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Apply structured, reflective problem-solving for complex tasks requiring multi-step analysis, revision capability, and hypothesis verification. Use for complex problem decomposition, adaptive planning, analysis needing course correction, problems with unclear scope, multi-step solutions, and hypothesis-driven work.

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SKILL.md

name sequential-thinking
description Apply structured, reflective problem-solving for complex tasks requiring multi-step analysis, revision capability, and hypothesis verification. Use for complex problem decomposition, adaptive planning, analysis needing course correction, problems with unclear scope, multi-step solutions, and hypothesis-driven work.
version 1.0.0
license MIT

Sequential Thinking

Structured problem-solving via manageable, reflective thought sequences with dynamic adjustment.

When to Apply

  • Complex problem decomposition
  • Adaptive planning with revision capability
  • Analysis needing course correction
  • Problems with unclear/emerging scope
  • Multi-step solutions requiring context maintenance
  • Hypothesis-driven investigation/debugging

Core Process

1. Start with Loose Estimate

Thought 1/5: [Initial analysis]

Adjust dynamically as understanding evolves.

2. Structure Each Thought

  • Build on previous context explicitly
  • Address one aspect per thought
  • State assumptions, uncertainties, realizations
  • Signal what next thought should address

3. Apply Dynamic Adjustment

  • Expand: More complexity discovered → increase total
  • Contract: Simpler than expected → decrease total
  • Revise: New insight invalidates previous → mark revision
  • Branch: Multiple approaches → explore alternatives

4. Use Revision When Needed

Thought 5/8 [REVISION of Thought 2]: [Corrected understanding]
- Original: [What was stated]
- Why revised: [New insight]
- Impact: [What changes]

5. Branch for Alternatives

Thought 4/7 [BRANCH A from Thought 2]: [Approach A]
Thought 4/7 [BRANCH B from Thought 2]: [Approach B]

Compare explicitly, converge with decision rationale.

6. Generate & Verify Hypotheses

Thought 6/9 [HYPOTHESIS]: [Proposed solution]
Thought 7/9 [VERIFICATION]: [Test results]

Iterate until hypothesis verified.

7. Complete Only When Ready

Mark final: Thought N/N [FINAL]

Complete when:

  • Solution verified
  • All critical aspects addressed
  • Confidence achieved
  • No outstanding uncertainties

Application Modes

Explicit: Use visible thought markers when complexity warrants visible reasoning or user requests breakdown.

Implicit: Apply methodology internally for routine problem-solving where thinking aids accuracy without cluttering response.

Scripts (Optional)

Optional scripts for deterministic validation/tracking:

  • scripts/process-thought.js - Validate & track thoughts with history
  • scripts/format-thought.js - Format for display (box/markdown/simple)

See README.md for usage examples. Use when validation/persistence needed; otherwise apply methodology directly.

References

Load when deeper understanding needed:

  • references/core-patterns.md - Revision & branching patterns
  • references/examples-api.md - API design example
  • references/examples-debug.md - Debugging example
  • references/examples-architecture.md - Architecture decision example
  • references/advanced-techniques.md - Spiral refinement, hypothesis testing, convergence
  • references/advanced-strategies.md - Uncertainty, revision cascades, meta-thinking