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What do you think of integrating propositional logic, first order logic and sat solvers in LLM output? ie forcing each symbol an LLM outputs to have its place in a formal proposition. And getting a prompt from the user to force that some parts be satisfiable.

I know this is not how us humans craft our thoughts, but maybe an AI can optimize to death the conjunction of these tools. The LLM just being an universal API to the core of formal logic.




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