Consider the grammar, with start symbol VO, for which {VO, V1, V2) (set of non- terminal symbols) N= = T = = {a,b,c} (set of terminal symbols) and the production rules are 1. VO a V1 3. VO-> b 5. V1 -> C 7. V1bcV1 9. V2-> VOa V1 2. VO-> bV2 4. V1 -> C V1 6. V1 -> bV0 8. V2-> a V2 10. V2bV1 In the space below, show that the string ac²b³ac is in the language defined by the gra producing a derivation of the string. State the production rule used at each stage of the

Algebra: Structure And Method, Book 1
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Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter3: Solving Equation And Problems
Section3.7: Costs, Income, And Value Problems
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Consider the grammar, with start symbol VO, for which
N = {VO, V1, V2) (set of non- terminal symbols)
T = {a,b,c}
(set of terminal symbols)
and the production rules are
1. VO a V1
3. VO-> b
5. V1
C
7. V1
bcV1
9. V2-> V0a V1
2. VO
bV2
4. V1 ->
C V1
6. V1 ->
bV0
8. V2-> a V2
10. V2bV1
In the space below, show that the string ac²b³ac is in the language defined by the grammar, by
producing a derivation of the string. State the production rule used at each stage of the derivation
Paragraph V
B I U A
V
5
GO
+ v
...
11.
Transcribed Image Text:Consider the grammar, with start symbol VO, for which N = {VO, V1, V2) (set of non- terminal symbols) T = {a,b,c} (set of terminal symbols) and the production rules are 1. VO a V1 3. VO-> b 5. V1 C 7. V1 bcV1 9. V2-> V0a V1 2. VO bV2 4. V1 -> C V1 6. V1 -> bV0 8. V2-> a V2 10. V2bV1 In the space below, show that the string ac²b³ac is in the language defined by the grammar, by producing a derivation of the string. State the production rule used at each stage of the derivation Paragraph V B I U A V 5 GO + v ... 11.
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