turing jumps造句
例句与造句
- The hyperarithmetical hierarchy is defined from these iterated Turing jumps.
- The study of arbitrary ( not necessarily recursively enumerable ) Turing degrees involves the study of the Turing jump.
- A second, equivalent, definition shows that the hyperarithmetical sets can be defined using infinitely iterated Turing jumps.
- Post's theorem establishes a relationship between the Turing jump operator and the arithmetical hierarchy of sets of natural numbers.
- Hyperarithmetical theory studies those sets that can be computed from a computable ordinal number of iterates of the Turing jump of the empty set.
- It's difficult to find turing jumps in a sentence. 用turing jumps造句挺难的
- Informally, given a problem, the Turing jump returns the set of Turing machines which halt when given access to an oracle that solves that problem.
- Formally, given a set and a G鰀el numbering of the-computable functions, the "'Turing jump "'of is defined as
- This is a coarser equivalence relation than Turing equivalence; for example, every set of natural numbers is hyperarithmetically equivalent to its Turing jump but not Turing equivalent to its Turing jump.
- This is a coarser equivalence relation than Turing equivalence; for example, every set of natural numbers is hyperarithmetically equivalent to its Turing jump but not Turing equivalent to its Turing jump.
- Post's theorem establishes a close relationship between the Turing jump operation and the arithmetical hierarchy, which is a classification of certain subsets of the natural numbers based on their definability in arithmetic.
- A deep theorem of Shore and Slaman ( 1999 ) states that the function mapping a degree " x " to the degree of its Turing jump is definable in the partial order of the Turing degrees.
- The Turing jump of any set is always of higher Turing degree than the original set, and a theorem of Friedburg shows that any set that computes the Halting problem can be obtained as the Turing jump of another set.
- The Turing jump of any set is always of higher Turing degree than the original set, and a theorem of Friedburg shows that any set that computes the Halting problem can be obtained as the Turing jump of another set.
- For instance, they are all superlow, i . e . sets whose Turing jump is computable from the Halting problem, and form a Turing ideal, i . e . class of sets closed under Turing join and closed downward under Turing reduction.
- Given a set " A ", the " Turing jump " of " A " is a set of natural numbers encoding a solution to the halting problem for oracle Turing machines running with oracle " A ".
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