# An analysis of Karp’s interpolation theorem and the notion of $k$-consistency property

Rendiconti del Seminario Matematico della Università di Padova (1981)

- Volume: 65, page 111-118
- ISSN: 0041-8994

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topFerro, Ruggero. "An analysis of Karp’s interpolation theorem and the notion of $k$-consistency property." Rendiconti del Seminario Matematico della Università di Padova 65 (1981): 111-118. <http://eudml.org/doc/107807>.

@article{Ferro1981,

author = {Ferro, Ruggero},

journal = {Rendiconti del Seminario Matematico della Università di Padova},

keywords = {omega-valid; consistency property; interpolation theorem},

language = {eng},

pages = {111-118},

publisher = {Seminario Matematico of the University of Padua},

title = {An analysis of Karp’s interpolation theorem and the notion of $k$-consistency property},

url = {http://eudml.org/doc/107807},

volume = {65},

year = {1981},

}

TY - JOUR

AU - Ferro, Ruggero

TI - An analysis of Karp’s interpolation theorem and the notion of $k$-consistency property

JO - Rendiconti del Seminario Matematico della Università di Padova

PY - 1981

PB - Seminario Matematico of the University of Padua

VL - 65

SP - 111

EP - 118

LA - eng

KW - omega-valid; consistency property; interpolation theorem

UR - http://eudml.org/doc/107807

ER -

## References

top- [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. MR476485
- [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. Zbl0365.02006MR460065
- [3] R. Ferro, Interpolation theorem for L2+k,k, JSL, 53 (1978), pp. 535-549. Zbl0397.03019MR503791
- [4] C.R. Karp, Infinite quantifier, languages and ω-chains of models, Proceedings of the Tarski Symposium, American Mathematical Society, Providence, 1974. Zbl0308.02016
- [5] J.I. Malitz, In f initary analogs of theorems from first order model theory, JSL, 36 (1971), pp. 216-228. Zbl0232.02037MR290943

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