skills/oimiragieo/agent-studio/sequential-thinking

sequential-thinking

SKILL.md

Sequential Thinking Skill

Installation

Optional standalone executor: The skill can run .claude/tools/optimization/sequential-thinking/executor.py. Requirements:

  • Python 3.10+: python.org or winget install Python.Python.3.12 (Windows), brew install python@3.12 (macOS).
  • MCP Python package: pip install mcp
  • If the executor is not present or MCP is not installed, the skill still provides in-context guidance and exits successfully.

Full functionality: The Python script .claude/tools/optimization/sequential-thinking/executor.py must exist for standalone executor runs. Run node .claude/tools/cli/doctor.mjs to verify; doctor warns if the executor is missing.

Cheat Sheet & Best Practices

Frameworks: Polya: (1) Understand the problem (2) Devise a plan (3) Carry out the plan (4) Look back. IDEAL: Identify → Define context → Explore strategies → Act on best → Look back and learn.

Process: Be systematic: preview outcomes, sustain effort, examine from multiple angles, pace and self-monitor. Use diagrams, tables, patterns; break into subgoals; work backwards when useful.

Hacks: Number thoughts (thoughtNumber, totalThoughts); allow revision and branching. Start with an initial step count and refine. Use the MCP sequential-thinking tool for multi-step analysis and hypothesis verification when the full scope is unclear.

Certifications & Training

No cert. Problem-solving frameworks: Polya (Understand → Plan → Execute → Look back), IDEAL (Identify → Define → Explore → Act → Look back). Skill data: Systematic steps; preview outcomes; sustain effort; revise and branch; use diagrams/tables/patterns.

Hooks & Workflows

Suggested hooks: Optional: pre-plan or pre-complex-task hook to suggest sequential-thinking for multi-step tasks. Use with planner (primary) for planning and master-orchestrator when decomposing work.

Workflows: Use with planner (primary). Flow: complex task → load sequential-thinking → emit thoughts (MCP or executor) → revise → act. See core/router-decision for when router assigns planner.

Overview

This skill provides structured problem-solving through a flexible thinking process that can adapt and evolve. Each thought can build on, question, or revise previous insights.

Context Savings: ~97% reduction

  • MCP Mode: ~15,000 tokens always loaded
  • Skill Mode: ~500 tokens metadata + on-demand loading

When to Use

  • Breaking down complex problems into steps
  • Planning and design with room for revision
  • Analysis that might need course correction
  • Problems where the full scope isn't clear initially
  • Multi-step solutions requiring maintained context
  • Filtering irrelevant information
  • Hypothesis generation and verification

Quick Reference

Use the MCP sequential thinking tool directly:

// Via MCP tool
mcp__sequential -
  thinking__sequentialthinking({
    thought: 'First, let me analyze the problem...',
    thoughtNumber: 1,
    totalThoughts: 5,
    nextThoughtNeeded: true,
  });

Tool: sequentialthinking

A detailed tool for dynamic and reflective problem-solving through thoughts.

Parameters

Parameter Type Description
thought string Your current thinking step
thoughtNumber integer Current thought number (1, 2, 3...)
totalThoughts integer Estimated total thoughts needed
nextThoughtNeeded boolean Whether another thought step is needed
isRevision boolean If this thought revises previous thinking
revisesThought integer Which thought number is being reconsidered
branchFromThought integer Branching point thought number
branchId string Identifier for current branch
needsMoreThoughts boolean If more thoughts needed at the "end"

Key Features

  • Adjust totalThoughts up or down as you progress
  • Question or revise previous thoughts
  • Add more thoughts even after reaching what seemed like the end
  • Express uncertainty and explore alternatives
  • Branch or backtrack (non-linear thinking)
  • Generate and verify solution hypotheses

Process

  1. Start with initial estimate of needed thoughts
  2. Feel free to question/revise previous thoughts
  3. Add more thoughts if needed, even at the "end"
  4. Mark thoughts that revise or branch
  5. Generate solution hypothesis when appropriate
  6. Verify hypothesis based on Chain of Thought
  7. Repeat until satisfied
  8. Set nextThoughtNeeded: false only when truly done

Tool Execution

The sequential thinking tool is available via MCP. Use it directly in your responses:

// Execute a thinking step
mcp__sequential -
  thinking__sequentialthinking({
    thought: 'Your analysis here...',
    thoughtNumber: 1,
    totalThoughts: 5,
    nextThoughtNeeded: true,
  });

Configuration

MCP server configuration stored in config.json:

  • Command: npx -y @modelcontextprotocol/server-sequential-thinking

Related

  • Original MCP server: @modelcontextprotocol/server-sequential-thinking
  • MCP Converter Skill: .claude/skills/mcp-converter/

Iron Laws

  1. NEVER set nextThoughtNeeded: false before the solution hypothesis has been verified
  2. ALWAYS adjust totalThoughts dynamically as problem complexity becomes clear
  3. NEVER commit to the first approach without exploring at least one alternative via branching
  4. ALWAYS mark corrections explicitly with isRevision: true and revisesThought: N
  5. NEVER stop at the estimated thought count if the hypothesis remains unverified

Anti-Patterns

Anti-Pattern Why It Fails Correct Approach
Fixed thought count Thinking stops at an arbitrary estimate regardless of solution confidence Set needsMoreThoughts: true and increase totalThoughts when complexity grows
No branching Commits to the first approach without considering alternatives Use branchFromThought to explore multiple solution paths before choosing
Skipping revisions Incorrect assumptions propagate uncorrected through downstream thoughts Mark all corrections with isRevision: true and revisesThought: N
Premature termination Unverified hypothesis leads to incorrect or incomplete solutions Verify the hypothesis explicitly before setting nextThoughtNeeded: false
No uncertainty markers Overconfident conclusions mislead execution agents Mark tentative thoughts explicitly; distinguish confident vs uncertain reasoning

Memory Protocol (MANDATORY)

Before starting: Read .claude/context/memory/learnings.md

After completing:

  • New pattern -> .claude/context/memory/learnings.md
  • Issue found -> .claude/context/memory/issues.md
  • Decision made -> .claude/context/memory/decisions.md

ASSUME INTERRUPTION: If it's not in memory, it didn't happen.

Weekly Installs
56
GitHub Stars
16
First Seen
Jan 27, 2026
Installed on
github-copilot55
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kimi-cli53
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codex53
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