The settling-time reducibility ordering

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The settling-time reducibility ordering

To each computable enumerable (c.e.) set A with a particular enumeration {As}s∈ω, there is associated a settling function mA(x), where mA(x) is the last stage when a number less than or equal to x was enumerated into A. One c.e. set A is settling time dominated by another set B (B >st A) if for every computable function f , for all but finitely many x, mB(x) > f(mA(x)). This settling-time order...

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ژورنال

عنوان ژورنال: Journal of Symbolic Logic

سال: 2007

ISSN: 0022-4812,1943-5886

DOI: 10.2178/jsl/1191333856