On multiply-exponential write-once Turing machines
  In this work we analyze the multiply-exponential complexity classes for write-once Turing machines, i.e. machines that can write to a given tape cell at most once. We show that $k$-DExpWOSpace = $k$-DExpWOTime = $k$-ExpTime and the nondeterministic counterpart. For alternating machines we show that $k$-AExpWOTime = $k$-AExpTime = $k-1$-ExpSpace. 
Maciej Zielenkiewicz, Aleksy Schubert, Jacek Chrz\k{a}szcz
cs.CC cs.FL