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The 7-tuple for the 3-state busy beaver looks like this ... "Machines as strings and the universal Turing machine" and 1.7, "Proof of theorem 1.9" ...
[7] As the Turing machine was encouraging the construction of computers, ... as described in the article Turing machine, his 5-tuples are only of types N1, N2, and N3.
tape Turing machine can be formally defined as a 7-tuple = ,,,,, , following the notation of a Turing machine: is a finite, non-empty set of tape alphabet symbols;; is the blank symbol (the only symbol allowed to occur on the tape infinitely often at any step during the computation);
With regard to what actions the machine actually does, Turing (1936) [2] states the following: "This [example] table (and all succeeding tables of the same kind) is to be understood to mean that for a configuration described in the first two columns the operations in the third column are carried out successively, and the machine then goes over into the m-configuration in the final column."
Turing's a-machine model. Turing's a-machine (as he called it) was left-ended, right-end-infinite. He provided symbols əə to mark the left end. A finite number of tape symbols were permitted. The instructions (if a universal machine), and the "input" and "out" were written only on "F-squares", and markers were to appear on "E-squares".
Read-only right-moving Turing machines are a particular type of Turing machine that only moves right; these are almost exactly equivalent to DFAs. [29] The definition based on a singly infinite tape is a 7- tuple
That is, a classical Turing machine is described by a 7-tuple = ,,,,, . See the formal definition of a Turing Machine for a more in-depth understanding of each of the elements in this tuple. For a three-tape quantum Turing machine (one tape holding the input, a second tape holding intermediate calculation results, and a third tape holding output):
A PDA is formally defined as a 7-tuple: ... A linear bounded automaton is a device which is more powerful than a pushdown automaton but less so than a Turing machine. [c]