A note on an alleged proof of the relative consistency of P=NP with PA

Details A note on an alleged proof of the relative consistency of P=NP with PA A note on an alleged proof of the relative consistency of P=NP with PA

2000-07-05

arxiv.org/abs/math/0007025v4

Mathematics

Logic

4 pages

Scientific paper

We indicate that an argument of da Costa and Doria in fact proves P=NP. This
observation makes their argument appear dubious. We isolate a weak version of
one of their lemmas which would already prove P=NP. We point out that even this
weak version is probably false. In fact, a generalized form of this weak
version is provably false.

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