May 9, 2019 · Skolem arithmetic is the first-order theory of the natural numbers with multiplication, ... So in notation this would be (N, ⋅) (N,) or Th(N, ⋅) Th (N,). That is, our language consists of just the …

Nov 5, 2012 · Doing arithmetic in one step Ask Question Asked 12 years, 10 months ago Modified 12 years, 5 months ago

Proving that the arithmetic-geometric mean of $1$ and $\sqrt {2}$ is $\pi/\varpi$, where $\varpi$ is the lemniscate constant reference-request intuition pi constants Davide Masi 2,449

Feb 13, 2015 · I'm wondering how (or if) sets can be proven to be unique within certain subsystems of second order arithmetic (such as $\\mathbf{ACA}_0$). I was thinking that we would have a kind of …

Feb 3, 2022 · I am studying this article. But I have trouble with understanding the Buchi arithmetic. It says in section IV: ... Formulas in this fragment generalise classical integer programming and are of …

Mar 22, 2024 · Is there a problem if I don't use $0$ in Peano arithmetic? Ask Question Asked 1 year, 10 months ago Modified 1 year, 10 months ago

Aug 24, 2022 · In the Wikipedia article for (the first-order theory of) Presburger arithmetic, it is stated (among other properties) that Presburger arithmetic is consistent. What meta-theory does he rely on …

Finding common terms of two or more arithmetic sequences Ask Question Asked 9 years, 2 months ago Modified 9 years, 2 months ago

Mar 8, 2024 · Why is a right bit arithmetic where you "carry the MSB" work with the intended semantics (divide by $2^k$ or multiply by $2^k$) for both positive and negative representations of numbers? …

Nov 15, 2012 · If you're talking about an arithmetic sequence with difference $1$ starting at $0$, then every number in the sequence will be a non-negative integer. There's no avoiding that.