hyperarithmetic造句

Every recursively enumerable ( or even hyperarithmetic ) nonempty subset of this total ordering has a least element.
Thus the hyperarithmetic hierarchy is studied instead of the Borel hierarchy, and the analytical hierarchy instead of the projective hierarchy.
The central focus of hyperarithmetic theory is the sets of natural numbers known as "'hyperarithmetic sets " '.
The central focus of hyperarithmetic theory is the sets of natural numbers known as "'hyperarithmetic sets " '.
The jump can be iterated into transfinite ordinals : the sets for, where is the Church-Kleene ordinal, are closely related to the hyperarithmetic hierarchy.
This produces that hyperarithmetic hierarchy, which is the lightface analog of the Borel hierarchy . ( The finite levels of the hyperarithmetic hierarchy are known as the arithmetical hierarchy .)
This produces that hyperarithmetic hierarchy, which is the lightface analog of the Borel hierarchy . ( The finite levels of the hyperarithmetic hierarchy are known as the arithmetical hierarchy .)
For instance the x \ in \ mathbb { R } satisfying \ forall ( n \ in \ omega ) \ phi ( x, n ) with \ phi ( x, n ) quantifier free must be computable while the unique x \ in \ omega ^ { \ omega } satisfying a universal formula can be arbitrarily high in the hyperarithmetic hierarchy.
It's difficult to see hyperarithmetic in a sentence. 用hyperarithmetic造句挺难的

Last modified time: Mon, 18 Aug 2025 00:29:56 GMT