[FOM] theory of fields

Rupert McCallum rupertmccallum at yahoo.com
Tue Jun 26 20:21:55 EDT 2007


This occurred to me, but it wasn't obvious to me that you could
determine the truth value of a given sentence in the two element field
in polynomial time.

--- "Robert M. Solovay" <solovay at math.berkeley.edu> wrote:

> The answer to the last question is yes. Use the model that is the two
> 
> element field.
> 
>       --Bob Solovay
> 
> On Mon, 25 Jun 2007, Rupert McCallum wrote:
> 
> > I have two questions. Julia Robinson proved that the theory of
> fields
> > and also the theory of fields of characteristic 0 are undecidable.
> For
> > which primes p is it known whether the theory of fields of
> > characteristic p is undecidable? Also, can the consistency of the
> > theory of fields be proved in Bounded Arithmetic?
> >
> >
> >
> >
>
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