Final answer:
The Context-Free Grammar into Greibach Normal Form, which is a specific form of grammar used in computer science. The CFG can be converted into GNF through a series of steps aimed at restructuring the productions to have terminals leading followed by non-terminals.
Step-by-step explanation:
The task is to convert the given Context-Free Grammar (CFG) into Greibach Normal Form (GNF). The original CFG is: S -> ABA, A -> BS | b, B -> SA | a. In GNF, all productions have the form A -> aα, where A is a non-terminal, a is a terminal, and α is a (possibly empty) string of non-terminals.
To convert the CFG into GNF, we can apply the following steps: Remove any null productions (not present in this CFG). Eliminate any unit productions (productions of the form A -> B). Eliminate left recursion. Put the productions in the desired form with terminals leading and followed by non-terminals.
For this CFG, following these steps, we might get a converted GNF like this: S -> bSA | a, A -> bSSA | b, B -> bS | a. The provided CFG should be handled one step at a time to ensure that the final form adheres strictly to the characteristics of GNF, with each step applied thoroughly before proceeding to the next.