Текст:Машина Тьюринга: Распознавание чётности

Приведем пример машины Тьюринга, распознающую четные входные строки (пустую строку и строки состоящие из четного числа единиц).

Табличное представление МТ

<latex> \begin{tabular}{|cc|c|ccc|} \hline

2bad & * & $\Rightarrow$ & [\textcolor{red}{q}] & 0 &  \\ \hline
2bad & 1 & $\Rightarrow$ & 2bad & * & L \\ \hline
2ok & * & $\Rightarrow$ & [\textcolor{red}{q}] & 1 &  \\ \hline
2ok & 1 & $\Rightarrow$ & 2ok & * & L \\ \hline
<\textcolor{blue}{even}> & * & $\Rightarrow$ & 2ok & * & L \\ \hline
<\textcolor{blue}{even}> & 1 & $\Rightarrow$ & odd & 1 & R \\ \hline
odd & * & $\Rightarrow$ & 2bad & * & L \\ \hline
odd & 1 & $\Rightarrow$ & <\textcolor{blue}{even}> & 1 & R \\ \hline

\end{tabular} </latex> <code-python>

2. Распознавание четных строк (содержащих четное число "1").

MT={

'k':1, 
'start': 'even',
'stop': 'q',
'program': {
#(Состояние, символы на лентах) -> (новое состояние, (действия по каждой ленте))
 ('even', ('*')):    ('2ok',  (('*','L'))), 
 ('even', ('1')):    ('odd',  (('1','R'))), 
 ('odd',  ('1')):    ('even', (('1','R'))), 
 ('odd',  ('*')):    ('2bad', (('*','L'))), 
 ('2ok',  ('1')):    ('2ok',  (('*','L'))), 
 ('2ok',  ('*')):    ('q',    (('1',))), 
 ('2bad', ('1')):    ('2bad', (('*','L'))), 
 ('2bad', ('*')):    ('q',    (('0',))) 
}

} </code-python>

Графовое представление МТ

Примеры выполнения МТ

Пустая строка

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«111»

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«1111»

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По крайней мере часть этого текста взята с ресурса http://lib.custis.ru/ под лицензией GDFL.Список авторов доступен на этом ресурсе в статье под тем же названием.