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Notation Used

The following BNF-style convention is used:
1.
atom An atom is a single entry in a list. An atom cannot be expanded any further.
2.
Non-terminal A Non-terminal indicates a structure that is constructed by either one or more atoms, or of other non-terminals.
3.
[...] open-close angeled brackets denote the beginning and end of a list. For example, [this, is, a, list] is a list containing four atoms.
4.
* An asterisk denotes a list that may be repeated zero or more times. For example: [Repeat, this, list]* $\rightarrow$ [ ] (empty list) or [repeat, this, list],..., [repeat, this, list].
5.
+ A plus sign denotes a list that occurs one or more times. time.
6.
$\mid$ The ``$\mid$'' sign indicates a choice. For example: Person = man $\mid$ woman