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

Ruggero Ferro

Rendiconti del Seminario Matematico della Università di Padova (1981)

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

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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 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

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  1. [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. [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. [3] R. Ferro, Interpolation theorem for L2+k,k, JSL, 53 (1978), pp. 535-549. Zbl0397.03019MR503791
  4. [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. [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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