# Sh:1077

- Shelah, S.
*Random graph: stronger logic but with the zero one law*. Preprint. arXiv: 1511.05383 -
Abstract:

We find a logic really stronger than first order for the random graph with edge probability \frac 12 but satisfies the 0-1 law. This means that on the one hand it satisfies the 0-1 law, e.g. for the random graph {\mathcal G}_{n,1/2} and on the other hand there is a formula \varphi(x) such that for no first order \psi(x) do we have: for every random enough {\mathcal G}_{n,1/2} the formulas \varphi(x),\psi(x) equivalent in it. - Version 2021-07-15 (20p)

Bib entry

@article{Sh:1077, author = {Shelah, Saharon}, title = {{Random graph: stronger logic but with the zero one law}}, note = {\href{https://arxiv.org/abs/1511.05383}{arXiv: 1511.05383}}, arxiv_number = {1511.05383} }