Sequential Thinking
by hotriluan
Apply step-by-step analysis for complex problems with revision capability. Use for multi-step reasoning, hypothesis verification, adaptive planning, problem decomposition, course correction.
Skill Details
Repository Files
15 files in this skill directory
name: sequential-thinking description: Apply step-by-step analysis for complex problems with revision capability. Use for multi-step reasoning, hypothesis verification, adaptive planning, problem decomposition, course correction. 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 historyscripts/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 patternsreferences/examples-api.md- API design examplereferences/examples-debug.md- Debugging examplereferences/examples-architecture.md- Architecture decision examplereferences/advanced-techniques.md- Spiral refinement, hypothesis testing, convergencereferences/advanced-strategies.md- Uncertainty, revision cascades, meta-thinking
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