As with the Chomsky Phrase Structured Grammars we studied, in the set of languages generated by Grammars-LA we also have subclasses:
General LA Grammars, or A-LAGs, correspond to the definition above.
Linearly Bounded LA Grammars, or B-LAGs (LAGs), are the subclass of A-LAGs in which the length of categories is linearly bounded with respect to the length of the input string.
Constant-bounded LA Grammars, or C-LAGs, are the subclass of B-LAGs in which south korea consumer email list the amount of computation required by individual categorical operations is bounded by a constant.
The following is the relationship of LAGs to the Chomsky Hierarchy (we include some performance aspects, which we will eventually address in later issues).
The set of Grammars-LA…
general or A-LAGs, accept and generate all Recursive (or “Decidable”) Languages, something relevant, since as we saw in a previous issue, in the Chomsky Hierarchy there was no type of Grammar that defined this type of languages.
Within these C-LAGs we have the subclasses of C3-LAGs C2-LAGs and C1-LAGs
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