ω-satisfiability, ω-consistency property, and the downward Lowenheim Skolem theorem for L k,k
Ferro, Ruggero
Rendiconti del Seminario Matematico della Università di Padova, Tome 68 (1982), p. 7-19 / Harvested from Numdam
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Publié le : 1982-01-01
@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},
     volume = {68},
     year = {1982},
     pages = {7-19},
     zbl = {0531.03018},
     language = {en},
     url = {http://dml.mathdoc.fr/item/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 68 (1982) pp. 7-19. http://gdmltest.u-ga.fr/item/RSMUP_1982__66__7_0/

[1] E. Cunningham, 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 476485

[2] R. Ferro, 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 460065 | Zbl 0365.02006

[3] R. Ferro, An analysis of Karp's interpolation theorem and the notion of consistency property, Rend. Sem. Univ. Padova, 65 (1981). | Numdam | MR 653287 | Zbl 0485.03014

[4] C.R. Karp, Infinite quantifier languages and ω-chains of models, Proceedings of the Tarski Symposium, American Mathematical Society, Providence, 1974. | Zbl 0308.02016

[5] H.J. Keisler, Model theory for infinitary logic, North Holland, Amsterdam, 1971. | Zbl 0222.02064