Sequential Thinking

A structured approach to complex problem-solving that breaks down challenges into iterative thought steps with built-in flexibility for revision and course correction.

When to Use This Skill

• Breaking down complex problems into manageable steps
• Planning and design requiring iterative refinement
• Analysis that might need course correction mid-stream
• Problems where the full scope emerges during analysis
• Multi-step solutions requiring context across steps
• Filtering out irrelevant information
• Hypothesis generation and verification workflows

Core Methodology

Sequential thinking follows a dynamic process:

1. Initial estimation: Start with an estimate of thoughts needed, but remain flexible
2. Iterative analysis: Work through thoughts sequentially while building context
3. Revision capability: Question or revise previous thoughts as understanding deepens
4. Branch exploration: Explore alternative approaches when needed
5. Hypothesis cycle: Generate hypotheses, verify against thought chain, repeat
6. Convergence: Continue until reaching a satisfactory solution

Instructions

Thought Structure

Each thought in the sequence should include:

• thought: Current thinking step content
• thoughtNumber: Position in sequence (1, 2, 3, ...)
• totalThoughts: Current estimate of total thoughts needed (adjustable)
• nextThoughtNeeded: Whether another thought step is required

Optional revision/branching metadata:

• isRevision: Boolean indicating if reconsidering previous thinking
• revisesThought: Which thought number is being revised
• branchFromThought: Branching point thought number
• branchId: Identifier for current branch
• needsMoreThoughts: Flag when reaching end but requiring more analysis

Process Guidelines

Starting out:

• Estimate initial thoughts needed based on problem complexity
• Begin with thought 1, establishing context and approach
• Set totalThoughts conservatively; you can adjust later

During analysis:

• Build on previous thoughts while maintaining context
• Filter out irrelevant information at each step
• Express uncertainty when present
• Don't hesitate to revise if you spot errors or better approaches
• Adjust totalThoughts up/down as the problem's scope becomes clearer

Revision pattern: When reconsidering previous thinking:

{
  "thought": "On reflection, thought 3's assumption about X was incorrect because Y...",
  "thoughtNumber": 6,
  "totalThoughts": 10,
  "isRevision": True,
  "revisesThought": 3,
  "nextThoughtNeeded": True
}

Hypothesis cycle:

1. Generate hypothesis based on current understanding
2. Verify against previous thought chain
3. If verification fails, revise or branch
4. Repeat until hypothesis is validated

Completion:

• Only set nextThoughtNeeded: False when truly satisfied with the solution
• Provide a single, clear final answer
• Ensure the answer directly addresses the original problem

Working with Context

Maintain continuity:

• Reference specific previous thoughts by number
• Build logical connections between thoughts
• Track which thoughts are still valid vs. revised

Filter information:

• Ignore details irrelevant to current thought step
• Focus on information that advances understanding
• Re-evaluate relevance as context evolves

Manage complexity:

• If a thought becomes too complex, break it into multiple thoughts
• Increase totalThoughts estimate accordingly
• Keep each individual thought focused

Output Format

Present your sequential thinking in a structured format:

Thought [N/Total]: [Current thought content]
[If revision: "This revises thought X because..."]
[If branching: "Branching from thought X to explore..."]

[Continue with next thought when nextThoughtNeeded is True]

Final output after all thoughts complete:
Solution: [Clear, direct answer to the original problem]

Examples

For concrete examples of sequential thinking in action, see resources/examples.md.

Key Principles

• Flexibility over rigidity: Adjust your approach as understanding deepens
• Revision is strength: Correcting course shows good reasoning
• Hypothesis-driven: Generate and test hypotheses iteratively
• Context-aware: Maintain awareness of previous thoughts while progressing
• Clarity at completion: Deliver a single, clear final answer