  We study the dynamical fermionization of strongly interacting one-dimensional
bosons in Tonks-Girardeau limit by solving the time dependent many-boson
Schr\"odinger equation numerically exactly. We establish that the one-body
momentum distribution approaches the ideal Fermi gas distribution at the time
of dynamical fermionization. The analysis is further complemented by the
measures on two-body level. Investigation on two-body momentum distribution,
two-body local and non-local correlation clearly distinguish the fermionized
bosons from non-interacting fermions. The magnitude of distinguishablity
between the two systems is further discussed employing suitable measures of
information theory, i.e., the well known Kullback-Leibler relative entropy and
the Jensen-Shannon divergence entropy. We also observe very rich structure in
the higher-body density for strongly correlated bosons whereas non-interacting
fermions do not possess any higher order correlation beyond two-body.
