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topos-adhesive-rewriting

Official

Adhesive categories for incremental query updating.

Education & Research#graphs#rewriting#pattern-matching#incremental-computation#adhesive-categories
Authorplurigrid
Version1.0.0
Installs0

System Documentation

What problem does it solve?

Adhesive categories provide a general setting for pattern matching and rewrite rules in a way that pushouts along monomorphisms behave well, enabling efficient incremental computation.

Core Features & Use Cases

  • Incremental Query Updating: Update results efficiently when inputs change.
  • Decompositions: Q ≅ Q_G +_{Q_L} Q_R factorization.
  • Interactions: Pullback squares between patterns and rewrite rules.
  • Rooted Search: Turn subgraph isomorphism into rooted search problems.
  • Complements: Use ∼A to optimize boundaries.

Quick Start

Run adhesive tooling: just adhesive-decompose QUERY just adhesive-update STATE RULE MATCH

Dependency Matrix

Required Modules

None required

Components

Standard package

💻 Claude Code Installation

Recommended: Let Claude install automatically. Simply copy and paste the text below to Claude Code.

Please help me install this Skill:
Name: topos-adhesive-rewriting
Download link: https://github.com/plurigrid/asi/archive/main.zip#topos-adhesive-rewriting

Please download this .zip file, extract it, and install it in the .claude/skills/ directory.
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