Without an independent grip on what feasible computation means apart from any formal model, the claim that F characterizes FP in a machine-independent way is circular rather than substantive.
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Machine-independent(computer science and computation theory)
A description or rule that stays true no matter what kind of computer or device you use to run it—it's about the idea itself, not the specific machine.
substantive(classification of linguistic forms by their role in expressing categories of thought)
The linguistic form required to express thought's apprehension of independent objects