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doanchienthangdev

thinking-sequentially

by doanchienthangdev

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2🍴 1📅 2026年1月21日
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SKILL.md


name: thinking-sequentially description: AI agent structures complex reasoning through numbered thought sequences with explicit dependencies. Use when facing multi-step problems, complex debugging, or architectural decisions. category: methodology triggers:

  • sequential thinking
  • step by step
  • reasoning chain
  • thought process
  • complex problem

Thinking Sequentially

Purpose

Structure complex reasoning through numbered thought sequences:

  • Decompose multi-step problems into traceable chains
  • Track dependencies between insights explicitly
  • Create checkpoints for periodic review
  • Enable revision when assumptions change
  • Support parallel hypothesis exploration

Quick Start

  1. Define - State the problem clearly as THOUGHT 1
  2. Decompose - Break into numbered thoughts with dependencies
  3. Track - Mark dependencies explicitly: "depends on THOUGHT 2"
  4. Checkpoint - Summarize every 5-10 thoughts
  5. Revise - Update thoughts when assumptions change, invalidate dependents
  6. Branch - Explore parallel hypotheses when needed

Features

FeatureDescriptionGuide
Numbered ChainsExplicit THOUGHT 1, 2, 3... with IDsNumber every insight, never skip
DependenciesMark what each thought relies on[THOUGHT 4] <- depends on [2, 3]
CheckpointsPeriodic summaries of findingsEvery 5-10 thoughts, list key findings
RevisionsUpdate previous thoughts with new dataMark original as revised, create new
BranchingExplore multiple hypotheses in parallelCreate named branches, select winner
Visual MapsDiagram thought relationshipsASCII diagrams for complex chains

Common Patterns

# Problem Analysis Pattern
THOUGHT 1: Problem statement
THOUGHT 2: Success criteria
THOUGHT 3: Constraints
THOUGHT 4: Assumptions (validate!)
THOUGHT 5-N: Solution exploration
=== CHECKPOINT ===

# Decision Making Pattern
THOUGHT 1: Decision to make
THOUGHT 2: Options identified
THOUGHT 3-N: Evaluate each option
THOUGHT N+1: Comparison matrix
THOUGHT N+2: Recommendation

# Investigation Pattern
THOUGHT 1: What we observed
THOUGHT 2: What we expected
THOUGHT 3: Gap analysis
THOUGHT 4-N: Hypothesis testing
=== CHECKPOINT: Root cause ===
# Visual thought mapping
        [THOUGHT 1: Problem]
               |
    +----------+----------+
    |                     |
[THOUGHT 2]         [THOUGHT 3]
    |                     |
    +----------+----------+
               |
        [THOUGHT 4: Synthesis]

Use Cases

  • Multi-step debugging requiring traceable reasoning chains
  • Architectural decisions with complex trade-off analysis
  • Code review requiring systematic examination of multiple concerns
  • Root cause analysis with hypothesis tracking
  • Complex refactoring requiring dependency-aware planning

Best Practices

DoAvoid
Number every thought explicitlySkipping numbers for "obvious" thoughts
Mark dependencies clearlyHiding dependencies in prose
Summarize at checkpointsExceeding 20 thoughts without checkpoint
Allow revision with reasonDeleting invalid thoughts (strike through)
Time-box each thoughtInfinite exploration without bounds
Branch for parallel explorationBranching more than 3 levels deep
Validate assumptions earlyProceeding with invalidated dependencies

See also these related skill documents for complementary techniques:

  • writing-plans - Structure plans as numbered thought sequences
  • debugging-systematically - Apply sequential debugging steps
  • tracing-root-causes - Use numbered investigation chains
  • brainstorming-ideas - Generate options in thought steps

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