@article{RSMUP_1976__55__123_0, author = {Ferro, Ruggero}, title = {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}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, volume = {56}, year = {1976}, pages = {123-141}, mrnumber = {460065}, zbl = {0365.02006}, language = {en}, url = {http://dml.mathdoc.fr/item/RSMUP_1976__55__123_0} }
Ferro, Ruggero. 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. Rendiconti del Seminario Matematico della Università di Padova, Tome 56 (1976) pp. 123-141. http://gdmltest.u-ga.fr/item/RSMUP_1976__55__123_0/
[1] A. B. SLOMSON, Models and ultraproducts: An introduction, North Holland, Amsterdam, 1969. | MR 269486 | Zbl 0179.31402
-[2] Two interpolation theorems, Proceedings of the Rome conference on model theory, Symposia Mathematica, vol. V, Academic Press, New York, 1970, pp. 5-19. | MR 282819 | Zbl 0222.02008
,[3] Model theory, North Holland, Amsterdam, 1973.
- ,[4] Consistency property for uncountable finite-quantifier languages, Doctoral Dissertation, University of Maryland, 1972.
,[5] Languages with formulas of infinite length, Doctoral Dissertation, University of Southern California, 1959.
,[6] Languages with expressions of infinite length, North Holland, Amsterdam, 1964. | MR 176910 | Zbl 0127.00901
,[7] Infinite quantifier languages and ω-chain of models, to appear in the forthcoming Proceedings of the Tarski Symposium. | Zbl 0308.02016
,[8] Model theory for infinitary languages, North Holland, Amsterdam, 1971. | MR 344115 | Zbl 0222.02064
,[9] Two interpolation theorems for a positive second order predicate calculus, Journal of Symbolic Logic, 36 (1971), pp. 262-270. | MR 307876 | Zbl 0278.02013
- ,[10] On the model theory of denumerably long formulas with finite strings of quantifiers, Journal of Symbolic Logic, 34 (1969), pp. 437-459. | MR 255383 | Zbl 0235.02050
,[11] Problems in the model theory of infinitary languages, Doctoral Dissertation, University of California, Berkeley, 1966.
,[12] Introduction to mathematical logic, Van Nostrand, Princeton, 1964. | MR 164867 | Zbl 0192.01901
,[13] First order logic, Springer-Verlag, Berlin, 1968. | MR 243994 | Zbl 0172.28901
,