Describe an algorithm that given two context-free grammars G1 and G2 outputs YES if and only if every string generated by G1 is also generated by G2. (I.e., output YES exactly when the set of strings generated by G1 is a subset of the set of strings generated by G2.) Would such an algorithm be possible? why or why not
Describe an
CONTEXT FREE GRAMMAR:-
A context-free grammar is a set of rules that define how to form strings in a language. It consists of a set of terminal symbols, which are the characters that appear in the strings of the language, and a set of nonterminal symbols, which are placeholders for patterns of characters. The rules specify how to replace each nonterminal symbol with a string of terminal symbols.
For example, the following context-free grammar defines the language of all strings that consist of a sequence of zero or more a's followed by a sequence of zero or more b's:
Terminals: a, b
Nonterminals: S
Rules:
S → ε
S → aS
S → bS
S → ab
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