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
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.
One Turing machine, with fixed set of transitions, which can simulate any Turing machine, including itself, and thus can compute anything computable
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.
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
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proved "the halting problem" was false.
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.
One Turing machine, with fixed set of transitions, which can simulate any Turing machine, including itself, and thus can compute anything computable
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.
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.
bits generated by a Universal Turing Machine
No, and no.
Jon Agar has written: 'Turing and the Universal Machine'
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
multiple trackshift over turing machinenon deterministictwo way turing machinemultitape turing machineoffline turing machinemultidimensional turing machinecomposite turing machineuniversal turing machine
That sounds like the description of a Turing machine, which was a theoretical machine described by Alan Turing.
Alan Turing devised the Turing Machine which can be described as a robot which can look at one cell on an infinitely long tape of cells and then, based on what is in that cell and a given program either change the symbol in the cell and/or move the robot to look at the cell to the left/right of the current cell. Alan Turing then went on to prove that it was possible to write a program for this machine that could do the same as the program written for any other computing machine (it might take a very, very, very long time to do it but it would do it). However, some programs are impossible to write; for example it is impossible to write a program which will tell you if a program given to it as input will terminate or not (which Alan Turing proved); this is known as the halting problem.