Question

Write context-free grammar for p-parentheses, E-exponents, M-multiplication, D-division, A-addition, and S-subtraction, and the context-free grammar is not ambiguous. Make sure all binary operators are left-associative and rewrite the problem with only right-associative operators.

Answer 1

A context-free grammar for p-parentheses, E-exponents, M-multiplication, D-division, A-addition, and S-subtraction with both left-associative and right-associative operators is provided.

Step-by-step explanation:

A context-free grammar for p-parentheses, E-exponents, M-multiplication, D-division, A-addition, and S-subtraction, with left-associative operators, would be:

S → p | E | M | D | A | S

E → pS

M → S * S

D → S / S

A → S + S

S → S - S

To rewrite the problem with only right-associative operators, we can modify the grammar as follows:

S → p | E | M | D | A | S

E → pS

M → S * M

D → S / D

A → S + A

S → S - S