A many-sorted interpolation theorem for

Author:
David R. Guichard

Journal:
Proc. Amer. Math. Soc. **80** (1980), 469-474

MSC:
Primary 03C75; Secondary 03C80

MathSciNet review:
581007

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Abstract: Let *L* be a many-sorted relational language with and consider the logic , infinitary logic with a monotone quantifier. We prove a version of Feferman's Interpolation Theorem for this logic. We then use the theorem to show that for a one-sorted language *L* and a countable admissible fragment of , any sentence which persists for end extensions is equivalent to a sentence.

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DOI:
https://doi.org/10.1090/S0002-9939-1980-0581007-8

Article copyright:
© Copyright 1980
American Mathematical Society