sequential-thinking

Sequential Thinking Methodology

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Install skill "sequential-thinking" with this command: npx skills add petbrains/mvp-builder/petbrains-mvp-builder-sequential-thinking

Sequential Thinking Methodology

Framework for using /mcp__sequential-thinking__sequentialthinking tool effectively.

Quick Assessment

Skip entirely for: Simple facts, obvious fixes, single-step answers, routine tasks

Apply when:

  • Problem requires 3+ logical steps

  • Multiple valid approaches exist

  • Debugging with unclear root causes

  • Initial confidence <70%

  • State transitions or causal chains involved

Core Framework

  1. Initial Classification

Simple → Skip tool Medium → 3-4 thoughts
Complex → up to 7 thoughts

Define: initial state → goal state → success criteria

  1. State-Based Reasoning

For each thought:

  • Current state: What's true now?

  • Preconditions: What must be true for next action?

  • Effects: How does action change state?

  • Verify: Valid and closer to goal?

  • Check: Success criteria met?

  1. Thought Structure

Thought N: [Hypothesis/Analysis/Action]

  • State: [explicit]
  • Logic: [deduction|induction|abduction|causal]
  • Confidence: X%
  • Next: [what this enables]
  1. Decision Points

Branch (branch_from_thought

  • unique branch_id ):
  • Confidence <60% WITH alternative

  • Contradiction found

  • Equal validity paths (Δ<10%)

Revise (is_revision=true

  • revises_thought ):
  • Fundamental error

  • Precondition false

  • Better approach (>20% gain)

Extend (needs_more_thoughts=true ):

  • Approaching limit but incomplete
  1. Quality Scoring

Start: 0 | Minimum: 5 points

Positive: Clear mechanism (+2), Verified assumption (+2), Resolved contradiction (+2), Valid transition (+1)

Negative: Circular reasoning (-3), Invalid transition (-3), Unverified assumption (-2), Logical leap (-1)

If <5 after 3 thoughts → reassess approach

  1. Convergence Rules
  • Thoughts 1-2: Explore breadth (20%)

  • Thoughts 3-5: Deep dive (60%)

  • Thoughts 6-7: Verify only (20%)

Terminate when: 7 thoughts reached | Confidence >90% for 2 consecutive | Cycling detected | Success met

Code-Specific Additions

Track: Variable states, Pre/postconditions, Resource constraints, Error paths

Verify: Execution traces, Edge cases, Resource cleanup, Thread safety

Natural Language Integration

Use markers like:

  • "Let me work through this systematically..."

  • "This leads me to consider..."

  • "A potential issue here is..."

Never expose: Internal scores, Framework mechanics, Artificial confidence percentages

Meta-Rules

  • Admit uncertainty rather than guess

  • Each thought must advance solution

  • No pure repetition

  • Don't fake confidence to avoid branching

Source Transparency

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