@article{RSMUP_1988__80__1_0, author = {Ferro, Ruggero}, title = {$\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 $}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, pages = {1--16}, publisher = {Seminario Matematico of the University of Padua}, volume = {80}, year = {1988}, zbl = {0691.03021}, language = {en}, url = {http://www.numdam.org/item/RSMUP_1988__80__1_0/} }