Turing Machines: Classifying for Decidable Problems

In summary, the conversation discusses the concept of a machine that can decide on all Turing decidable problems and whether it would belong to a specific class or not. The speaker also clarifies the definition of a decidable problem and raises the possibility of a Universal Turing Machine.
  • #1
Gear300
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It's been a while since I've done this, but the question spurred on. Is there any sort of named class that a machine that can decide on all Turing decidable problems would belong to?

Edit: Actually, I guess it would be Turing if you could program it to decide on a particular problem.
 
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  • #2
Can you rephrase your question a bit?

Are you looking for actual code in Java or C++ or some generic algorithm?
 
  • #3
Gear300 said:
It's been a while since I've done this, but the question spurred on. Is there any sort of named class that a machine that can decide on all Turing decidable problems would belong to?

Edit: Actually, I guess it would be Turing if you could program it to decide on a particular problem.

You must put your question in a more clear way as jedishrfu points out. A problem is decidable if there is an algorithm to answer it. As you may know an algorithm - formally speaking, is a TM that halts on all inputs whether accepted or not. So, effectively a decidable problem is equivalent to a recursive language. Now, just by guesswork, is your question about a UTM (Universal Turing Machine)? Because in this case the language ##L_{u}## of UTM is not recursive but recursively enumerable.
 
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