ω-satisfiability, ω-consistency property, and the downward Lowenheim Skolem theorem for L k,k
Rendiconti del Seminario Matematico della Università di Padova, Tome 66 (1982), pp. 7-19 
@article{RSMUP_1982__66__7_0,
     author = {Ferro, Ruggero},
     title = {$\omega $-satisfiability, $\omega $-consistency property, and the downward {Lowenheim} {Skolem} theorem for $L_{k,k}$},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {7--19},
     year = {1982},
     publisher = {Seminario Matematico of the University of Padua},
     volume = {66},
     zbl = {0531.03018},
     language = {en},
     url = {https://www.numdam.org/item/RSMUP_1982__66__7_0/}
}
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Ferro, Ruggero. $\omega $-satisfiability, $\omega $-consistency property, and the downward Lowenheim Skolem theorem for $L_{k,k}$. Rendiconti del Seminario Matematico della Università di Padova, Tome 66 (1982), pp. 7-19. https://www.numdam.org/item/RSMUP_1982__66__7_0/

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