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User:Jon Awbrey/SCRATCHPAD (view source)
Revision as of 16:10, 7 January 2009
, 16:10, 7 January 2009→Box Displays: wrap up grammar box + style mods
<math>\mathfrak{C} (\mathfrak{P}) : \text{Grammar 1}\!</math>
<math>\mathfrak{C} (\mathfrak{P}) : \text{Grammar 1}\!</math>
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<math>\mathfrak{Q} = \emptyset</math>
<math>\mathfrak{Q} = \varnothing</math>
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<math>\mathfrak{C} (\mathfrak{P}) : \text{Grammar 2}\!</math>
<math>\mathfrak{C} (\mathfrak{P}) : \text{Grammar 2}\!</math>
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<math>\mathfrak{Q} = \{ \, ^{\backprime\backprime} T ^{\prime\prime} \, \}</math>
<math>\mathfrak{Q} = \{ \, ^{\backprime\backprime} \, T \, ^{\prime\prime} \, \}</math>
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<math>\mathfrak{C} (\mathfrak{P}) : \text{Grammar 3}\!</math>
<math>\mathfrak{C} (\mathfrak{P}) : \text{Grammar 3}\!</math>
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<math>\mathfrak{Q} = \{ \, ^{\backprime\backprime} F ^{\prime\prime}, \, ^{\backprime\backprime} R ^{\prime\prime}, \, ^{\backprime\backprime} T ^{\prime\prime} \, \}</math>
<math>\mathfrak{Q} = \{ \, ^{\backprime\backprime} \, F \, ^{\prime\prime}, \, ^{\backprime\backprime} \, R \, ^{\prime\prime}, \, ^{\backprime\backprime} \, T \, ^{\prime\prime} \, \}</math>
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<br>
<br>
<pre>
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<math>\mathfrak{C} (\mathfrak{P}) : \text{Grammar 6}\!</math>
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<math>\mathfrak{Q} = \{ \, ^{\backprime\backprime} \, S' \, ^{\prime\prime}, \, ^{\backprime\backprime} \, F \, ^{\prime\prime}, \, ^{\backprime\backprime} \, R \, ^{\prime\prime}, \, ^{\backprime\backprime} \, T \, ^{\prime\prime} \, \}</math>
| 1. S :> !e!
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<math>\begin{array}{rcll}
1.
& S
& :>
& \varepsilon
\\
2.
& S
& :>
& S'
\\
3.
& S'
& :>
& R
\\
4.
& S'
& :>
& F
\\
5.
& S'
& :>
& S' \, \cdot \, S'
</pre>
\\
6.
& R
& :>
& m_1
\\
7.
& R
& :>
& p_j, \, \text{for each} \, j \in J
\\
8.
& R
& :>
& R \, \cdot \, R
\\
9.
& F
& :>
& ^{\backprime\backprime} \, \operatorname{()} \, ^{\prime\prime}
\\
10.
& F
& :>
& ^{\backprime\backprime} \, \operatorname{(} \, ^{\prime\prime} \, \cdot \, T \, \cdot \, ^{\backprime\backprime} \, \operatorname{)} \, ^{\prime\prime}
\\
11.
& T
& :>
& ^{\backprime\backprime} \, \operatorname{,} \, ^{\prime\prime}
\\
12.
& T
& :>
& S'
\\
13.
& T
& :>
& T \, \cdot \, ^{\backprime\backprime} \, \operatorname{,} \, ^{\prime\prime}
\\
14.
& T
& :>
& T \, \cdot \, ^{\backprime\backprime} \, \operatorname{,} \, ^{\prime\prime} \, \cdot \, S'
\\
\end{array}</math>
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