# Sh:1061

- Shelah, S. (2015).
*On failure of 0-1 laws*. In Fields of logic and computation. II, Vol. 9300, Springer, Cham, pp. 293–296. arXiv: 2108.03846 DOI: 10.1007/978-3-319-23534-9_18 MR: 3485653 -
Abstract:

Let \alpha \in (0,1)_{\mathbb{R}} be irrational and G_n = G_{n,1/n^\alpha} be the random graph with edge probability 1/n^\alpha; we know that it satisfies the 0-1 law for first order logic. We deal with the failure of the 0-1 law for stronger logics: \mathbb{L}_{\infty,k},k large enough and the inductive logic. - Version 2015-07-03_13 (4p) published version (4p)

Bib entry

@incollection{Sh:1061, author = {Shelah, Saharon}, title = {{On failure of 0-1 laws}}, booktitle = {{Fields of logic and computation. II}}, series = {Lecture Notes in Comput. Sci.}, volume = {9300}, year = {2015}, pages = {293--296}, publisher = {Springer, Cham}, mrnumber = {3485653}, mrclass = {03C13 (03C75 05C80)}, doi = {10.1007/978-3-319-23534-9_18}, note = {\href{https://arxiv.org/abs/2108.03846}{arXiv: 2108.03846}}, arxiv_number = {2108.03846} }