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Revision as of 03:02, 5 January 2009
, 03:02, 5 January 2009→Grammar 2: format grammar box
Returning to the case of the painted cactus language <math>\mathfrak{L} = \mathfrak{C} (\mathfrak{P}),</math> it is possible to put the currently assembled pieces of a grammar together in the light of the presently adopted canons of style, to arrive a more refined analysis of the fact that the concept of a sentence covers any concatenation of sentences and any surcatenation of sentences, and so to obtain the following form of a grammar:
Returning to the case of the painted cactus language <math>\mathfrak{L} = \mathfrak{C} (\mathfrak{P}),</math> it is possible to put the currently assembled pieces of a grammar together in the light of the presently adopted canons of style, to arrive a more refined analysis of the fact that the concept of a sentence covers any concatenation of sentences and any surcatenation of sentences, and so to obtain the following form of a grammar:
{| align="center" cellpadding="12" cellspacing="0" style="border-top:1px solid black" width="90%"
| align="left" style="border-left:1px solid black;" width="33%" |
<math>\mathfrak{C} (\mathfrak{P})</math>
| align="center" |
<math>\text{Grammar 2}\!</math>
| align="right" style="border-right:1px solid black;" width="33%" |
<math>\mathfrak{Q} = \{ ^{\backprime\backprime} \operatorname{T} ^{\prime\prime} \}</math>
|-
| colspan="3" style="border-top:1px solid black; border-bottom:1px solid black; border-left:1px solid black; border-right:1px solid black" |
<math>\begin{array}{llll}
1.
& S
& :>
& \varepsilon
\\
2.
& S
& :>
& m_1
\\
3.
& S
& :>
& p_j, \, \text{for each} \, j \in J
\\
4.
& S
& :>
& S \, \cdot \, S
\\
5.
& S
& :>
& ^{\backprime\backprime} \, \operatorname{(} \, ^{\prime\prime} \, \cdot \, T \, \cdot \, ^{\backprime\backprime} \, \operatorname{)} \, ^{\prime\prime}
\\
6.
& T
& :>
& S
\\
7.
& T
& :>
& T \, \cdot \, ^{\backprime\backprime} \operatorname{,} ^{\prime\prime} \, \cdot \, S
\\
\end{array}</math>
|}
<pre>
<pre>
In this rendition, a string of type T is not in general
In this rendition, a string of type T is not in general
a sentence itself but a proper "part of speech", that is,
a sentence itself but a proper "part of speech", that is,
