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Print/export Download as PDF; Printable version; In other projects ... of a Turing machine on input x, such that in this sequence of states, ...
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."
An oracle machine or o-machine is a Turing a-machine that pauses its computation at state "o" while, to complete its calculation, it "awaits the decision" of "the oracle"—an entity unspecified by Turing "apart from saying that it cannot be a machine" (Turing (1939), The Undecidable, p. 166–168).
A configuration, also called an instantaneous description (ID), is a finite representation of the machine at a given time. For example, for a finite automata and a given input, the configuration will be the current state and the number of read letters, for a Turing machine it will be the state, the content of the tape and the position of the head.
In his 1936 paper, Turing described his idea as a "universal computing machine", but it is now known as the Universal Turing machine. [citation needed] Turing was sought by Womersley to work in the NPL on the ACE project; he accepted and began work on 1 October 1945 and by the end of the year he completed his outline of his 'Proposed electronic ...
Nutshell description of a RASP: The RASP is a universal Turing machine (UTM) built on a random-access machine RAM chassis.. The reader will remember that the UTM is a Turing machine with a "universal" finite-state table of instructions that can interpret any well-formed "program" written on the tape as a string of Turing 5-tuples, hence its universality.
In computer science, a universal Turing machine (UTM) is a Turing machine capable of computing any computable sequence, [1] as described by Alan Turing in his seminal paper "On Computable Numbers, with an Application to the Entscheidungsproblem". Common sense might say that a universal machine is impossible, but Turing proves that it is possible.
first asks whether is the Gödel number of a finite sequence of complete configurations of the Turing machine with index , running a computation on input . If so, T 1 {\displaystyle T_{1}} then asks if this sequence begins with the starting state of the computation and each successive element of the sequence corresponds to a single step of the ...