Write a grammar for a language whose sentences start with a non-zero number of a’s, end with a
non-zero number of c’s, and has a non-zero number of b’s in between

Here's a simple grammar for a language that meets the criteria described:

Non-terminal symbols:

S: Represents the starting symbol or the entire sentence.

A: Represents one or more 'a's at the beginning of the sentence.

B: Represents one or more 'b's in the middle of the sentence.

C: Represents one or more 'c's at the end of the sentence.

Terminal symbols:

'a': Represents the letter 'a'.

'b': Represents the letter 'b'.

'c': Represents the letter 'c'.

Production rules:

S -> ε (empty string)

S -> A B C

A -> 'a' A

A -> 'a'

B -> 'b' B

B -> 'b'

C -> 'c' C

C -> 'c'

Note: In this grammar, ε represents an empty string or no symbols, and the '|' symbol denotes "or". The production rules indicate that a sentence can be formed by starting with one or more 'a's (A), followed by one or more 'b's (B), and ending with one or more 'c's (C). The non-terminal symbol S represents the entire sentence, and the non-terminal symbols A, B, and C represent the different parts of the sentence as described.

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