Researchers Use AI to Explore Limits of Computation in P vs NP Problem
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Computer scientists debate if P = NP, an unsolved problem about the limits of computation. Researchers used OpenAI's GPT-4 model in a "Socratic dialogue" to reason through the P vs NP problem.
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The authors guided GPT-4 through 97 prompts to reconstruct a formal proof that P does not equal NP. It's unclear if GPT-4's reasoning definitively proves this.
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The approach shows potential for large language models to collaborate with humans on complex problems through multi-turn dialogues.
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The authors pruned unhelpful GPT-4 responses to keep it focused, highlighting the value of selective prompt engineering.
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This work is significant for improving chatbots' reasoning abilities through retrieval-augmented generation and maintaining context over long conversations.
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