enumerable set sentence in Hindi
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- This method is primarily used to construct recursively enumerable sets with particular properties.
- It is complete but does not have a recursively enumerable set of axioms.
- Yuri Matiyasevich utilized a method involving Fibonacci numbers, which computably enumerable set is Diophantine.
- The Matiyasevich / MDRP theorem has shown that recursively enumerable sets are equivalent to Diophantine sets.
- The domain of any universal computable function is a computably enumerable set but never a computable set.
- The preimage of a recursively enumerable set under a partial recursive function is a recursively enumerable set.
- The preimage of a recursively enumerable set under a partial recursive function is a recursively enumerable set.
- Other texts use the definition in terms of enumerations, which is equivalent for recursively enumerable sets.
- The set of all provable sentences in an effective axiomatic system is always a recursively enumerable set.
- As intermediate results, Post defined natural types of recursively enumerable sets like the hypersimple and hyperhypersimple sets.
- They built a computably enumerable set that is low for Martin-L�f-randomness but not computable.
- The recursively enumerable sets, although not decidable in general, have been studied in detail in recursion theory.
- This is not difficult; WKL 0 implies the existence of separating sets for effectively inseparable recursively enumerable sets.
- Similarly, the set of logical consequences of any recursively enumerable set of first-order axioms is semidecidable.
- The term " enumerable " has the same etymology as in computably enumerable sets of natural numbers.
- Some authors require the class " K " to be definable by a recursively enumerable set of presentations.
- This is true simply because Diophantine sets, being equal to recursively enumerable sets, are also equal to Turing machines.
- This implies in particular that every recursively enumerable set is enumerable by some \ mathcal { E } ^ 0-function.
- Any scheme involving a recursively enumerable set of axioms and regular first-order logic will be subject to the incompleteness theorem.
- However it does not have a recursively enumerable set of axioms, and thus does not satisfy the hypotheses of the incompleteness theorems.
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