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Reduced products and nonstandard logics1

Published online by Cambridge University Press:  12 March 2014

M. Benda
M. Benda*
Affiliation:
University of Wisconsin, Madison
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Extract

The results of the present paper were announced in [1]. The work is divided into our parts. In the first part we define relations (relations between relational struc tures) and we show their connection with the equivalence of the languages LΚ,λ (Theorem 1). The relations generalize the games Gn (n < ω) of Ehrenfeucht (see [2]) and the conditions (i)–(ii) which were used by Karp in [5].

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 34 , Issue 3 , 17 November 1969 , pp. 424 - 436
Copyright
Copyright © Association for Symbolic Logic 1969

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Footnotes

1

I wish to express my gratitude to Prof. A. Mostowski who greatly encouraged me during the preparation of this paper.

References

[1]Benda, M., Ultraproducts and non-standard logics, Bulletin de l'Académie Polonaise des Sciences, vol. XVI (1968), No. 6.Google Scholar
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