@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://archive.numdam.org/item/RSMUP_1988__80__1_0/} }
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://archive.numdam.org/item/RSMUP_1988__80__1_0/ LA - en ID - RSMUP_1988__80__1_0 ER -
%0 Journal Article %A Ferro, Ruggero %T $\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 $ %J Rendiconti del Seminario Matematico della Università di Padova %D 1988 %P 1-16 %V 80 %I Seminario Matematico of the University of Padua %U http://archive.numdam.org/item/RSMUP_1988__80__1_0/ %G en %F RSMUP_1988__80__1_0
Ferro, Ruggero. $\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 $. Rendiconti del Seminario Matematico della Università di Padova, Tome 80 (1988), pp. 1-16. http://archive.numdam.org/item/RSMUP_1988__80__1_0/
[1] Opportune scelte di α e β per estendere la nozione di proprietà di consistenza e i teoremi di interpolazione ai linguaggi infinitari Lαβ con opportune nozioni di soddisfacibilità, Dissertation, University of Padova, Italy, 1983.
,[2] Chain models: applications of consistency properties and back-and-forth techniques in infinitary quantifier languages, in Infinitary Logics: in memoriam Carol Karp, Springer-Verlag, Berlin, 1975. | MR
,[3] 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
,[4] Interpolation theorems for L2+k, k, JSL, 43 (1978), pp. 535-549. | MR | Zbl
,[5] Seq-consistency property and interpolation theorems, Rend. Sem. Mat. Univ. Padova, 70 (1983), pp. 133-145. | Numdam | MR | Zbl
,[6] Languages with expressions of infinite length, North Holland, Amsterdam, 1964. | MR | Zbl
,[7] Infinite quantifier languages and ω-chains of models, Proceedings of the Tarski Symposium, American Mathematical Society, Providence, 1974. | Zbl
,[8] Infinitary analogs of theorems from first order model theory, JSL, 36 (1971), pp. 216-228. | MR | Zbl
,