Question

Proving a string can be formed of form a^m b^n

a) Chomsky Normal Form
b) Pumping Lemma
c) Backus-Naur Form (BNF)
d) Kleene's Theorem

Answer 1

To prove that a string can be formed in the form of a^m b^n, we can use Backus-Naur Form (BNF).

Step-by-step explanation:

To prove that a string can be formed in the form of a^m b^n, we can use Backus-Naur Form (BNF). BNF is a notation technique used to describe the syntax of programming languages. We can define a production rule in BNF as follows:

S -> aSb | ε

This production rule states that a string can be formed by concatenating the symbol 'a' followed by the symbol 'S' and then followed by the symbol 'b', or the string can be empty (represented by the symbol ε). By using this BNF rule, we can generate strings of the form a^m b^n, where m and n are non-negative integers.