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A Turing machine is a mathematical model of computation describing an abstract machine [1] ... To the right: the above table as expressed as a "state transition" diagram.
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."
Martin Davis makes a persuasive argument that Turing's conception of what is now known as "the stored-program computer", of placing the "action table"—the instructions for the machine—in the same "memory" as the input data, strongly influenced John von Neumann's conception of the first American discrete-symbol (as opposed to analog) computer—the EDVAC.
A computation tree is a representation for the computation steps of a non-deterministic Turing machine on a specified input. [1] A computation tree is a rooted tree of nodes and edges. Each node in the tree represents a single computational state, while each edge represents a transition to the next possible computation.
As with Turing machines, the actions are specified by a state transition table listing the current internal state of the turmite and the color of the cell it is currently standing on. For example, the turmite shown in the image at the top of this page is specified by the following table:
δ is defined by the following state transition table: 0. 1. S 1: S 2: S 1: S 2: S 1: S 2: ... Read-only right-moving Turing machines are a particular type of Turing ...
In the state-transition table, all possible inputs to the finite-state machine are enumerated across the columns of the table, while all possible states are enumerated across the rows. If the machine is in the state S 1 (the first row) and receives an input of 1 (second column), the machine will stay in the state S 1.
A read-only Turing machine or two-way deterministic ... is the transition ... The proof involves building a table which lists the result of backtracking with the ...