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)

@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}
}