How does this skill identify issues in my codebase?

It uses tree-sitter to analyze your AST and computes cohomology groups; if H1 obstructions are found, it indicates that your module interfaces are logically incompatible.

Does this skill work with any programming language?

Yes, while it includes specific tree-sitter integrations for languages like Clojure, the underlying topological principles apply to any modular system or data schema.

What is the primary benefit of using Sheaf Cohomology for code?

It provides a mathematical guarantee that local code patches fit together into a globally consistent system, preventing subtle integration errors that standard compilers might miss.

What is a 'cocycle condition' in the context of programming?

A cocycle condition ensures that transition functions between multiple modules (like imports and exports) are consistent when they overlap, preventing circular or conflicting logic.

Sheaf Cohomology Verification

Name: Sheaf Cohomology Verification
Author: plurigrid

byplurigrid

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Security & Testing

Verifies global consistency across modular codebases using topological sheaf cohomology and Čech descent conditions.

Sheaf Cohomology is a specialized verification skill designed to ensure that locally consistent code patches and data schemas glue together into a globally correct structure. By applying mathematical concepts like Čech cohomology and cocycle conditions, it detects 'obstructions' in module boundaries, imports, and type systems that might lead to integration failures. Integrated with tree-sitter for AST-level analysis, it provides a rigorous framework for refactoring safety and cross-module compatibility, identifying exactly where local definitions fail to meet global architectural requirements.

Key Features

01Simplicial complex nerve construction to visualize coverage and overlaps

02Descent condition verification for ensuring valid morphism transitions

037 GitHub stars

04Čech cohomology verification for local-to-global consistency checks

05AST-level analysis using tree-sitter integration for deep code structure validation

06Obstruction detection (H1/H2) to identify specific gluing failures between modules

Use Cases

01Verifying that local code modifications satisfy global structural and architectural constraints

02Validating type consistency and interface compatibility across large-scale modular refactors

03Ensuring distributed data schemas remain consistent across microservices or complex API layers

What are Skills?·How to Install

Install with 🐟 Skill.Fish

npx skillfish add plurigrid/asi sheaf-cohomology

For use in Claude.ai and ChatGPT

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