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Revision as of 19:28, 19 January 2009
, 19:28, 19 January 2009→The Cactus Language : Mechanics: mathematical markup
| a lobe with the accoutrements <math>C_1, \ldots, C_k.</math>
| a lobe with the accoutrements <math>C_1, \ldots, C_k.</math>
|}
|}
Working from a structural description of the cactus language, or any suitable formal grammar for <math>\mathfrak{C} (\mathfrak{P}),</math> it is possible to give a recursive definition of the function called <math>\operatorname{Parse}</math> that maps each sentence in <math>\operatorname{PARCE} (\mathfrak{P})</math> to the corresponding graph in <math>\operatorname{PARC} (\mathfrak{P}).</math> One way to do this proceeds as follows:
<pre>
<pre>
1. The parse of the concatenation Conc^k of the k sentences S_j,
1. The parse of the concatenation Conc^k of the k sentences S_j,
for j = 1 to k, is defined recursively as follows:
for j = 1 to k, is defined recursively as follows:
