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Chain of Thoughtlessness? An Analysis of CoT in Planning

NeurIPS 2024 · Large language models › Reasoning and chain of thought · approach: Chain-of-thought training and analysis · 9 citations (OpenAlex)

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Case study showing chain-of-thought prompts help LLMs on Blocksworld planning only when prompts are highly problem-specific, and gains collapse as stack size grows beyond demonstrated examples; similar failures appear in scaled CoinFlip, letter concatenation, and arithmetic tasks.

Problem

Whether chain-of-thought prompting teaches LLMs general algorithmic procedures that transfer out of distribution to larger or more general planning and reasoning instances.

Approach

Systematically varies CoT prompt specificity (zero-shot, progression proof, Blocksworld universal algorithm, stacking, lexicographic stacking) and problem size on scalable Blocksworld instances, and builds scalable variants of CoinFlip, LastLetterConcatenation, and single-digit arithmetic to test whether CoT gains generalize in length.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use the table-to-stack-specific Stacking Prompt instead of zero-shot promptingGPT-4-Turbo · table-to-stack Blocksworld (261 instances)accuracy: 19.1% -> 40.6%Helped
Use the table-to-stack-specific Stacking Prompt instead of zero-shot promptingGPT-4 · table-to-stack Blocksworld (261 instances)accuracy: 3.83% -> 59.3%Helped
Use a general progression-proof CoT prompt instead of Domain-Specific n-shot examplesGPT-4-Turbo · table-to-stack Blocksworld (261 instances)accuracy: 13.7% -> 15.3%Mixed
Use the Blocksworld Universal Algorithm instead of Domain-Specific n-shot examplesGPT-4 · table-to-stack Blocksworld (261 instances)accuracy: 6.13% -> 51.3%Helped
Add zero-shot CoTGPT-4-Turbo · CoinFlipaccuracy: 56.38% -> 95.71%Helped
Add manual CoT examplesGPT-4-Turbo · LastLetterConcatenationaccuracy: 10.00% -> 51.06%Helped
Add manual CoT examplesGPT-4-Turbo · single-digit arithmeticaccuracy: 24.13% -> 50.43%Helped
Add manual CoT examplesGPT-4-Turbo · LastVowelConcatenationaccuracy: 5.75% -> 27.00%Helped
Add manual CoT examplesGPT-4-Turbo · FoomLetterConcatenationaccuracy: 1.81% -> 26.00%Helped
Add manual CoT examplesGPT-4-Turbo · arithmetic with single-digit intermediate answersaccuracy: 45.60% -> 69.31%Helped
Give explicit single-digit intermediate-answer information with zero-shot CoTGPT-4-Turbo · arithmetic with single-digit intermediate answersaccuracy: 45.60% -> 42.76%Hurt
Use incorrect rather than manual CoT examples (ablation)GPT-4-Turbo · CoinFlipaccuracy: 98.89% -> 96.76%Hurt

Surprising findings

Limitations

Experimental setup

Datasets: Blocksworld (PDDL-generated instances) CoinFlip LastLetterConcatenation GSM8K

Benchmarks: Blocksworld table-to-stack CoinFlip (scaled) LastLetterConcatenation (scaled) LastVowelConcatenation FoomLetterConcatenation single-digit multi-step arithmetic

Metrics: accuracy Levenshtein distance

Baselines: zero-shot prompting zero-shot CoT n-shot prompting self-consistency Fast Downward

Builds on: chain-of-thought prompting zero-shot CoT self-consistency PDDL

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