A hierarchy for cuppable degrees

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Non-cuppable enumeration degrees via finite injury

We exhibit finite injury constructions of a high Σ2 enumeration degree incomparable with all intermediate ∆2 enumeration degrees, as also of both an upwards properly Σ2 high and a low2 noncuppable Σ 0 2 enumeration degree†. We also outline how to apply the same methods to prove that, for every Σ2 enumeration degree b there exists a noncuppable degree a such that b′ ≤ a′ and a′′ ≤ b′′, thus show...

متن کامل

The Jump Hierarchy in the Enumeration Degrees

We show that all levels of the jump hierarchy are first order definable in the local structure of the enumeration degrees.

متن کامل

Degrees of Categoricity and the Hyperarithmetic Hierarchy

We study arithmetic and hyperarithmetic degrees of categoricity. We extend a result of Fokina, Kalimullin, and R. Miller to show that for every computable ordinal α, 0 is the degree of categoricity of some computable structure A. We show additionally that for α a computable successor ordinal, every degree 2-c.e. in and above 0 is a degree of categoricity. We further prove that every degree of c...

متن کامل

Turing Degrees and the Ershov Hierarchy

An n-r.e. set can be defined as the symmetric difference of n recursively enumerable sets. The classes of these sets form a natural hierarchy which became a well-studied topic in recursion theory. In a series of ground-breaking papers, Ershov generalized this hierarchy to transfinite levels based on Kleene’s notations of ordinals and this work lead to a fruitful study of these sets and their ma...

متن کامل

Degrees of Parallelism in the Continuous Type Hierarchy

A degree of parallelism is an equivalence class of Scott-continuous functions which are relatively deenable each other with respect to the language PCF (a paradigmatic sequential language). We introduce an innnite (\bi-dimensional") hierarchy of degrees. This hierarchy is inspired by a representation of rst order continuous functions by means of a class of hypergraphs. We assume some familiarit...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Illinois Journal of Mathematics

سال: 2000

ISSN: 0019-2082

DOI: 10.1215/ijm/1256060420