Topos Adhesive Rewriting

소개

This skill provides a specialized framework for pattern matching and rewriting within adhesive categories, specifically designed for incremental computation and efficient data updates. By decomposing queries into subobjects and analyzing interactions between rules and states, it allows developers to update answer sets efficiently without recomputing from scratch. It is particularly valuable for applications involving complex graph databases, agent-based modeling, and categorical data structures where states evolve through formal rewrite rules, transforming unrooted search problems into more efficient rooted ones.

주요 기능

• Pattern matching and rewriting based on category theory monomorphisms
• 2 GitHub stars
• Incremental query updating via adhesive cube decompositions
• Support for batch updates through colimit-based multi-rule application
• Rooted search transformation for efficient subgraph isomorphism
• Integration with Julia-based algebraic rewriting and C-Set categories

사용 사례

• Optimizing collaboration network analysis in research interactomes
• Modeling agent-based systems where formal rules modify complex state structures
• Maintaining real-time query results in evolving graph databases