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Universal Turing machine (UTM) is machine which can simulate any other TM, thus can compute anything computable
Halting problem: given randomly chosen TM with finite randomly chosen input tape, decide that this machine will ever halt (i.e. reach state which never changes, doesn't change tape or move TM head). Halting problem for arbitrary TM was proven undecidable
What else can I help you with?
What is the role of Alan turing in computer science?
Alan had many pioneering roles, two of the most important is: 1. Defining all programs as a "Turing machine", a machine with a definite stopping condition. 2. Answering the Question , "Can a Machine Think?", with his communicating with a partner behind a curtain, man or machine. Watson and SIRI are latest answers.
What is principle of the Universal Turing Machine?
One Turing machine, with fixed set of transitions, which can simulate any Turing machine, including itself, and thus can compute anything computable
What kind of machine is a busy beaver?
A Turing Machine is a theoretical computing machine in math to serve as an ideal model for mathematical calculation. A busy beaver is an n-state, 2 color Turing Machine which writes a maximum number of 1s before halting.
How many universal binary turing machines are there?
If you mean Turing machine with two colors, then there is infinite number of such machines. There are machines with 43, 18, 5 and 3 states, but trivially we can made machine with more states
What are types of turing machine?
multiple trackshift over turing machinenon deterministictwo way turing machinemultitape turing machineoffline turing machinemultidimensional turing machinecomposite turing machineuniversal turing machine
What is the significance of the halting problem in relation to the capabilities and limitations of a Turing machine?
The halting problem is significant because it shows that there are some problems that a Turing machine cannot solve. It demonstrates the limitations of what a Turing machine can do, as it cannot determine in all cases whether a given program will eventually stop or run forever. This highlights the boundaries of computation and the complexity of certain problems that cannot be solved algorithmically.
What did Alan turing do for the computer?
proved "the halting problem" was false.
Can you provide proof of the halting problem?
The halting problem is a fundamental issue in computer science that states it is impossible to create a program that can determine if any given program will halt or run forever. This was proven by Alan Turing in 1936 through his concept of a Turing machine. The proof involves a logical contradiction that arises when trying to create such a program, showing that it is not possible to solve the halting problem for all cases.
What is principle of the Universal Turing Machine?
One Turing machine, with fixed set of transitions, which can simulate any Turing machine, including itself, and thus can compute anything computable
What is the role of Alan turing in computer science?
Alan had many pioneering roles, two of the most important is: 1. Defining all programs as a "Turing machine", a machine with a definite stopping condition. 2. Answering the Question , "Can a Machine Think?", with his communicating with a partner behind a curtain, man or machine. Watson and SIRI are latest answers.
What is the difference between a Turing machine and a universal Turing machine?
A Turing machine is a machine that can perform any possible computation, and emulate any real world computer, except other Turing machines. A Universal Turing machine however, is a theoretical machine that could even emulate Turing Machines. In actuallity they're both the same, since if you fed the tape from a Turing machine into another Turing machine, the second would in essence be emulating the first. Its also useful to note that Turing machines aren't really "machines" per se, but actually models of the process of computation itself.
What kind of machine is a busy beaver?
A Turing Machine is a theoretical computing machine in math to serve as an ideal model for mathematical calculation. A busy beaver is an n-state, 2 color Turing Machine which writes a maximum number of 1s before halting.
Define computer output?
bits generated by a Universal Turing Machine
Are simple adding machines classified as computers and are they classified as a universal Turing machine?
No, and no.
What has the author Jon Agar written?
Jon Agar has written: 'Turing and the Universal Machine'
Why is the halting problem unsolvable?
The halting problem is unsolvable because it is impossible to create a program that can accurately determine whether any given program will eventually stop or run forever. This limitation was proven by Alan Turing in 1936, showing that there is no algorithm that can solve this problem for all possible programs.
What role does the decider Turing machine play in determining the computability of a given problem?
The decider Turing machine is a theoretical concept used in computer science to determine if a problem is computable. It acts as a tool to analyze and decide whether a given problem can be solved algorithmically. By simulating the behavior of the decider Turing machine, researchers can assess the computability of a problem and understand its complexity.
