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You are mixing up LLMs with Transformers. Transformers with memory are Turing complete, but AFAIK, current state of the art LLMs aren't trained with any kind of memory.

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I'm not. The paper specifically deals with language models in particular. Memory is just dynamically inserted context

Ok. I see. Sorry.

So as I see it, it's possible to teach SOTA LLM with prompts to emulate a state machine part of the Turing machine. Am I right?

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