[rocqua]

Wow, I thought it was required to have second order logic for godel to apply, but this seems to be a first order logic that is still undecidable.

[ratmice]

From the other side of the fence, another thing to look at would be the decidability of presburger, and skolem arithmetic, the following paper then goes over the extensions of these, which render the result undecidable. http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.2.21...