Mark393295827 Atomic Decomposition Skill
Break complex problems into atomic, AI-solvable units with dependency tracking.
MECE+ Principles
| Principle | Description |
|---|---|
| Mutually Exclusive | No overlapping responsibilities |
| Collectively Exhaustive | Complete coverage of the problem |
| Atomic | Indivisible units of work |
| Independent | Solvable without coordination |
Decomposition Template
problem: "[Problem statement]"
atomic_tasks:
- id: T1
action: "[Verb] [Object]"
input: "[What's needed]"
output: "[What's produced]"
agent: "[Assigned agent]"
deps: []
- id: T2
deps: [T1]
# ...
Validation Checklist
Each atomic task must satisfy:
- Single responsibility (one action verb)
- Clear input/output contract
- No implicit dependencies
- Testable completion criteria
- < 100 word description
Dependency Graph Generation
graph LR
subgraph "Parallel Group 1"
T1[Task 1]
T2[Task 2]
end
subgraph "Sequential"
T3[Task 3]
end
T1 --> T3
T2 --> T3
Common Patterns
Feature Implementation
Analyze → Design → Implement → Test → Document
Bug Fix
Reproduce → Diagnose → Fix → Verify → Regress
Refactoring
Audit → Plan → Extract → Transform → Validate
Usage
Called by manager-agent during objective decomposition:
skill: atomic-decomposition
input:
objective: "[User goal]"
constraints: "[Limitations]"
output:
tasks: [atomic task list]
graph: [dependency mermaid]