enumerable set उदाहरण वाक्य

उदाहरण वाक्य

1. They built a computably enumerable set that is low for Martin-L�f-randomness but not computable.
2. The recursively enumerable sets, although not decidable in general, have been studied in detail in recursion theory.
3. This is not difficult; WKL 0 implies the existence of separating sets for effectively inseparable recursively enumerable sets.
4. Similarly, the set of logical consequences of any recursively enumerable set of first-order axioms is semidecidable.
5. The term " enumerable " has the same etymology as in computably enumerable sets of natural numbers.
6. Some authors require the class " K " to be definable by a recursively enumerable set of presentations.
7. This is true simply because Diophantine sets, being equal to recursively enumerable sets, are also equal to Turing machines.
8. This implies in particular that every recursively enumerable set is enumerable by some \ mathcal { E } ^ 0-function.
9. Any scheme involving a recursively enumerable set of axioms and regular first-order logic will be subject to the incompleteness theorem.
10. However it does not have a recursively enumerable set of axioms, and thus does not satisfy the hypotheses of the incompleteness theorems.