Seq-consistency property and interpolation theorems

 Access to full text

 Full (PDF)

1. [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. [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. MR476485
3. [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. Zbl0365.02006MR460065
4. [4] R. Ferro, Interpolation theorems for L2+k, k, JSL, Vol. 53 (1978), pp. 535-549. Zbl0397.03019MR503791
5. [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. Zbl0485.03014MR653287
6. [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. Zbl0531.03018
7. [7] C.R. Karp, Infinite quantifier languages and ω-chains of models, Porceedings of the Tarski Symposium, American Mathematical Society, Providence, 1974. Zbl0308.02016
8. [8] S. Maehara - G. Takeuti, Two interpolation theorems for a positive second order predicate calculus, JSL, Vol. 36 (1971), pp. 262-270. Zbl0278.02013MR307876

1. Stefano Baratella, Karp's interpolation theorem for some classes of infinitary languages
2. Ruggero Ferro, Strong Maehara and Takeuti type interpolation theorems for $L_{k,k}^{2+}$
3. Ruggero Ferro, $\lambda$-satisfiability, $\lambda$-consistency property, the downward Lowenheim Skolem theorem, and the failure of the interpolation theorem for $L_{k,k}$ with $k$ a strong limit cardinal of cofinality $\lambda$
4. Ruggero Ferro, Strong Maehara and Takeuti type interpolation theorems for $L_{k,k}^{2+}$