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Understanding of Turing's Answer to the Entscheidungsproblem

It is not correct. Robinson arithmetic system is finite axioms system, which is incomplete same as Peano axioms system.
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Unpacking the notion of "hardest instances" for NP-complete problems

This would imply that for every NP-complete problem, there is a "hardest instance" of the problem that cannot be solved in polynomiall time. No. This is incorrect. For every single ...
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