FACTOID # 90: Russia has almost twice as many judges and magistrates as the United States. Meanwhile, the United States has 8 times as much crime.
 
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Encyclopedia > Undecidable

Undecidable has more than one meaning:


In mathematical logic: Mathematical logic is a discipline within mathematics, studying formal systems in relation to the way they encode intuitive concepts of proof and computation as part of the foundations of mathematics. ...

  • A decision problem is undecidable if there is no known algorithm that decides it.
  • "Undecidable" is sometimes used as a synonym of "independent".

  Results from FactBites:
 
Halting problem - Wikipedia, the free encyclopedia (4381 words)
One such consequence of the halting problem's undecidability is that there cannot be a general algorithm that decides whether a given statement about natural numbers is true or not.
Yet another, quite amazing, consequence of the undecidability of the halting problem is Rice's theorem which states that the truth of any non-trivial statement about the function that is defined by an algorithm is undecidable.
The undecidability of the halting problem relies on the fact that algorithms are assumed to have potentially infinite storage: at any one time they can only store finitely many things, but they can always store more and they never run out of memory.
Undecidable - Wikipedia, the free encyclopedia (96 words)
A decision problem is undecidable if there is no known algorithm that decides it.
"Undecidable" is sometimes used as a synonym of "independent".
This is a disambiguation page: a list of articles associated with the same title.
  More results at FactBites »


 

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