Recently, we have performed several sets of core-collapse simulation of a non-rotating star with 40Msolar by a general relativistic neutrino-radiation-hydrodynamics code so as to compute quantitatively the dynamics up to the black hole formation as well as the neutrino luminosities and spectra. Employing different hadronic equations of state (EOS), we have demonstrated that the duration of neutrino emissions from this event is sensitive to the stiffness of EOS at supra-nuclear densities and, therefore, that the observation of neutrinos from such an event will provide us with valuable information on the properties of dense and hot hadronic matter. While this approach can not distinguish EOS’s with a similar stiffness: a soft nucleonic EOS and a hyperonic EOS, for example, we find that we can break this degeneracy by analyzing more in detail the time variation of neutrino numbers observed at a terrestrial detector. Performing the Kolmogolov-Smirnov test, which is free from the ambiguity of the distance to the progenitor, we show that the break-up of the degeneracy of hadronic EOS’s is indeed feasible for Galactic events. Ref. Nakazato et al. Physical Review D 81 (2010) 083009