A notation of the form was introduced last time to indicate a category of grammatical relationships whose sense is suggested by any of the following readings.
For the moment it’s enough to call a covering relation, reading it as
In what follows the letter indicates the type of a sentence in the contemplated language
The letter
is the initial symbol or sentence symbol of the candidate formal grammar for
Generally speaking, any number of letters like signifying other types of strings, will be found necessary for a reasonable account or rational reconstruction of the sentences in
The additional letters are known as intermediate symbols and collected together in the set
Combining the singleton set whose sole member is the initial symbol with the set
of intermediate symbols results in the set
of non‑terminal symbols. Even though
is strictly only the set of intermediate symbols, it is handy to use
as a typical variable ranging over the full set of non‑terminal symbols,
To complete the package, the alphabet of the language
may also be referred to as the set of terminal symbols.
Resources
cc: Academia.edu • BlueSky • Laws of Form • Mathstodon • Research Gate
cc: Conceptual Graphs • Cybernetics • Structural Modeling • Systems Science
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