[FOM] Re: Addition with Primality: Decidability and Heuristics
Zahidi Karim
zahidi at logique.jussieu.fr
Mon Aug 9 10:26:23 EDT 2004
Perhaps this is unknown to some people (at leats it hasn't come up in the
discussion so far) but there is a paper proving the undecidability of
addition and primality assuming Schinzel's Hypothesis. It appeared in the
Journal of Symbolic Logic in the mid nineties. The authors include Alan
Woods and Jockusch. The show that, assuming Schinzel's Hypothesis, one
dcan define the image of a polynomial of degree at least 2 from which the
undecidability the follows. A slight refinement of their result, due to
Maurice Boffa only needs the linear case of Schinzel's Hypothesis.
Karim Zahidid
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