Strong Maehara and Takeuti type interpolation theorems for L k , k 2 +

Ruggero Ferro

Rendiconti del Seminario Matematico della Università di Padova (1991)

  • Volume: 85, page 291-307
  • ISSN: 0041-8994

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Ferro, Ruggero. "Strong Maehara and Takeuti type interpolation theorems for $L^{2+}_{k,k}$." Rendiconti del Seminario Matematico della Università di Padova 85 (1991): 291-307. <http://eudml.org/doc/108222>.

@article{Ferro1991,
author = {Ferro, Ruggero},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {infinitary logic; interpolation; infinite quantifier language; chain models},
language = {eng},
pages = {291-307},
publisher = {Seminario Matematico of the University of Padua},
title = {Strong Maehara and Takeuti type interpolation theorems for $L^\{2+\}_\{k,k\}$},
url = {http://eudml.org/doc/108222},
volume = {85},
year = {1991},
}

TY - JOUR
AU - Ferro, Ruggero
TI - Strong Maehara and Takeuti type interpolation theorems for $L^{2+}_{k,k}$
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1991
PB - Seminario Matematico of the University of Padua
VL - 85
SP - 291
EP - 307
LA - eng
KW - infinitary logic; interpolation; infinite quantifier language; chain models
UR - http://eudml.org/doc/108222
ER -

References

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  1. [1] A. Baldo, Complete interpolation theorems for L2+k, k, Bollettino U.M.I. (6), 2-B (1983), pp. 759-777. Zbl0558.03013MR737433
  2. [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. Zbl0222.02008MR282819
  3. [3] 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), pp. 125-142. MR476485
  4. [4] 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. 121-141. Zbl0365.02006MR460065
  5. [5] R. Ferro, Interpolation theorems for L2+k, k, JSL, 53 (1978), pp. 535-549. Zbl0397.03019MR503791
  6. [6] R. Ferro, Seq-consistency property and interpolation theorems, Rend. Sem. Mat. Univ. Padova, 70 (1983), pp. 133-145. Zbl0534.03014MR742115
  7. [7] R. Ferro, ω-soddisfacibilità e teoremi di interpolazione, Atti degli incontri di logica matematica della Scuola di Specializzazione in logica matematica di Siena, Vol. 3, CLEUP, Padova (1987), pp. 187-197. Zbl0666.03029
  8. [8] C. Karp, Infinite quantifier languages and ω-chains of models, Proceedings of the Tarski Symposium, American Mathematical Society, Providence (1974). Zbl0308.02016
  9. [9] S. Maehara - G. Takeuti, Two interpolation theorem for a positive second order predicate calculus, JSL, 36 (1971), pp. 262-270. Zbl0278.02013MR307876
  10. [10] J.I. Malitz, Infinitary analogs of theorems from first order model theory, JSL, 36 (1971), pp. 216-228. Zbl0232.02037MR290943

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