Here is a context-free grammar that can be used to generate

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Reference no: EM13471429

Here is a context-free grammar that can be used to generate algebraic expressions via the arithmetic operators (addition, subtraction, multiplication, and division), in the variables p, q, and r. The letter E stands for expression:

Rule 1: E -› p
Rule 2: E -› q
Rule 3: E -› r
Rule 4: E -› E + E
Rule 5: E -› E - E
Rule 6: E -› E X E
Rule 7: E -› E/E
Rule 8: E -›(E)

(i). Use the above grammar to derive the string given by the mathematical expression E = (p + q) X p - r X p/(q + q)

(ii). Provide a parse tree for this derivation.

Reference no: EM13471429

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