@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}, publisher = {Seminario Matematico of the University of Padua}, volume = {66}, year = {1982}, zbl = {0531.03018}, language = {en}, url = {http://www.numdam.org/item/RSMUP_1982__66__7_0/} }
TY - JOUR AU - Ferro, Ruggero TI - $\omega $-satisfiability, $\omega $-consistency property, and the downward Lowenheim Skolem theorem for $L_{k,k}$ JO - Rendiconti del Seminario Matematico della Università di Padova PY - 1982 SP - 7 EP - 19 VL - 66 PB - Seminario Matematico of the University of Padua UR - http://www.numdam.org/item/RSMUP_1982__66__7_0/ LA - en ID - RSMUP_1982__66__7_0 ER -
%0 Journal Article %A Ferro, Ruggero %T $\omega $-satisfiability, $\omega $-consistency property, and the downward Lowenheim Skolem theorem for $L_{k,k}$ %J Rendiconti del Seminario Matematico della Università di Padova %D 1982 %P 7-19 %V 66 %I Seminario Matematico of the University of Padua %U http://www.numdam.org/item/RSMUP_1982__66__7_0/ %G en %F RSMUP_1982__66__7_0
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. http://www.numdam.org/item/RSMUP_1982__66__7_0/
[1] Chain models: applications of consistency properties and back-and-forth techniques in infinite-quantifier languages, Infinitary Logic: in memoriam Carol Karp, Springer-Verlag, Berlin, 1975. | MR
,[2] Consistency property and model existence theorem for second order negative languages with conjunctions and quantifications over sets of cardinality smaller than a strong limit cardinal of denumerable cofinality, Rend. Sem. Mat. Univ. Padova, 55 (1976), pp. 121-141. | Numdam | MR | Zbl
,[3] An analysis of Karp's interpolation theorem and the notion of consistency property, Rend. Sem. Univ. Padova, 65 (1981). | Numdam | MR | Zbl
,[4] Infinite quantifier languages and ω-chains of models, Proceedings of the Tarski Symposium, American Mathematical Society, Providence, 1974. | Zbl
,[5] Model theory for infinitary logic, North Holland, Amsterdam, 1971. | Zbl
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