mcp-categorical

Compose type-safe MCP servers using category-theory patterns.

6|1|Updated Nov 29, 2025
One-click install
npx skills add https://github.com/manutej/categorical-meta-prompting --skill mcp-categorical
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: mcp-categorical
Source: https://github.com/manutej/categorical-meta-prompting/tree/main/.claude/skills/mcp-categorical
Command: npx skills add https://github.com/manutej/categorical-meta-prompting --skill mcp-categorical

SYSTEM DOCUMENTATION & REQUIREMENTS

What problem does it solve?

Software teams building MCP servers often struggle with composing tools while preserving type-safety and predictable behavior. This Skill provides a framework that maps MCP concepts to category-theory patterns, enabling clean tool composition and typed context management.

Core Features & Use Cases

  • Kleisli-style tool composition for reliable, chainable morphisms.
  • Typed context management with URIs for resource identity.
  • Cross-language MCP server examples and practical design guidance for composable tool ecosystems.
  • Real-world use case: design an MCP server that fetches data, parses it, and integrates with a typed context.

Quick Start

Start by scaffolding a basic MCP server, register at least two tools with input schemas, compose them into a pipeline, and run the server to expose the API. Then test with a prompt like "Create a tool that fetches a URL and extracts a JSON field."

Frequently Asked Questions about mcp-categorical

High-intent search queries and answers about installing and using this skill.

FAQPage Schema
How do I compose MCP server tools while preserving type-safety?

You can compose MCP server tools safely by applying Kleisli-style composition patterns, which ensure chainable morphisms and predictable behavior. This categorical approach maps tool integration to mathematical structures, enforcing type-safe context management across your tool ecosystem.

What is Kleisli-style composition for tool ecosystems?

Kleisli-style composition is a category-theory pattern for chaining tools where outputs feed safely into subsequent inputs. It guarantees repeatable, type-safe integrations by enforcing structured morphisms between composable tools within your MCP server.

Does MCP categorical tool composition work with TypeScript and Python environments?

Yes, categorical tool composition supports cross-language MCP server development across both TypeScript and Python environments. It provides practical design guidance and examples for building typed tool networks in either language.

How do I scaffold a basic MCP server and register tools for pipeline composition?

To scaffold an MCP server, register at least two tools with input schemas, compose them into a pipeline, and run the server to expose the API. You can then test the composed tools using a prompt to fetch and parse data.

Can I use zod-based parameter validation for MCP context management?

Yes, you can enforce zod-based parameter validation to guarantee type-safe integrations and typed context management. This approach uses natural transformations and URIs for resource identity to maintain predictable tool behavior.