An analysis of Karp’s interpolation theorem and the notion of k-consistency property
Rendiconti del Seminario Matematico della Università di Padova, Tome 65 (1981), pp. 111-118. 
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     author = {Ferro, Ruggero},
     title = {An analysis of {Karp{\textquoteright}s} interpolation theorem and the notion of $k$-consistency property},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {111--118},
     publisher = {Seminario Matematico of the University of Padua},
     volume = {65},
     year = {1981},
     mrnumber = {653287},
     zbl = {0485.03014},
     language = {en},
     url = {http://archive.numdam.org/item/RSMUP_1981__65__111_0/}
}
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Ferro, Ruggero. An analysis of Karp’s interpolation theorem and the notion of $k$-consistency property. Rendiconti del Seminario Matematico della Università di Padova, Tome 65 (1981), pp. 111-118. http://archive.numdam.org/item/RSMUP_1981__65__111_0/

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[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. 12-141. | Numdam | MR | Zbl

[3] R. Ferro, Interpolation theorem for L2+k,k, JSL, 53 (1978), pp. 535-549. | MR | Zbl

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

[5] J.I. Malitz, In f initary analogs of theorems from first order model theory, JSL, 36 (1971), pp. 216-228. | MR | Zbl