COMPUTER SCIENCE AND ENGINEERING
THEORY OF COMPUTATION
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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It demonstrates that some problems are not computable
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It demonstrates that some problems are not tractable
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As a model of computation, it acts as a definition of what is computable
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None of the above
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All of the above
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Detailed explanation-1: -In computer science, a universal Turing machine (UTM) is a Turing machine that can simulate an arbitrary Turing machine on arbitrary input. The universal machine essentially achieves this by reading both the description of the machine to be simulated as well as the input to that machine from its own tape.
Detailed explanation-2: -In these notes we will introduce Turing machines (TMs), named after Alan Turing, who invented them in 1936. Turing machines can compute any function normally considered computable; in fact, it is quite reasonable to define computable to mean computable by a TM.
Detailed explanation-3: -A Turing Machine is the mathematical tool equivalent to a digital computer. It was suggested by the mathematician Turing in the 30s, and has been since then the most widely used model of computation in computability and complexity theory.
Detailed explanation-4: -This is due to the fact that the halting problem is unsolvable, which has major implications for the theoretical limits of computing. The Turing machine is capable of processing an unrestricted grammar, which further implies that it is capable of robustly evaluating first-order logic in an infinite number of ways.