sequential-thinking（顺序思维）

DEPRECATED — Sonnet 4 and Opus 4 handle structured chain-of-thought natively, including revision, branching, and scope adjustment. This skill no longer provides meaningful uplift over the base model. Retained for reference only.

Sequential Thinking

Structured, reflective problem-solving methodology that replaces the Sequential Thinking MCP server's sequentialthinking tool with zero-cost instructional prompting.

Replaces: @modelcontextprotocol/server-sequential-thinking (1 tool, ~1,800 tokens/turn saved)

Quick Reference

Prerequisites

None. This skill is pure methodology — no CLI tools, APIs, or authentication required.

Core Methodology

Structured Problem Solving Protocol

When facing a complex, multi-step problem, follow this protocol. The key behaviors that the MCP tool enforced mechanically are now expressed as explicit steps.

1. Scope Assessment

Before diving in, estimate the problem's complexity and declare it explicitly.

"This requires approximately N steps. Here's my decomposition:..."

Map the problem into 3–7 sub-goals. If you can't decompose it, that's a signal the problem needs clarification first — ask before proceeding.

2. Numbered Step Execution

Work through each step with explicit structure:

• Step N of M — State the sub-goal for this step
• Show the reasoning or work
• State the intermediate conclusion
• Explicitly connect to the next step: "This means for step N+1, we need to..."

Do not skip ahead. Each step must produce a concrete, verifiable intermediate result.

3. Revision Checkpoints

After every 3–4 steps, perform a mandatory self-check:

Checkpoint: Am I still on the right track? - Do earlier conclusions still hold given what I've learned? - Has the problem scope changed? - Are my assumptions still valid?

If revision is needed, be explicit:

Revising Step N: My earlier conclusion that [X] was wrong because [Y]. The corrected conclusion is [Z]. This affects steps [list downstream impacts].

This replaces the MCP's isRevision and revisesThought parameters. The key behavior is: name what changed, why, and what it invalidates downstream.

4. Branch Exploration

When multiple viable approaches exist, don't silently pick one. Make the fork visible:

Branch Point (from Step N): Approach A — [Label]: [Brief description and likely outcome] Approach B — [Label]: [Brief description and likely outcome] Evaluating: [1–2 sentence comparison on key trade-off] Committing to Approach [X] because [rationale].

This replaces the MCP's branchFromThought and branchId parameters. The value is making the decision point and rationale explicit, not the mechanical branching.

For especially consequential forks, briefly explore both branches (2–3 steps each) before committing, rather than choosing upfront.

5. Dynamic Scope Adjustment

If you realize mid-analysis that the problem is larger or smaller than estimated:

Scope Update: Originally estimated N steps, now estimating M because [reason].

This replaces needsMoreThoughts and totalThoughts adjustment. Don't artificially compress reasoning to fit an initial estimate — accuracy matters more than prediction.

6. Verification and Conclusion

Before presenting a final answer, always:

1. Restate the original problem in your own words
2. Trace the solution path: "Steps 1→3→5 established [X], steps 4→6 established [Y]"
3. Verify against all stated constraints and requirements
4. Flag remaining uncertainties or assumptions
5. Conclude only when all constraints are satisfied

Verification: Does this solution satisfy all requirements? - [Requirement 1]: ✓ Satisfied by [step reference] - [Requirement 2]: ✓ Satisfied by [step reference] - [Requirement 3]: ⚠ Partially — [explain gap and mitigation]

This replaces the nextThoughtNeeded=false terminal condition. The MCP required explicit signaling that thinking was complete; the methodology achieves this through the verification checklist.

Output Format

A sequential thinking session produces output with the following structure:

• Numbered thoughts — each labeled Step N of M with a sub-goal statement, reasoning, and intermediate conclusion
• Revision markers — inline Revising Step N: blocks that name what changed, why, and which downstream steps are affected
• Branch indicators — Branch Point (from Step N): blocks listing approaches with a commitment statement and rationale
• Scope updates — Scope Update: lines when the estimated step count changes mid-analysis
• Verification block — a final checklist confirming each requirement is satisfied, with step references; flags unresolved uncertainties before concluding

Calibration Rules

• Match depth to complexity: Simple problems (single decision, clear constraints) warrant 3-5 thoughts. Moderate problems (multi-step with trade-offs) warrant 5-10. Complex problems (architecture, debugging cascading failures, formal reasoning) warrant 10 or more — do not compress artificially.
• Revisions signal quality: A thinking session that revises earlier steps is more reliable than one that proceeds linearly without self-correction. Revision is not failure; it is the methodology working as intended.
• Prefer depth over breadth: Explore fewer branches more thoroughly rather than listing many options shallowly. A branch is worth exploring only if the choice between approaches materially changes the outcome.
• Scope honesty: If the initial step estimate was wrong, update it explicitly. An accurate mid-course correction is better than forcing conclusions to fit an outdated estimate.

Common Workflows

Deep Debugging

When diagnosing a complex bug or system issue:

1. Reproduce — State the observed vs expected behavior precisely
2. Hypothesize — Generate 2–3 candidate root causes, ranked by likelihood
3. Narrow — For the top hypothesis, identify the minimal test that would confirm or refute it
4. Test — Execute the test, observe the result
5. Iterate — If refuted, move to next hypothesis. If confirmed, trace to root cause
6. Verify fix — Confirm the fix addresses the root cause without regression

Use Branch Exploration at step 2 to make competing hypotheses explicit.

Architectural Decision Making

For system design or technology choices:

1. Frame — State the decision, constraints, and evaluation criteria with weights
2. Enumerate — List viable options (aim for 3–5)
3. Evaluate — Score each option against criteria; use a decision matrix
4. Stress-test — For the top 1–2 options, probe failure modes and edge cases
5. Decide — Commit with explicit rationale and documented trade-offs
6. Record — State what would cause you to revisit this decision

Mathematical / Formal Reasoning

For proofs, derivations, or formal verification:

1. State the claim or goal precisely
2. Identify the proof strategy (direct, contradiction, induction, construction)
3. Execute step by step, with each step justified by a named rule or lemma
4. Check each step's validity before proceeding
5. Verify the proof is complete (all cases covered, no gaps)

Use Revision Checkpoints aggressively — formal reasoning has high cascading-error risk.

Error Handling

Limitations

• No persistent state across conversations. The MCP server maintained a thought history within a session. This methodology relies on the conversation context window instead, which is equivalent within a single conversation but doesn't persist across sessions.
• No programmatic thought graph. The MCP returned structured JSON for each thought step, which could theoretically be consumed by other tools. The methodology produces natural language instead. In practice, the MCP's JSON output was rarely consumed programmatically.
• Self-discipline required. The MCP mechanically enforced step numbering and checkpoint structure. The methodology relies on Claude following the protocol. In practice, explicit instructions are as reliable as tool-call enforcement for reasoning patterns.

Token Savings Analysis

The Sequential Thinking MCP is one of the highest-ROI conversions because it consumes substantial schema tokens on every turn while providing functionality that Claude can replicate natively through prompting.