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The HST Treasury Program "Advanced Spectral Library Project: Cool Stars" wasdesigned to collect representative, high quality ultraviolet spectra of eightevolved F-M type cool stars. The Space Telescope Imaging Spectrograph (STIS)echelle spectra of these objects enable investigations of a broad range oftopics including stellar and interstellar astrophysics. This paper provides aguide to the spectra of the two evolved M-stars, the M2Iab supergiant Alpha Oriand the M3.4 giant Gamma Cru, with comparisons to the prototypical K1.5 giantAlpha Boo. It includes identifications of the significant atomic and molecularemission and absorption features and discusses the character of thephotospheric and chromospheric continua and line spectra. The fluorescentprocesses responsible for a large portion of the emission line spectrum, thecharacteristics of the stellar winds, and the available diagnostics for hot andcool plasmas are also summarized. This analysis will facilitate the futurestudy of the spectra, outer atmospheres, and winds, not only of these objects,but for numerous other cool, low-gravity stars for years to come.

The Advanced Spectral Library (ASTRAL): Reference Spectra for Evolved M-Stars