Similarities between Computability theory and Hyperarithmetical theory
Computability theory and Hyperarithmetical theory have 14 things in common (in Unionpedia): Alpha recursion theory, Analytical hierarchy, Arithmetical hierarchy, Computable function, Effective descriptive set theory, Many-one reduction, Natural number, Peano axioms, Second-order arithmetic, Set theory, Tarski's undefinability theorem, Turing degree, Turing jump, Turing reduction.
Alpha recursion theory
In recursion theory, α recursion theory is a generalisation of recursion theory to subsets of admissible ordinals \alpha.
Alpha recursion theory and Computability theory · Alpha recursion theory and Hyperarithmetical theory ·
Analytical hierarchy
In mathematical logic and descriptive set theory, the analytical hierarchy is an extension of the arithmetical hierarchy.
Analytical hierarchy and Computability theory · Analytical hierarchy and Hyperarithmetical theory ·
Arithmetical hierarchy
In mathematical logic, the arithmetical hierarchy, arithmetic hierarchy or Kleene–Mostowski hierarchy classifies certain sets based on the complexity of formulas that define them.
Arithmetical hierarchy and Computability theory · Arithmetical hierarchy and Hyperarithmetical theory ·
Computable function
Computable functions are the basic objects of study in computability theory.
Computability theory and Computable function · Computable function and Hyperarithmetical theory ·
Effective descriptive set theory
Effective descriptive set theory is the branch of descriptive set theory dealing with sets of reals having lightface definitions; that is, definitions that do not require an arbitrary real parameter (Moschovakis 1980).
Computability theory and Effective descriptive set theory · Effective descriptive set theory and Hyperarithmetical theory ·
Many-one reduction
In computability theory and computational complexity theory, a many-one reduction is a reduction which converts instances of one decision problem into instances of a second decision problem.
Computability theory and Many-one reduction · Hyperarithmetical theory and Many-one reduction ·
Natural number
In mathematics, the natural numbers are those used for counting (as in "there are six coins on the table") and ordering (as in "this is the third largest city in the country").
Computability theory and Natural number · Hyperarithmetical theory and Natural number ·
Peano axioms
In mathematical logic, the Peano axioms, also known as the Dedekind–Peano axioms or the Peano postulates, are axioms for the natural numbers presented by the 19th century Italian mathematician Giuseppe Peano.
Computability theory and Peano axioms · Hyperarithmetical theory and Peano axioms ·
Second-order arithmetic
In mathematical logic, second-order arithmetic is a collection of axiomatic systems that formalize the natural numbers and their subsets.
Computability theory and Second-order arithmetic · Hyperarithmetical theory and Second-order arithmetic ·
Set theory
Set theory is a branch of mathematical logic that studies sets, which informally are collections of objects.
Computability theory and Set theory · Hyperarithmetical theory and Set theory ·
Tarski's undefinability theorem
Tarski's undefinability theorem, stated and proved by Alfred Tarski in 1936, is an important limitative result in mathematical logic, the foundations of mathematics, and in formal semantics.
Computability theory and Tarski's undefinability theorem · Hyperarithmetical theory and Tarski's undefinability theorem ·
Turing degree
In computer science and mathematical logic the Turing degree (named after Alan Turing) or degree of unsolvability of a set of natural numbers measures the level of algorithmic unsolvability of the set.
Computability theory and Turing degree · Hyperarithmetical theory and Turing degree ·
Turing jump
In computability theory, the Turing jump or Turing jump operator, named for Alan Turing, is an operation that assigns to each decision problem a successively harder decision problem with the property that is not decidable by an oracle machine with an oracle for.
Computability theory and Turing jump · Hyperarithmetical theory and Turing jump ·
Turing reduction
In computability theory, a Turing reduction from a problem A to a problem B, is a reduction which solves A, assuming the solution to B is already known (Rogers 1967, Soare 1987).
Computability theory and Turing reduction · Hyperarithmetical theory and Turing reduction ·
The list above answers the following questions
- What Computability theory and Hyperarithmetical theory have in common
- What are the similarities between Computability theory and Hyperarithmetical theory
Computability theory and Hyperarithmetical theory Comparison
Computability theory has 101 relations, while Hyperarithmetical theory has 25. As they have in common 14, the Jaccard index is 11.11% = 14 / (101 + 25).
References
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