(4) 1. Let G = (V,T,S,P) be the phrase structure grammar with V={0,1,A,B,S}, T={0,1}, and the set of productions P consisting of: S→ 0AB, S→ 1B, A → 1B01, B → 100. a. Either show that 0110001001 belongs to the language generated by G or explain why it does not.

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
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Please answer 1a, 1b, and 2. questions attached 

(4) 1. Let G = (V,T,S,P) be the phrase structure grammar with V={0,1,A,B,S}, T={0,1},
and the set of productions P consisting of: S→ 0AB, S→ 1B, A → 1B01, B → 100.
a. Either show that 0110001001 belongs to the language generated by G or explain why it
does not.
b. Either show that 1100 belongs to the language generated by G or explain why it does
not.
(5) 2. Draw a finite state machine (with output) represented by the following state table.
State f(0) f(1) g(0) g(1)
S3
0
1
S4
1
0
S1
1
1
S4
0
0
So
1
0
So
S1
S2
S3
S4
S1
S2
S2
So
S3
Transcribed Image Text:(4) 1. Let G = (V,T,S,P) be the phrase structure grammar with V={0,1,A,B,S}, T={0,1}, and the set of productions P consisting of: S→ 0AB, S→ 1B, A → 1B01, B → 100. a. Either show that 0110001001 belongs to the language generated by G or explain why it does not. b. Either show that 1100 belongs to the language generated by G or explain why it does not. (5) 2. Draw a finite state machine (with output) represented by the following state table. State f(0) f(1) g(0) g(1) S3 0 1 S4 1 0 S1 1 1 S4 0 0 So 1 0 So S1 S2 S3 S4 S1 S2 S2 So S3
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