Relative strength of Malitz quantifiers.
نویسندگان
چکیده
منابع مشابه
Elimination of Malitz Quantifiers in Stable Theories
The main result of this paper is (a slightly stronger form of) the following theorem: let T be a countable complete first-order theory which is stable. If, for some a > 1, the Malitz quantifier Ql is eliminable in T then all Malitz quantifiers Qg (β > 0, m > 1) are eliminable in T. This complements results of Baldwin-Kueker [1J and Rothmaler-Tuschik [3]. 1. Introduction. In this paper we consid...
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Rapp [5] proves that the theory of the field N of reals in the language with Magidor-Malitz quantifiers Qi, QZ,... is decidable. The quantifier Q] is interpreted in a structure M by: M~Q",xl . . . . ,x,q) iff there exists a set Be=M, card(B)>~% such that for all distinct b 1 . . . . , b ,e B: M ~ q~[b~, ..., b,]; such a set B is called homogeneous for tp. Using Tarski's classical result on real...
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ژورنال
عنوان ژورنال: Notre Dame Journal of Formal Logic
سال: 1978
ISSN: 0029-4527
DOI: 10.1305/ndjfl/1093888414