TY - JOUR AU - Ferro, Ruggero TI - $\lambda $-satisfiability, $\lambda $-consistency property, the downward Lowenheim Skolem theorem, and the failure of the interpolation theorem for $L_{k,k}$ with $k$ a strong limit cardinal of cofinality $\lambda $ JO - Rendiconti del Seminario Matematico della Università di Padova PY - 1988 SP - 1 EP - 16 VL - 80 PB - Seminario Matematico of the University of Padua UR - http://www.numdam.org/item/RSMUP_1988__80__1_0/ LA - en ID - RSMUP_1988__80__1_0 ER -