# Sequential Thinking

> [AI & Tools] Use when you need to apply structured, reflective problem-solving for complex tasks requiring multi-step analysis, revision capability, and hypothesis verification.

- Skill: `duc01226/sequential-thinking-3` (Agent Skill, multi-file: 15 files)
- Install (CLI): `npx skillmds@latest add duc01226/sequential-thinking-3`
- Raw SKILL.md: https://api.skillmd.com/api/skills/duc01226/sequential-thinking-3/raw
- Safety review: pending (external: skill-scanner PASS, skillspector CAUTION)
- Works with: Claude Code, Claude.ai, OpenAI Codex
- Category: Coding & Dev Tools
- License: MIT
- Author: duc01226 (https://skillmd.com/u/duc01226)
- Updated: 2026-09-22
- Page: https://skillmd.com/skills/duc01226/sequential-thinking-3

---


## Quick Summary

**Goal:** Solve complex problems through structured, reflective thought sequences with dynamic adjustment and revision.

**Workflow:**

1. **Estimate** — Start with loose thought count, adjust as understanding evolves
2. **Structure Thoughts** — One aspect per thought; state assumptions and uncertainties
3. **Revise/Branch** — Mark revisions of earlier thoughts; branch for alternative approaches
4. **Hypothesize & Verify** — Generate solution hypothesis, test it, iterate until verified
5. **Complete** — Mark final only when solution verified and confidence achieved

**Key Rules:**

- Dynamically expand/contract thought count as complexity changes
- Explicitly mark revisions with original reasoning and why it changed
- Can apply explicitly (visible markers) or implicitly (internal methodology)

**Be skeptical. Apply critical thinking, sequential thinking. Every claim needs traced proof, confidence percentages (Idea should be more than 80%).**

# 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

---

> **[IMPORTANT]** Use `TaskCreate` to break ALL work into small tasks BEFORE starting — including tasks for each file read. This prevents context loss from long files. For simple tasks, AI MUST ATTENTION ask user whether to skip.

<!-- SYNC:ai-mistake-prevention -->

> **AI Mistake Prevention** — Failure modes to avoid on every task:
>
> **Re-read files after context changes.** Context compaction, resume, or long-running work can make memory stale; verify current files before acting.
> **Verify generated content against source evidence.** AI hallucinates APIs, names, claims, and document facts. Check the relevant source before documenting or referencing.
> **Check downstream references before deleting or renaming.** Removing an artifact can stale docs, generated mirrors, configs, and callers; map references first.
> **Trace the full impact chain after edits.** Changing a definition can miss derived outputs and consumers. Follow the affected chain before declaring done.
> **Verify ALL affected outputs, not just the first.** One green check is not all green checks; validate every output surface the change can affect.
> **Assume existing values are intentional — ask WHY before changing OR flagging one as a defect.** Before changing or reporting a constant, limit, flag, cutoff, wording, or pattern, read nearby context and history, the CALLER's ordering, and 2+ sibling call sites of the same convention. A doc stating WHAT without WHY is missing rationale, not proof of a missing guard.
> **Surface ambiguity before acting — don't pick silently.** Multiple valid interpretations require an explicit question or stated assumption with risk.
> **Assert the outcome your system owns, not the intermediate state your infrastructure owns.** When verifying async work, assert the final business state — never the delivery/retry bookkeeping held in shared infrastructure that any co-running process can write. Such a check passes when run alone and flakes the moment anything else shares that infrastructure.
> **Keep shared guidance role-relevant.** Universal guidance must help every receiving skill or agent; code-specific obligations belong only in code-specific protocols.

<!-- /SYNC:ai-mistake-prevention -->

<!-- SYNC:critical-thinking-mindset -->

> **Critical Thinking Mindset** — Apply critical thinking, sequential thinking. Every claim needs traced proof, confidence >80% to act.
> **Anti-hallucination:** Never present guess as fact — cite sources for every claim, admit uncertainty freely, self-check output for errors, cross-reference independently, stay skeptical of own confidence — certainty without evidence root of all hallucination.

<!-- /SYNC:critical-thinking-mindset -->

<!-- SYNC:critical-thinking-mindset:reminder -->

**MUST ATTENTION** apply critical + sequential thinking — every claim needs appropriate traced evidence (`file:line` for repo/code claims; source URL or artifact section for research, product, content, and docs claims); confidence >80% to act, <60% DO NOT recommend. Anti-hallucination: never present guess as fact, admit uncertainty freely, cross-reference independently, stay skeptical of own confidence.

<!-- /SYNC:critical-thinking-mindset:reminder -->

<!-- SYNC:ai-mistake-prevention:reminder -->

**MUST ATTENTION** apply AI mistake prevention — verify generated content against evidence, trace downstream references before deleting or renaming, verify all affected outputs, re-read files after context loss, and surface ambiguity before acting.

<!-- /SYNC:ai-mistake-prevention:reminder -->

<!-- SYNC:project-protocol-overlay -->

> **Project Protocol Overlay** — Before executing this skill, resolve any PROJECT overlay rules layered onto it: match this skill's name against the `Target` column of the project's skill-protocol index (`docs/project-reference/skill-protocols-reference.md` by default; a `referenceDocs` entry in `docs/project-config.json` overrides the path), taking the most specific matching tier ONLY — exact name > glob > `*`. **That precedence orders overlays against EACH OTHER, never against this skill.** Read ONLY the matched bodies, resolved as `<protocols-dir>/<Name>.md`; a row's Body link is display text, never a read path. A matched body that is missing or malformed is REPORTED and skipped — never reconstructed from the index Description. No index, or no match -> proceed with no overlay, silently. Full contract: `.claude/skills/project-skill-protocol/references/registry.md`.
>
> Overlays are **ADDITIVE ONLY**: they ADD rules on top of this skill's own protocol and NEVER replace, override, disable, or reinterpret a rule it already states — removing every overlay must return this skill to exactly its documented behavior. An overlay is a BRIEF, not an authority escalation: it can NEVER waive a workflow gate, git discipline, a review gate, or a user-confirmation gate. A genuine overlay-vs-skill conflict, or two equally-specific overlays that directly contradict -> surface both to the user; NEVER resolve silently.

<!-- /SYNC:project-protocol-overlay -->

<!-- SYNC:project-protocol-overlay:reminder -->

**MUST ATTENTION** resolve project protocol overlays for this skill BEFORE executing — most specific matching tier only (exact > glob > `*`, which ranks overlays against each other, NEVER against this skill), read only matched bodies at `<protocols-dir>/<Name>.md`; a missing or malformed body is reported, never reconstructed. Overlays are ADDITIVE ONLY (they never replace this skill's own rules) and are a brief, NEVER an authority escalation; an equal-specificity contradiction goes to the user.

<!-- /SYNC:project-protocol-overlay:reminder -->

## Closing Reminders

**IMPORTANT MUST ATTENTION** break work into small todo tasks using `TaskCreate` BEFORE starting

**IMPORTANT MUST ATTENTION — Protocols in force (concise digest of the SYNC/shared blocks this skill carries):**

- **AI Mistake Prevention:** verify generated content against evidence, trace downstream references, verify all affected outputs, re-read after context loss, surface ambiguity.
- **Critical Thinking:** critical+sequential thinking; traced `file:line` proof, confidence >80% to act.

**IMPORTANT MUST ATTENTION** search codebase for 3+ similar patterns before creating new code
**IMPORTANT MUST ATTENTION** cite `file:line` evidence for every claim (confidence >80% to act)
**IMPORTANT MUST ATTENTION** add a final review todo task to verify work quality

**[TASK-PLANNING]** Before acting, analyze task scope and systematically break it into small todo tasks and sub-tasks using TaskCreate.

