling edges
Integrates with autodiff tools like Enzyme.jl for learned transformation seeds
2 GitHub stars
Declaratively transforms C-Set data structures using Catlab.jl foundations
Supports Sesqui-Pushout (SqPO) for complex cloning and transformation patterns

Use Cases

Modeling chemical reaction networks and topological chemputer transformations
Automating schema migrations and data transformations in acset-based systems
Developing rule-based simulations for biological or physical network models