Pearl's theorem

Pearl's theorem states that for certain logical structures or models, if a statement is true in every possible scenario, then there must be a logical explanation or proof that confirms its truth. Essentially, it links the idea of universal truth (something being true in all cases) with the existence of a formal proof or reasoning process confirming that truth. This theorem is fundamental in logic and artificial intelligence, helping ensure that what we prove can reliably reflect reality and vice versa. It emphasizes the connection between evidence, proof, and truth in logical systems.