Seq-consistency property and interpolation theorems
Ferro, Ruggero
Rendiconti del Seminario Matematico della Università di Padova, Tome 70 (1983), p. 133-145 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU) 
@article{RSMUP_1983__70__133_0,
     author = {Ferro, Ruggero},
     title = {Seq-consistency property and interpolation theorems},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     volume = {70},
     year = {1983},
     pages = {133-145},
     mrnumber = {742115},
     zbl = {0534.03014},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RSMUP_1983__70__133_0}
}

Ferro, Ruggero. Seq-consistency property and interpolation theorems. Rendiconti del Seminario Matematico della Università di Padova, Tome 70 (1983) pp. 133-145. http://gdmltest.u-ga.fr/item/RSMUP_1983__70__133_0/

[1] A. Baldo, Le tecniche delle proprietà di consistenza nelle logiche L2-k,k rispetto alla nozione di ω-soddisfacibilità e un teorema forte di interpolazione per L2+k,k, Dissertation University of Padova Italy (1981).

[2] E. Cunningham, Chain models: applications of consistency properties and back-and-forth techniques in infinite-quantifier languages, Infinitary Logic: in memorial Carol Karp, Springer-Verlag, Berlin, 1975. | MR 476485

[3] 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, Vol. 55 (1976), pp. 121-141. | Numdam | MR 460065 | Zbl 0365.02006

[4] R. Ferro, Interpolation theorems for L2+k,k, JSL, Vol. 53 (1978), pp. 535-549. | MR 503791 | Zbl 0397.03019

[5] R. Ferro, An analysis of Karp's interpolation theorem and the notion of consistency property, Rend. Sem. Mat. Univ. Padova, Vol. 65 (1981), pp. 111-118. | Numdam | MR 653287 | Zbl 0485.03014

[6] R. Ferro, ω-satisfiability, ω-consistency property, and the downward Lowenheim Skolem theorem for Lk,k, Rend. Sem. Mat. Univ. Padova, Vol. 66 (1981), pp. 7-19. | Numdam | Zbl 0531.03018

[7] C.R. Karp, Infinite quantifier languages and ω-chains of models, Porceedings of the Tarski Symposium, American Mathematical Society, Providence, 1974. | Zbl 0308.02016

[8] S. Maehara - G. Takeuti, Two interpolation theorems for a positive second order predicate calculus, JSL, Vol. 36 (1971), pp. 262-270. | MR 307876 | Zbl 0278.02013