Theoretical Aspects of Lexical Analysis/Exercise 4: Difference between revisions

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PRIVATE, Bureaucrats, Administrators
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PRIVATE, Bureaucrats, Administrators
15,362 edits
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{{CollapsedCode|Determination table|
{{CollapsedCode|Determination table|
<runphp>
echo<<<___EOF___
<table border="1" cellspacing="0"><colgroup span="3" width="84"></colgroup> <colgroup width="237"></colgroup> <colgroup width="84"></colgroup>
<table border="1" cellspacing="0"><colgroup span="3" width="84"></colgroup> <colgroup width="237"></colgroup> <colgroup width="84"></colgroup>
<tbody>
<tbody>
<tr style="height: 44px;">
<tr>
<td style="height: 44px;" align="center" bgcolor="#FFCC99"><strong><span style="font-family: Arial;">In</span></strong></td>
<td align="center" bgcolor="#FFCC99" height="44"><strong><span style="font-family: Arial;">In</span></strong></td>
<td style="height: 44px;" align="center" bgcolor="#FFCC99"><strong><span style="font-family: Arial;">&alpha;&isin;&Sigma;</span></strong></td>
<td align="center" bgcolor="#FFCC99"><strong><span style="font-family: Arial;">&alpha;&isin;&Sigma;</span></strong></td>
<td style="height: 44px;" align="center" bgcolor="#FFCC99"><strong><span style="font-family: Arial;">move(In, &alpha;)</span></strong></td>
<td align="center" bgcolor="#FFCC99"><strong><span style="font-family: Arial;">move(In, &alpha;)</span></strong></td>
<td style="height: 44px;" align="center" bgcolor="#FFCC99"><strong><span style="font-family: Arial;">&epsilon;-closure(move(In, &alpha;))</span></strong></td>
<td align="center" bgcolor="#FFCC99"><strong><span style="font-family: Arial;">&epsilon;-closure(move(In, &alpha;))</span></strong></td>
<td style="height: 44px;" align="center" bgcolor="#FFCC99"><strong><span style="font-family: Arial;">In+1&nbsp;= &epsilon;-closure(move(In, &alpha;))</span></strong></td>
<td align="center" bgcolor="#FFCC99"><strong><span style="font-family: Arial;">In+1&nbsp;= &epsilon;-closure(move(In, &alpha;))</span></strong></td>
</tr>
</tr>
<tr style="height: 17px;">
<tr>
<td style="height: 17px;" align="center" bgcolor="#FFFFCC"><strong><span style="font-family: Arial;">-</span></strong></td>
<td align="center" bgcolor="#FFFFCC" height="17"><strong><span style="font-family: Arial;">-</span></strong></td>
<td style="height: 17px;" align="center" bgcolor="#FFFFCC"><strong><span style="font-family: Arial;">-</span></strong></td>
<td align="center" bgcolor="#FFFFCC"><span style="font-family: Arial;">-</span></td>
<td style="height: 17px;" align="center" bgcolor="#FFFFCC"><strong><span style="font-family: Arial;">0</span></strong></td>
<td align="center" bgcolor="#FFFFCC"><span style="font-family: Arial;">0</span></td>
<td style="height: 17px;" align="center" bgcolor="#FFFFCC"><strong><span style="font-family: Arial;">0, 1, 2, 4, 7</span></strong></td>
<td align="center" bgcolor="#FFFFCC"><span style="font-family: Arial;">0, 1, 2, 4, 7</span></td>
<td style="height: 17px;" align="center" bgcolor="#FFFFCC"><strong><span style="font-family: Arial;">0</span></strong></td>
<td align="center" bgcolor="#FFFFCC"><span style="font-family: Arial;">0</span></td>
</tr>
</tr>
<tr style="height: 17px;">
<tr>
<td style="height: 17px;" align="center" bgcolor="#F5F5F5"><strong><span style="font-family: Arial;">0</span></strong></td>
<td align="center" bgcolor="#F5F5F5" height="17"><span style="font-family: Arial;">0</span></td>
<td style="height: 17px;" align="center" bgcolor="#F5F5F5"><strong><span style="font-family: Arial;">a</span></strong></td>
<td align="center" bgcolor="#F5F5F5"><span style="font-family: Arial;">a</span></td>
<td style="height: 17px;" align="center" bgcolor="#F5F5F5"><strong><span style="font-family: Arial;">3, 8</span></strong></td>
<td align="center" bgcolor="#F5F5F5"><span style="font-family: Arial;">3, 8</span></td>
<td style="height: 17px;" align="center" bgcolor="#F5F5F5"><strong><span style="font-family: Arial;">1, 2, 3, 4, 6, 7, 8</span></strong></td>
<td align="center" bgcolor="#F5F5F5"><span style="font-family: Arial;">1, 2, 3, 4, 6, 7, 8</span></td>
<td style="height: 17px;" align="center" bgcolor="#F5F5F5"><strong><span style="font-family: Arial;">1</span></strong></td>
<td align="center" bgcolor="#F5F5F5"><span style="font-family: Arial;">1</span></td>
</tr>
</tr>
<tr style="height: 17px;">
<tr>
<td style="height: 17px;" align="center" bgcolor="#F5F5F5"><strong><span style="font-family: Arial;">0</span></strong></td>
<td align="center" bgcolor="#F5F5F5" height="17"><span style="font-family: Arial;">0</span></td>
<td style="height: 17px;" align="center" bgcolor="#F5F5F5"><strong><span style="font-family: Arial;">b</span></strong></td>
<td align="center" bgcolor="#F5F5F5"><span style="font-family: Arial;">b</span></td>
<td style="height: 17px;" align="center" bgcolor="#F5F5F5"><strong><span style="font-family: Arial;">5</span></strong></td>
<td align="center" bgcolor="#F5F5F5"><span style="font-family: Arial;">5</span></td>
<td style="height: 17px;" align="center" bgcolor="#F5F5F5"><strong><span style="font-family: Arial;">1, 2, 4, 5, 6, 7</span></strong></td>
<td align="center" bgcolor="#F5F5F5"><span style="font-family: Arial;">1, 2, 4, 5, 6, 7</span></td>
<td style="height: 17px;" align="center" bgcolor="#F5F5F5"><strong><span style="font-family: Arial;">2</span></strong></td>
<td align="center" bgcolor="#F5F5F5"><span style="font-family: Arial;">2</span></td>
</tr>
</tr>
<tr style="height: 17px;">
<tr>
<td style="height: 17px;" align="center" bgcolor="#FFFFCC"><strong><span style="font-family: Arial;">1</span></strong></td>
<td align="center" bgcolor="#FFFFCC" height="17"><span style="font-family: Arial;">1</span></td>
<td style="height: 17px;" align="center" bgcolor="#FFFFCC"><strong><span style="font-family: Arial;">a</span></strong></td>
<td align="center" bgcolor="#FFFFCC"><span style="font-family: Arial;">a</span></td>
<td style="height: 17px;" align="center" bgcolor="#FFFFCC"><strong><span style="font-family: Arial;">3, 8</span></strong></td>
<td align="center" bgcolor="#FFFFCC"><span style="font-family: Arial;">3, 8</span></td>
<td style="height: 17px;" align="center" bgcolor="#FFFFCC"><strong><span style="font-family: Arial;">1, 2, 3, 4, 6, 7, 8</span></strong></td>
<td align="center" bgcolor="#FFFFCC"><span style="font-family: Arial;">1, 2, 3, 4, 6, 7, 8</span></td>
<td style="height: 17px;" align="center" bgcolor="#FFFFCC"><strong><span style="font-family: Arial;">1</span></strong></td>
<td align="center" bgcolor="#FFFFCC"><span style="font-family: Arial;">1</span></td>
</tr>
</tr>
<tr style="height: 17px;">
<tr>
<td style="height: 17px;" align="center" bgcolor="#FFFFCC"><strong><span style="font-family: Arial;">1</span></strong></td>
<td align="center" bgcolor="#FFFFCC" height="17"><span style="font-family: Arial;">1</span></td>
<td style="height: 17px;" align="center" bgcolor="#FFFFCC"><strong><span style="font-family: Arial;">b</span></strong></td>
<td align="center" bgcolor="#FFFFCC"><span style="font-family: Arial;">b</span></td>
<td style="height: 17px;" align="center" bgcolor="#FFFFCC"><strong><span style="font-family: Arial;">5, 9</span></strong></td>
<td align="center" bgcolor="#FFFFCC"><span style="font-family: Arial;">5, 9</span></td>
<td style="height: 17px;" align="center" bgcolor="#FFFFCC"><strong><span style="font-family: Arial;">1, 2, 4, 5, 6, 7, 9</span></strong></td>
<td align="center" bgcolor="#FFFFCC"><span style="font-family: Arial;">1, 2, 4, 5, 6, 7, 9</span></td>
<td style="height: 17px;" align="center" bgcolor="#FFFFCC"><strong><span style="font-family: Arial;">3</span></strong></td>
<td align="center" bgcolor="#FFFFCC"><span style="font-family: Arial;">3</span></td>
</tr>
</tr>
<tr style="height: 17px;">
<tr>
<td style="height: 17px;" align="center" bgcolor="#F5F5F5"><strong><span style="font-family: Arial;">2</span></strong></td>
<td align="center" bgcolor="#F5F5F5" height="17"><span style="font-family: Arial;">2</span></td>
<td style="height: 17px;" align="center" bgcolor="#F5F5F5"><strong><span style="font-family: Arial;">a</span></strong></td>
<td align="center" bgcolor="#F5F5F5"><span style="font-family: Arial;">a</span></td>
<td style="height: 17px;" align="center" bgcolor="#F5F5F5"><strong><span style="font-family: Arial;">3, 8</span></strong></td>
<td align="center" bgcolor="#F5F5F5"><span style="font-family: Arial;">3, 8</span></td>
<td style="height: 17px;" align="center" bgcolor="#F5F5F5"><strong><span style="font-family: Arial;">1, 2, 3, 4, 6, 7, 8</span></strong></td>
<td align="center" bgcolor="#F5F5F5"><span style="font-family: Arial;">1, 2, 3, 4, 6, 7, 8</span></td>
<td style="height: 17px;" align="center" bgcolor="#F5F5F5"><strong><span style="font-family: Arial;">1</span></strong></td>
<td align="center" bgcolor="#F5F5F5"><span style="font-family: Arial;">1</span></td>
</tr>
</tr>
<tr style="height: 17px;">
<tr>
<td style="height: 17px;" align="center" bgcolor="#F5F5F5"><strong><span style="font-family: Arial;">2</span></strong></td>
<td align="center" bgcolor="#F5F5F5" height="17"><span style="font-family: Arial;">2</span></td>
<td style="height: 17px;" align="center" bgcolor="#F5F5F5"><strong><span style="font-family: Arial;">b</span></strong></td>
<td align="center" bgcolor="#F5F5F5"><span style="font-family: Arial;">b</span></td>
<td style="height: 17px;" align="center" bgcolor="#F5F5F5"><strong><span style="font-family: Arial;">5</span></strong></td>
<td align="center" bgcolor="#F5F5F5"><span style="font-family: Arial;">5</span></td>
<td style="height: 17px;" align="center" bgcolor="#F5F5F5"><strong><span style="font-family: Arial;">1, 2, 4, 5, 6, 7</span></strong></td>
<td align="center" bgcolor="#F5F5F5"><span style="font-family: Arial;">1, 2, 4, 5, 6, 7</span></td>
<td style="height: 17px;" align="center" bgcolor="#F5F5F5"><strong><span style="font-family: Arial;">2</span></strong></td>
<td align="center" bgcolor="#F5F5F5"><span style="font-family: Arial;">2</span></td>
</tr>
</tr>
<tr style="height: 17px;">
<tr>
<td style="height: 17px;" align="center" bgcolor="#FFFFCC"><strong><span style="font-family: Arial;">3</span></strong></td>
<td align="center" bgcolor="#FFFFCC" height="17"><span style="font-family: Arial;">3</span></td>
<td style="height: 17px;" align="center" bgcolor="#FFFFCC"><strong><span style="font-family: Arial;">a</span></strong></td>
<td align="center" bgcolor="#FFFFCC"><span style="font-family: Arial;">a</span></td>
<td style="height: 17px;" align="center" bgcolor="#FFFFCC"><strong><span style="font-family: Arial;">3, 8</span></strong></td>
<td align="center" bgcolor="#FFFFCC"><span style="font-family: Arial;">3, 8</span></td>
<td style="height: 17px;" align="center" bgcolor="#FFFFCC"><strong><span style="font-family: Arial;">1, 2, 3, 4, 6, 7, 8</span></strong></td>
<td align="center" bgcolor="#FFFFCC"><span style="font-family: Arial;">1, 2, 3, 4, 6, 7, 8</span></td>
<td style="height: 17px;" align="center" bgcolor="#FFFFCC"><strong><span style="font-family: Arial;">1</span></strong></td>
<td align="center" bgcolor="#FFFFCC"><span style="font-family: Arial;">1</span></td>
</tr>
</tr>
<tr style="height: 17px;">
<tr>
<td style="height: 17px;" align="center" bgcolor="#FFFFCC"><strong><span style="font-family: Arial;">3</span></strong></td>
<td align="center" bgcolor="#FFFFCC" height="17"><span style="font-family: Arial;">3</span></td>
<td style="height: 17px;" align="center" bgcolor="#FFFFCC"><strong><span style="font-family: Arial;">b</span></strong></td>
<td align="center" bgcolor="#FFFFCC"><span style="font-family: Arial;">b</span></td>
<td style="height: 17px;" align="center" bgcolor="#FFFFCC"><strong><span style="font-family: Arial;">5, 10</span></strong></td>
<td align="center" bgcolor="#FFFFCC"><span style="font-family: Arial;">5, 10</span></td>
<td style="height: 17px;" align="center" bgcolor="#FFFFCC"><strong><span style="font-family: Arial;">1, 2, 4, 5, 6, 7, 10, 11, 12, 14,&nbsp;17</span></strong></td>
<td align="center" bgcolor="#FFFFCC"><span style="font-family: Arial;">1, 2, 4, 5, 6, 7, 10, 11, 12, 14,&nbsp;17</span></td>
<td style="height: 17px;" align="center" bgcolor="#FFFFCC"><strong><span style="font-family: Arial;">4</span></strong></td>
<td align="center" bgcolor="#FFFFCC"><strong><span style="font-family: Arial;">4</span></strong></td>
</tr>
</tr>
<tr style="height: 17px;">
<tr>
<td style="height: 17px;" align="center" bgcolor="#F5F5F5"><strong><span style="font-family: Arial;">4</span></strong></td>
<td align="center" bgcolor="#F5F5F5" height="17"><strong><span style="font-family: Arial;">4</span></strong></td>
<td style="height: 17px;" align="center" bgcolor="#F5F5F5"><strong><span style="font-family: Arial;">a</span></strong></td>
<td align="center" bgcolor="#F5F5F5"><span style="font-family: Arial;">a</span></td>
<td style="height: 17px;" align="center" bgcolor="#F5F5F5"><strong><span style="font-family: Arial;">3, 8, 13</span></strong></td>
<td align="center" bgcolor="#F5F5F5"><span style="font-family: Arial;">3, 8, 13</span></td>
<td style="height: 17px;" align="center" bgcolor="#F5F5F5"><strong><span style="font-family: Arial;">1, 2, 3, 4, 6, 7, 8, 11, 12, 13, 14, 16,&nbsp;17</span></strong></td>
<td align="center" bgcolor="#F5F5F5"><span style="font-family: Arial;">1, 2, 3, 4, 6, 7, 8, 11, 12, 13, 14, 16,&nbsp;17</span></td>
<td style="height: 17px;" align="center" bgcolor="#F5F5F5"><strong><span style="font-family: Arial;">5</span></strong></td>
<td align="center" bgcolor="#F5F5F5"><strong><span style="font-family: Arial;">5</span></strong></td>
</tr>
</tr>
<tr style="height: 17px;">
<tr>
<td style="height: 17px;" align="center" bgcolor="#F5F5F5"><strong><span style="font-family: Arial;">4</span></strong></td>
<td align="center" bgcolor="#F5F5F5" height="17"><strong><span style="font-family: Arial;">4</span></strong></td>
<td style="height: 17px;" align="center" bgcolor="#F5F5F5"><strong><span style="font-family: Arial;">b</span></strong></td>
<td align="center" bgcolor="#F5F5F5"><span style="font-family: Arial;">b</span></td>
<td style="height: 17px;" align="center" bgcolor="#F5F5F5"><strong><span style="font-family: Arial;">5, 15</span></strong></td>
<td align="center" bgcolor="#F5F5F5"><span style="font-family: Arial;">5, 15</span></td>
<td style="height: 17px;" align="center" bgcolor="#F5F5F5"><strong><span style="font-family: Arial;">1, 2, 4, 5, 6, 7, 11, 12, 14, 15, 16,&nbsp;17</span></strong></td>
<td align="center" bgcolor="#F5F5F5"><span style="font-family: Arial;">1, 2, 4, 5, 6, 7, 11, 12, 14, 15, 16,&nbsp;17</span></td>
<td style="height: 17px;" align="center" bgcolor="#F5F5F5"><strong><span style="font-family: Arial;">6</span></strong></td>
<td align="center" bgcolor="#F5F5F5"><strong><span style="font-family: Arial;">6</span></strong></td>
</tr>
</tr>
<tr style="height: 17px;">
<tr>
<td style="height: 17px;" align="center" bgcolor="#FFFFCC"><strong><span style="font-family: Arial;">5</span></strong></td>
<td align="center" bgcolor="#FFFFCC" height="17"><strong><span style="font-family: Arial;">5</span></strong></td>
<td style="height: 17px;" align="center" bgcolor="#FFFFCC"><strong><span style="font-family: Arial;">a</span></strong></td>
<td align="center" bgcolor="#FFFFCC"><span style="font-family: Arial;">a</span></td>
<td style="height: 17px;" align="center" bgcolor="#FFFFCC"><strong><span style="font-family: Arial;">3, 8, 13</span></strong></td>
<td align="center" bgcolor="#FFFFCC"><span style="font-family: Arial;">3, 8, 13</span></td>
<td style="height: 17px;" align="center" bgcolor="#FFFFCC"><strong><span style="font-family: Arial;">1, 2, 3, 4, 6, 7, 8, 11, 12, 13, 14, 16,&nbsp;17</span></strong></td>
<td align="center" bgcolor="#FFFFCC"><span style="font-family: Arial;">1, 2, 3, 4, 6, 7, 8, 11, 12, 13, 14, 16,&nbsp;17</span></td>
<td style="height: 17px;" align="center" bgcolor="#FFFFCC"><strong><span style="font-family: Arial;">5</span></strong></td>
<td align="center" bgcolor="#FFFFCC"><strong><span style="font-family: Arial;">5</span></strong></td>
</tr>
</tr>
<tr style="height: 17px;">
<tr>
<td style="height: 17px;" align="center" bgcolor="#FFFFCC"><strong><span style="font-family: Arial;">5</span></strong></td>
<td align="center" bgcolor="#FFFFCC" height="17"><strong><span style="font-family: Arial;">5</span></strong></td>
<td style="height: 17px;" align="center" bgcolor="#FFFFCC"><strong><span style="font-family: Arial;">b</span></strong></td>
<td align="center" bgcolor="#FFFFCC"><span style="font-family: Arial;">b</span></td>
<td style="height: 17px;" align="center" bgcolor="#FFFFCC"><strong><span style="font-family: Arial;">5, 9, 15</span></strong></td>
<td align="center" bgcolor="#FFFFCC"><span style="font-family: Arial;">5, 9, 15</span></td>
<td style="height: 17px;" align="center" bgcolor="#FFFFCC"><strong><span style="font-family: Arial;">1, 2, 4, 5, 6, 7, 9, 11, 12, 14, 15, 16,&nbsp;17</span></strong></td>
<td align="center" bgcolor="#FFFFCC"><span style="font-family: Arial;">1, 2, 4, 5, 6, 7, 9, 11, 12, 14, 15, 16,&nbsp;17</span></td>
<td style="height: 17px;" align="center" bgcolor="#FFFFCC"><strong><span style="font-family: Arial;">7</span></strong></td>
<td align="center" bgcolor="#FFFFCC"><strong><span style="font-family: Arial;">7</span></strong></td>
</tr>
</tr>
<tr style="height: 17px;">
<tr>
<td style="height: 17px;" align="center" bgcolor="#F5F5F5"><strong><span style="font-family: Arial;">6</span></strong></td>
<td align="center" bgcolor="#F5F5F5" height="17"><strong><span style="font-family: Arial;">6</span></strong></td>
<td style="height: 17px;" align="center" bgcolor="#F5F5F5"><strong><span style="font-family: Arial;">a</span></strong></td>
<td align="center" bgcolor="#F5F5F5"><span style="font-family: Arial;">a</span></td>
<td style="height: 17px;" align="center" bgcolor="#F5F5F5"><strong><span style="font-family: Arial;">3, 8, 13</span></strong></td>
<td align="center" bgcolor="#F5F5F5"><span style="font-family: Arial;">3, 8, 13</span></td>
<td style="height: 17px;" align="center" bgcolor="#F5F5F5"><strong><span style="font-family: Arial;">1, 2, 3, 4, 6, 7, 8, 11, 12, 13, 14, 16,&nbsp;17</span></strong></td>
<td align="center" bgcolor="#F5F5F5"><span style="font-family: Arial;">1, 2, 3, 4, 6, 7, 8, 11, 12, 13, 14, 16,&nbsp;17</span></td>
<td style="height: 17px;" align="center" bgcolor="#F5F5F5"><strong><span style="font-family: Arial;">5</span></strong></td>
<td align="center" bgcolor="#F5F5F5"><strong><span style="font-family: Arial;">5</span></strong></td>
</tr>
</tr>
<tr style="height: 17px;">
<tr>
<td style="height: 17px;" align="center" bgcolor="#F5F5F5"><strong><span style="font-family: Arial;">6</span></strong></td>
<td align="center" bgcolor="#F5F5F5" height="17"><strong><span style="font-family: Arial;">6</span></strong></td>
<td style="height: 17px;" align="center" bgcolor="#F5F5F5"><strong><span style="font-family: Arial;">b</span></strong></td>
<td align="center" bgcolor="#F5F5F5"><span style="font-family: Arial;">b</span></td>
<td style="height: 17px;" align="center" bgcolor="#F5F5F5"><strong><span style="font-family: Arial;">5, 15</span></strong></td>
<td align="center" bgcolor="#F5F5F5"><span style="font-family: Arial;">5, 15</span></td>
<td style="height: 17px;" align="center" bgcolor="#F5F5F5"><strong><span style="font-family: Arial;">1, 2, 4, 5, 6, 7, 11, 12, 14, 15, 16,&nbsp;17</span></strong></td>
<td align="center" bgcolor="#F5F5F5"><span style="font-family: Arial;">1, 2, 4, 5, 6, 7, 11, 12, 14, 15, 16,&nbsp;17</span></td>
<td style="height: 17px;" align="center" bgcolor="#F5F5F5"><strong><span style="font-family: Arial;">6</span></strong></td>
<td align="center" bgcolor="#F5F5F5"><strong><span style="font-family: Arial;">6</span></strong></td>
</tr>
</tr>
<tr style="height: 17px;">
<tr>
<td style="height: 17px;" align="center" bgcolor="#FFFFCC"><strong><span style="font-family: Arial;">7</span></strong></td>
<td align="center" bgcolor="#FFFFCC" height="17"><strong><span style="font-family: Arial;">7</span></strong></td>
<td style="height: 17px;" align="center" bgcolor="#FFFFCC"><strong><span style="font-family: Arial;">a</span></strong></td>
<td align="center" bgcolor="#FFFFCC"><span style="font-family: Arial;">a</span></td>
<td style="height: 17px;" align="center" bgcolor="#FFFFCC"><strong><span style="font-family: Arial;">3, 8, 13</span></strong></td>
<td align="center" bgcolor="#FFFFCC"><span style="font-family: Arial;">3, 8, 13</span></td>
<td style="height: 17px;" align="center" bgcolor="#FFFFCC"><strong><span style="font-family: Arial;">1, 2, 3, 4, 6, 7, 8, 11, 12, 13, 14, 16,&nbsp;17</span></strong></td>
<td align="center" bgcolor="#FFFFCC"><span style="font-family: Arial;">1, 2, 3, 4, 6, 7, 8, 11, 12, 13, 14, 16,&nbsp;17</span></td>
<td style="height: 17px;" align="center" bgcolor="#FFFFCC"><strong><span style="font-family: Arial;">5</span></strong></td>
<td align="center" bgcolor="#FFFFCC"><strong><span style="font-family: Arial;">5</span></strong></td>
</tr>
</tr>
<tr style="height: 17px;">
<tr>
<td style="height: 17px;" align="center" bgcolor="#FFFFCC"><strong><span style="font-family: Arial;">7</span></strong></td>
<td align="center" bgcolor="#FFFFCC" height="17"><strong><span style="font-family: Arial;">7</span></strong></td>
<td style="height: 17px;" align="center" bgcolor="#FFFFCC"><strong><span style="font-family: Arial;">b</span></strong></td>
<td align="center" bgcolor="#FFFFCC"><span style="font-family: Arial;">b</span></td>
<td style="height: 17px;" align="center" bgcolor="#FFFFCC"><strong><span style="font-family: Arial;">5, 10, 15</span></strong></td>
<td align="center" bgcolor="#FFFFCC"><span style="font-family: Arial;">5, 10, 15</span></td>
<td style="height: 17px;" align="center" bgcolor="#FFFFCC"><strong><span style="font-family: Arial;">1, 2, 4, 5, 6, 7, 10, 11, 12, 14, 15, 16,&nbsp;17</span></strong></td>
<td align="center" bgcolor="#FFFFCC"><span style="font-family: Arial;">1, 2, 4, 5, 6, 7, 10, 11, 12, 14, 15, 16,&nbsp;17</span></td>
<td style="height: 17px;" align="center" bgcolor="#FFFFCC"><strong><span style="font-family: Arial;">8</span></strong></td>
<td align="center" bgcolor="#FFFFCC"><strong><span style="font-family: Arial;">8</span></strong></td>
</tr>
</tr>
<tr style="height: 17px;">
<tr>
<td style="height: 17px;" align="center" bgcolor="#F5F5F5"><strong><span style="font-family: Arial;">8</span></strong></td>
<td align="center" bgcolor="#F5F5F5" height="17"><strong><span style="font-family: Arial;">8</span></strong></td>
<td style="height: 17px;" align="center" bgcolor="#F5F5F5"><strong><span style="font-family: Arial;">a</span></strong></td>
<td align="center" bgcolor="#F5F5F5"><span style="font-family: Arial;">a</span></td>
<td style="height: 17px;" align="center" bgcolor="#F5F5F5"><strong><span style="font-family: Arial;">3, 8, 13</span></strong></td>
<td align="center" bgcolor="#F5F5F5"><span style="font-family: Arial;">3, 8, 13</span></td>
<td style="height: 17px;" align="center" bgcolor="#F5F5F5"><strong><span style="font-family: Arial;">1, 2, 3, 4, 6, 7, 8, 11, 12, 13, 14, 16,&nbsp;17</span></strong></td>
<td align="center" bgcolor="#F5F5F5"><span style="font-family: Arial;">1, 2, 3, 4, 6, 7, 8, 11, 12, 13, 14, 16,&nbsp;17</span></td>
<td style="height: 17px;" align="center" bgcolor="#F5F5F5"><strong><span style="font-family: Arial;">5</span></strong></td>
<td align="center" bgcolor="#F5F5F5"><strong><span style="font-family: Arial;">5</span></strong></td>
</tr>
</tr>
<tr style="height: 17px;">
<tr>
<td style="height: 17px;" align="center" bgcolor="#F5F5F5"><strong><span style="font-family: Arial;">8</span></strong></td>
<td align="center" bgcolor="#F5F5F5" height="17"><strong><span style="font-family: Arial;">8</span></strong></td>
<td style="height: 17px;" align="center" bgcolor="#F5F5F5"><strong><span style="font-family: Arial;">b</span></strong></td>
<td align="center" bgcolor="#F5F5F5"><span style="font-family: Arial;">b</span></td>
<td style="height: 17px;" align="center" bgcolor="#F5F5F5"><strong><span style="font-family: Arial;">5, 15</span></strong></td>
<td align="center" bgcolor="#F5F5F5"><span style="font-family: Arial;">5, 15</span></td>
<td style="height: 17px;" align="center" bgcolor="#F5F5F5"><strong><span style="font-family: Arial;">1, 2, 4, 5, 6, 7, 11, 12, 14, 15, 16,&nbsp;17</span></strong></td>
<td align="center" bgcolor="#F5F5F5"><span style="font-family: Arial;">1, 2, 4, 5, 6, 7, 11, 12, 14, 15, 16,&nbsp;17</span></td>
<td style="height: 17px;" align="center" bgcolor="#F5F5F5"><strong><span style="font-family: Arial;">6</span></strong></td>
<td align="center" bgcolor="#F5F5F5"><strong><span style="font-family: Arial;">6</span></strong></td>
</tr>
</tr>
</tbody>
</tbody>
</table>
</table>
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Revision as of 08:04, 24 June 2016

Problem

Use Thompson's algorithm to build the NFA for the following regular expression. Build the corresponding DFA and minimize it.

  • (a|b)*abb(a|b)*

Solution

The non-deterministic finite automaton (NFA), built by applying Thompson's algorithm to the regular expression (a|b)*abb(a|b)* is the following:

NFA
b)*abb(a

Applying the determination algorithm to the above NFA, the following determination table is obtained:

Determination table
{{{2}}}

Graphically, the DFA is represented as follows:

DFA
b)*abb(a

The minimization tree is as follows:

Minimization tree

Given the minimization tree above, the final minimal DFA is as follows:

Minimal DFA
b)*abb(a
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