The question is in the title. It is known that $TC$ interprets Robinson Arithmetic $Q$ (Svejdar proved this), but I am interested in seeing the proof of the other direction. My motivation for the question is to study some claims of Edward Nelson and his system of predicative arithmetic which I understand is based on $Q$. If my question is already answered in the literature, please provide the reference. Thanks in advance.
2026-03-31 15:10:42.1774969842
Is Grzegorczyk's theory $TC$ interpretable in Robinson Arithmetic $Q$
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