Because a Turing machine's actions are not atomic, a simulation of the machine must atomize each 5-tuple into a sequence of simpler actions. One possibility — used in the following examples of …

Jan 21, 2026 · As in our previous multi-tape example, we will start by copying the first string/number from tape 1 to tape 2, then position the heads of both tapes on the right-most symbol of each string.

Explore various examples of Turing Machines, their functionality, and applications in automata theory to enhance your understanding of computation.

1. Turing Machines as Word Recognizers Example 1: L = {anbncn | n ≥ 0} Example 2: L = {ww | w ∈ {a, b}∗} Example 3: L = {aibjci×j | i, j ≥ 0}

Example 3 is a Turing machine that performs some elementary arithmetic. It decides the language ="On input string

Jan 8, 2026 · A Turing Machine consists of an infinite tape, a read/write head, and a set of rules that determine how it reads, writes, and moves on the tape. Despite its simplicity, a TM can simulate any …

In principle, we can build Turing Machines for computing all kinds of functions, such as capitalizing text, finding words in text, computing interest payments, finding documents on the World Wide Web, etc.

Through the links above you will find a number of examples of the Turing machine running. Each includes a short explanation of how it works and the transition rules (states) that made it happen.

M be a Turing machine. M accepts a string w if it returns true on w. M rejects a string w if it returns false on w. M loops infinitely (or just loops) on a string w if when run on w it neither returns true nor returns …

In the context of formal language theory, a Turing machine (automaton) is capable of enumerating some arbitrary subset of valid strings of an alphabet. A set of strings which can be enumerated in this …