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 55 (1976), pp. 123-141.
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     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},
     pages = {123--141},
     publisher = {Seminario Matematico of the University of Padua},
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     year = {1976},
     mrnumber = {460065},
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     url = {http://archive.numdam.org/item/RSMUP_1976__55__123_0/}
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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 55 (1976), pp. 123-141. http://archive.numdam.org/item/RSMUP_1976__55__123_0/

[1] J.L. Bell - A. B. SLOMSON, Models and ultraproducts: An introduction, North Holland, Amsterdam, 1969. | MR | Zbl

[2] C.C. Chang, Two interpolation theorems, Proceedings of the Rome conference on model theory, Symposia Mathematica, vol. V, Academic Press, New York, 1970, pp. 5-19. | MR | Zbl

[3] C.C. Chang - H.J. Kiesler, Model theory, North Holland, Amsterdam, 1973.

[4] J. Green, Consistency property for uncountable finite-quantifier languages, Doctoral Dissertation, University of Maryland, 1972.

[5] C.R. Karp, Languages with formulas of infinite length, Doctoral Dissertation, University of Southern California, 1959.

[6] C.R. Karp, Languages with expressions of infinite length, North Holland, Amsterdam, 1964. | MR | Zbl

[7] C.R. Karp, Infinite quantifier languages and ω-chain of models, to appear in the forthcoming Proceedings of the Tarski Symposium. | Zbl

[8] H.J. Keisler, Model theory for infinitary languages, North Holland, Amsterdam, 1971. | MR | Zbl

[9] S. Maehara - G. Takeuti, Two interpolation theorems for a positive second order predicate calculus, Journal of Symbolic Logic, 36 (1971), pp. 262-270. | MR | Zbl

[10] M. Makkai, On the model theory of denumerably long formulas with finite strings of quantifiers, Journal of Symbolic Logic, 34 (1969), pp. 437-459. | MR | Zbl

[11] J.I. Malitz, Problems in the model theory of infinitary languages, Doctoral Dissertation, University of California, Berkeley, 1966.

[12] E. Mendelson, Introduction to mathematical logic, Van Nostrand, Princeton, 1964. | MR | Zbl

[13] R.M. Smullyan, First order logic, Springer-Verlag, Berlin, 1968. | MR | Zbl