4. Which of the following is a parse tree for the grammar S → abS, S → ab? S 5 a b (a) b а a b (d) a a 5 b (c) 5 a (b) S a 5 a S a) (a) b) (b) а (e) b 5. Which of the parse trees below yield the same word? a 5 a a (a) S b b a a (d) S 5 a (b) 15 a 5 a 5 5 (e) 15 ហ (f) a d) (f) 5 b a b (f) a b (c) a) d and f b) a and c c) a and b d) c and d 1. Consider the grammars: G₁: S SaS aala →>> G2: S→ SS & G3: S→ SS a G4: S SS aa → G5: S→ Sala G6: SaSalaala G7: SSAS | E Describe the language of each of these grammars. Then, identify from the list below a pair of grammars that define the same language. a) G6, G7 b) G5, G6 c) G5, G2 d) G1, G7 2. Here is a parse tree that uses some unknown grammar G. S B A S a A B a b A a Which of the following productions is surely one of those for grammar G? a) Bb b) S B c) A S d) Aa 3. Here is a context-free grammar G: S -> AB A → 0A1 | 2 B → 1B | 3A Which of the following strings is in L(G)? a) 0002111112 b) 00213021 00211100211 d) 21113021
4. Which of the following is a parse tree for the grammar S → abS, S → ab? S 5 a b (a) b а a b (d) a a 5 b (c) 5 a (b) S a 5 a S a) (a) b) (b) а (e) b 5. Which of the parse trees below yield the same word? a 5 a a (a) S b b a a (d) S 5 a (b) 15 a 5 a 5 5 (e) 15 ហ (f) a d) (f) 5 b a b (f) a b (c) a) d and f b) a and c c) a and b d) c and d 1. Consider the grammars: G₁: S SaS aala →>> G2: S→ SS & G3: S→ SS a G4: S SS aa → G5: S→ Sala G6: SaSalaala G7: SSAS | E Describe the language of each of these grammars. Then, identify from the list below a pair of grammars that define the same language. a) G6, G7 b) G5, G6 c) G5, G2 d) G1, G7 2. Here is a parse tree that uses some unknown grammar G. S B A S a A B a b A a Which of the following productions is surely one of those for grammar G? a) Bb b) S B c) A S d) Aa 3. Here is a context-free grammar G: S -> AB A → 0A1 | 2 B → 1B | 3A Which of the following strings is in L(G)? a) 0002111112 b) 00213021 00211100211 d) 21113021
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question

Transcribed Image Text:4. Which of the following is a parse tree for the grammar S → abS, S → ab?
S
5
a
b
(a)
b
а
a
b
(d)
a
a
5
b
(c)
5
a
(b)
S
a
5
a
S
a) (a)
b) (b)
а
(e)
b
5. Which of the parse trees below yield the same word?
a
5
a
a
(a)
S
b
b
a
a
(d)
S
5
a
(b)
15
a
5
a
5
5
(e)
15
ហ
(f)
a
d) (f)
5
b
a
b
(f)
a
b
(c)
a) d and f
b) a and c
c) a and b
d) c and d

Transcribed Image Text:1. Consider the grammars:
G₁: S SaS aala
→>>
G2: S→ SS &
G3: S→ SS a
G4: S SS aa
→
G5: S→ Sala
G6: SaSalaala
G7: SSAS | E
Describe the language of each of these grammars. Then, identify from the list below a pair of grammars
that define the same language.
a) G6, G7
b) G5, G6
c) G5, G2
d) G1, G7
2. Here is a parse tree that uses some unknown grammar G.
S
B
A
S
a
A
B
a
b
A
a
Which of the following productions is surely one of those for grammar G?
a) Bb
b) S B
c) A S
d) Aa
3. Here is a context-free grammar G:
S
-> AB
A → 0A1 | 2
B
→
1B | 3A
Which of the following strings is in L(G)?
a) 0002111112
b) 00213021
00211100211
d) 21113021
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