# Is it possible that $L=NP$?

According to Wikipedia and other sources, the question whether $$L=P$$ is an open problem, and of course everyone is familiar with the problem of whether $$P=NP$$. However, I found absolutely no information online regarding a possible equality between $$L$$ and $$NP$$.

Such an equality doesn't directly violate the space-hierarchy theorem or the time-hierarchy theorem, and so I don't have any idea how to disprove it.

The question whether $$L = NP$$ is an open problem [1], so yes, it is possible. However, it is considered unlikely, or in other words, most believe that $$L \subsetneq P \subsetneq NP \subsetneq PSPACE$$, but we only know that $$L \subsetneq PSPACE$$ [2, 3].