Authors: Colin James III
Two seminal rules of inference evaluated as not tautologous. This means the following are also refuted: Buss’s hierarchy of bounded arithmetics does not entirely collapse; Takeuti’s argument implies P ≠ NP; and systems PV and PV−. What follows is that separation of bounded arithmetic using a consistency statement is not viable. Therefore the above are non tautologous fragments of the universal logic VŁ4.
[v1] 2019-04-16 17:41:49
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