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:
- Initial estimation: Start with an estimate of thoughts needed, but remain flexible
- Iterative analysis: Work through thoughts sequentially while building context
- Revision capability: Question or revise previous thoughts as understanding deepens
- Branch exploration: Explore alternative approaches when needed
- Hypothesis cycle: Generate hypotheses, verify against thought chain, repeat
- 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:
- Generate hypothesis based on current understanding
- Verify against previous thought chain
- If verification fails, revise or branch
- Repeat until hypothesis is validated
Completion:
- Only set
nextThoughtNeeded: Falsewhen 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