# 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.
• 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}
}