A lemma on a total function defined over the Baker-Gill-Solovay set of polynomial Turing machines

Mathematics – Logic

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If we establish that the counterexample function for P=NP, if total,
overtakes all total recursive functions when extended over all Turing machines,
then what happens to the same counterexample function when defined over the
so-called Baker-Gill-Solovay (BGS) set of poly machines? We state and prove
here a lemma that tries to answer this query.

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