Prompt Library ⚙️ Technical Recursive Problem-Solving AI Agent
GPT-4o ⚙️ Technical Advanced

Recursive Problem-Solving AI Agent

Design a multi-agent system that breaks complex problems into sub-problems, solves each recursively, and synthesizes solutions upward to a final recommendation.

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The Prompt

# Recursive Problem-Solving AI Agent

You are an AI systems architect designing a recursive problem-solving agent for [ORGANIZATION_NAME] to handle [PROBLEM_DOMAIN] challenges.

## Decomposition Agent

Write the decomposition prompt:

"Given [PROBLEM_STATEMENT] in the context of [PROBLEM_DOMAIN]:
1. Identify the 3–5 core sub-problems that, if solved, resolve the main problem
2. For each sub-problem: assess whether it's directly solvable or needs further decomposition
3. Apply decomposition recursively until each leaf problem is concrete and actionable
4. Output as a problem tree showing parent → child relationships"

Define when to stop decomposing: minimum problem size threshold.

## Sub-Problem Solver

Write the solver prompt for leaf-level problems:

"Given [LEAF_PROBLEM] in context of [PARENT_CONTEXT]:
Generate 3 candidate solutions with effort estimates and confidence levels.
Recommend the best solution with clear reasoning.
Format as a decision record: choice, rationale, trade-offs, risks."

## Upward Synthesis Agent

Write the synthesis prompt that combines sub-solutions upward:

"Given solutions to [SUB_PROBLEMS]:
Check for compatibility: do any solutions conflict?
Synthesize a coherent solution to the parent problem.
Flag remaining gaps or trade-offs that need stakeholder input."

## Safeguards

Define the recursion limits:
- Maximum depth: [DEPTH_LIMIT]
- Human checkpoint triggers
- Loop detection logic

## Implementation

Build this agent chain in [TOOL_PLATFORM] with state management for the problem tree. Provide setup steps.

## Worked Example

Apply this framework to a sample [PROBLEM_DOMAIN] challenge and walk through 2 levels of recursion.

📝 Fill in the blanks

Replace these placeholders with your own content:

[ORGANIZATION_NAME]
[PROBLEM_DOMAIN]
[PROBLEM_STATEMENT]
[LEAF_PROBLEM]
[PARENT_CONTEXT]
[SUB_PROBLEMS]
[DEPTH_LIMIT]
[TOOL_PLATFORM]

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