ω -satisfiability, ω -consistency property, and the downward Lowenheim Skolem theorem for L k , k

Ruggero Ferro

Rendiconti del Seminario Matematico della Università di Padova (1982)

  • Volume: 66, page 7-19
  • ISSN: 0041-8994

How to cite

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Ferro, Ruggero. "$\omega $-satisfiability, $\omega $-consistency property, and the downward Lowenheim Skolem theorem for $L_{k,k}$." Rendiconti del Seminario Matematico della Università di Padova 66 (1982): 7-19. <http://eudml.org/doc/107847>.

@article{Ferro1982,
author = {Ferro, Ruggero},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {infinitary languages; omega-satisfiability; omega-chains of models; consistency property; chain models},
language = {eng},
pages = {7-19},
publisher = {Seminario Matematico of the University of Padua},
title = {$\omega $-satisfiability, $\omega $-consistency property, and the downward Lowenheim Skolem theorem for $L_\{k,k\}$},
url = {http://eudml.org/doc/107847},
volume = {66},
year = {1982},
}

TY - JOUR
AU - Ferro, Ruggero
TI - $\omega $-satisfiability, $\omega $-consistency property, and the downward Lowenheim Skolem theorem for $L_{k,k}$
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1982
PB - Seminario Matematico of the University of Padua
VL - 66
SP - 7
EP - 19
LA - eng
KW - infinitary languages; omega-satisfiability; omega-chains of models; consistency property; chain models
UR - http://eudml.org/doc/107847
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. 121-141. Zbl0365.02006MR460065
  3. [3] R. Ferro, An analysis of Karp's interpolation theorem and the notion of consistency property, Rend. Sem. Univ. Padova, 65 (1981). Zbl0485.03014MR653287
  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] H.J. Keisler, Model theory for infinitary logic, North Holland, Amsterdam, 1971. Zbl0222.02064

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