ClaudSkills / Engineering / architecture

Operad Task Decomposition

Q: What is a Claude Code skill and how does the Operad Task Decomposition skill fit in?

A Claude Code skill is a SKILL.md file that lives under ~/.claude/skills/<name>/ and tells the Claude Code CLI agent how to perform a specific task (instructions, prompts, allowed tools). Skills are auto-discovered at session start. Operad Task Decomposition is one of 67,000+ skills indexed in the open ClaudSkills catalog, classified under the Engineering category. Learn more at https://claudskills.com/learn/what-is-skill-md/.

Category: Engineering · Sub-category: architecture · Last updated: 2026-06-08

ai:agent

Use operads to formally model hierarchical task decomposition for multi-agent systems. Covers typed composition, wiring diagrams, and the relationship to DAG-of-agents architectures. Grounded in Spivak's operad work (2013-2020) and Fong & Spivak 'An Invitation to Applied Category Theory' (2019, Chapter 6). Use when decomposing complex tasks for multi-agent execution, designing DAG topologies, validating decomposition type-safety, or building compositional agent workflows. NOT for general category theory education, individual skill creation, or runtime DAG execution.

About this skill (catalog notes)

Operad Task Decomposition includes 13 code blocks for direct copy-paste. At roughly 3,099 words the SKILL.md is on the longer end of the catalog distribution.

Original author: curiositech
Indexed lastmod: 2026-06-08
Catalog position: Engineering · architecture
Indexed related skills: 10

How Operad Task Decomposition fits the catalog

Operad Task Decomposition sits in the Engineering category under the architecture sub-topic in the ClaudSkills catalog. There are 10 related skills indexed alongside it; comparing a few before installing usually reveals which fits your workflow best.

These notes are auto-generated from features detected in the SKILL.md file and from this catalog's structure — they aren't part of the source repository.

From the source SKILL.md

An operad formalizes "a complex thing decomposes into simpler things, and the decomposition itself composes." Each operation has typed inputs and a typed output. Composition is hierarchical: you can plug the output of one operation into the input of another, provided the types match. The composition laws (associativity and identity) guarantee that decomposition is well-defined regardless of the order you assemble the pieces.

What this skill does

Operad Task Decomposition is a community-contributed Claude Code skill in the architecture sub-category. It ships as a SKILL.md file that Claude Code auto-discovers under ~/.claude/skills/operad-task-decomposition/ and loads when your prompt matches the skill's trigger.

When to invoke it: Use when decomposing complex tasks for multi-agent execution, designing DAG topologies, validating decomposition type-safety, or building compositional agent workflows. NOT for general category theory education, individual skill creation, or runtime DAG execution.

Who uses this skill

The Operad Task Decomposition Claude Code skill is built for software engineers, backend developers, full-stack teams, and technical leads building and maintaining production systems. It's part of ClaudSkills (also referred to as Claude Skills or Claude Code Skills) — the open community-curated registry of 94,000+ SKILL.md files for Anthropic's Claude Code agent and the wider Claude ecosystem (Claude API, Claude Agent SDK).

How to install

Free

Manual install (2 steps)

mkdir -p ~/.claude/skills/operad-task-decomposition
curl -L https://claudskills.com/skills/operad-task-decomposition/SKILL.md \
  -o ~/.claude/skills/operad-task-decomposition/SKILL.md

Or just download SKILL.md directly and drop it into ~/.claude/skills/operad-task-decomposition/. Claude Code auto-discovers it on next session.

Skills live at ~/.claude/skills/operad-task-decomposition/SKILL.md on macOS/Linux, or %USERPROFILE%\.claude\skills\operad-task-decomposition\SKILL.md on Windows. See the full install guide for step-by-step instructions.

📱 Install from your phone or desktop Telegram

Open @claudskills_bot on Telegram, tap Open Desktop App, and the desktop app installs this skill for you. Or share the bot link with a colleague — they get the same one-tap install. Learn more →

Pro

One-click install via the desktop app

The ClaudSkills desktop app installs any skill directly into ~/.claude/skills/ with one click — no terminal required. Pro starts at $9/mo or $149 lifetime.

Pro

For the full experience including quality scoring and one-click install features for each skill — upgrade to Pro.

See pricing → Download desktop app

Frequently asked questions

How do I install the Operad Task Decomposition Claude Code skill?

Install via the ClaudSkills desktop app (one click) or copy SKILL.md from the source repository to ~/.claude/skills/operad-task-decomposition/SKILL.md and restart Claude Code. Both flows are detailed at claudskills.com/install/.

What does the Operad Task Decomposition skill do?

Is this skill free to install?

Yes. ClaudSkills is an open registry — every skill keeps its source repository's license, and manual install via copy is free. ClaudSkills Pro ($9/mo, $79/yr, or $149 one-time) adds one-click install via the desktop app and a multi-signal Quality Score.

When should I use the Operad Task Decomposition skill?

Use Operad Task Decomposition when your Claude Code task falls under the Engineering category — specifically in the architecture area. Claude Code auto-discovers installed skills and invokes the right one based on the task description, so you can also ask Claude directly (e.g. "use Operad Task Decomposition" or describe the task and let Claude pick). Browse related skills at /category/engineering/.

What is a Claude Code skill and how does the Operad Task Decomposition skill fit in?

A Claude Code skill is a SKILL.md file that lives under ~/.claude/skills/<name>/ and tells the Claude Code CLI agent how to perform a specific task (instructions, prompts, allowed tools). Skills are auto-discovered at session start. Operad Task Decomposition is one of 67,000+ skills indexed in the open ClaudSkills catalog, classified under the Engineering category. Learn more at /learn/what-is-a-claude-skill/.

Attribution & license

Source: https://github.com/curiositech/port-daddy/blob/HEAD/skills/operad-task-decomposition/SKILL.md
Author: curiositech

Cite this skill

If you reference this skill in a blog post, paper, or documentation, you can cite it as:

APA

curiositech. (2026). Operad Task Decomposition [Claude Code skill]. ClaudSkills. https://claudskills.com/skills/operad-task-decomposition/

BibTeX

@misc{operad-task-decomposition-2026,
  author    = {curiositech},
  title     = {Operad Task Decomposition [Claude Code skill]},
  year      = {2026},
  publisher = {ClaudSkills},
  url       = {https://claudskills.com/skills/operad-task-decomposition/}
}

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