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Consider the language L defined by these rewrite rules S->A | AX X->ABY | AB Y->ABCY | ABC BA -> AB CA -> AC CB -> BC A->a B->b C->c   Question 1: (16) (a) Derive the string “a”.   (b) Derive the string “aab“     (c ) Derive the string “aaabbc”   (d) Derive the string “aaaabbbcc”   (e) Describe the strings that are in L.

Consider the language L defined by these rewrite rules S->A | AX X->ABY | AB Y->ABCY | ABC BA -> AB CA -> AC CB -> BC A->a B->b C->c   Question 1: (16) (a) Derive the string “a”.   (b) Derive the string “aab“     (c ) Derive the string “aaabbc”   (d) Derive the string “aaaabbbcc”   (e) Describe the strings that are in L.

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Question

Consider the language L defined by these rewrite rules

S->A | AX

X->ABY | AB

Y->ABCY | ABC

BA -> AB

CA -> AC

CB -> BC

A->a

B->b

C->c

 

Question 1: (16)

(a) Derive the string “a”.

 

(b) Derive the string “aab“

 

 

(c ) Derive the string “aaabbc”

 

(d) Derive the string “aaaabbbcc”

 

(e) Describe the strings that are in L.

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