Earlier quoted context omitted.
It’s curious how they solve unsolved math problems without reasoning. Maybe I have a different definition of reasoning than you.
Guess what? SAT solvers have also solved unsolved math problems. Do you believe they are “reasoning”?
LLMs are different in that they operate on semantic features of program state. Embedding vectors assign semantic features to syntactical structures of the vector space. Operations on these syntactical structures allow the LLM to engage with semantic features of program state directly. Here the reasoning process is contained within as an object of manipulation. An LLM sensitive to the semantic features of the input sequence and that examines the logically permissible moves to derive a new sequence closer to the intended sequence (some statement to prove) just is engaging in reasoning.