1. Using one of the method described in class and/or textbook (Section 9.1) convert the following regular expression into a state transition diagram: (0+ 10*1)* (01 + 10) Indicate in your answer how did you arrive at the result as follows: Write down all the state transition diagrams that you constructed for all the subexpressions and clearly indicate which diagram corresponds to which expression. Do not simplify any state transition diagram. 2. Consider the following state transition diagram over Σ = {a,b}: b A a a C b B a a b D За a Using the method described in class and in the textbook (Section 9.2) convert the diagram into an equivalent regular expression. Include all the intermediate steps in your answer. 3. Are the languages L1, L2, and L3 below over the alphabet Σ = {a, b, c} regular or non-regular? Justify your answer carefully. (a) L₁ = {a¹b2jc²i : i ≥ 0, j > 2} (b) L₂ = L₁n {akbm c³p: k,m,p≥ 0} (c) L3 = {a²ib²j+1 : i,j ≥ 0}^{akbm c³p : k,m,p ≥ 0}
1. Using one of the method described in class and/or textbook (Section 9.1) convert the following regular expression into a state transition diagram: (0+ 10*1)* (01 + 10) Indicate in your answer how did you arrive at the result as follows: Write down all the state transition diagrams that you constructed for all the subexpressions and clearly indicate which diagram corresponds to which expression. Do not simplify any state transition diagram. 2. Consider the following state transition diagram over Σ = {a,b}: b A a a C b B a a b D За a Using the method described in class and in the textbook (Section 9.2) convert the diagram into an equivalent regular expression. Include all the intermediate steps in your answer. 3. Are the languages L1, L2, and L3 below over the alphabet Σ = {a, b, c} regular or non-regular? Justify your answer carefully. (a) L₁ = {a¹b2jc²i : i ≥ 0, j > 2} (b) L₂ = L₁n {akbm c³p: k,m,p≥ 0} (c) L3 = {a²ib²j+1 : i,j ≥ 0}^{akbm c³p : k,m,p ≥ 0}
Chapter3: Using Methods, Classes, And Objects
Section: Chapter Questions
Problem 17RQ
Related questions
Question
![1. Using one of the method described in class and/or textbook (Section 9.1) convert the following
regular expression into a state transition diagram:
(0+ 10*1)* (01 + 10)
Indicate in your answer how did you arrive at the result as follows: Write down all the state
transition diagrams that you constructed for all the subexpressions and clearly indicate which
diagram corresponds to which expression. Do not simplify any state transition diagram.
2. Consider the following state transition diagram over Σ = {a,b}:
b
A
a
a
C
b
B
a
a
b
D
За
a
Using the method described in class and in the textbook (Section 9.2) convert the diagram
into an equivalent regular expression. Include all the intermediate steps in your answer.
3. Are the languages L1, L2, and L3 below over the alphabet Σ = {a, b, c} regular or non-regular?
Justify your answer carefully.
(a) L₁ = {a¹b2jc²i : i ≥ 0, j > 2}
(b) L₂ = L₁n {akbm c³p: k,m,p≥ 0}
(c) L3 = {a²ib²j+1 : i,j ≥ 0}^{akbm c³p : k,m,p ≥ 0}](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F802524ce-0929-4bf2-904f-06915ae04c1f%2Fb3099ba0-5188-4c4c-992f-0dd772163e52%2Fug159ej_processed.png&w=3840&q=75)
Transcribed Image Text:1. Using one of the method described in class and/or textbook (Section 9.1) convert the following
regular expression into a state transition diagram:
(0+ 10*1)* (01 + 10)
Indicate in your answer how did you arrive at the result as follows: Write down all the state
transition diagrams that you constructed for all the subexpressions and clearly indicate which
diagram corresponds to which expression. Do not simplify any state transition diagram.
2. Consider the following state transition diagram over Σ = {a,b}:
b
A
a
a
C
b
B
a
a
b
D
За
a
Using the method described in class and in the textbook (Section 9.2) convert the diagram
into an equivalent regular expression. Include all the intermediate steps in your answer.
3. Are the languages L1, L2, and L3 below over the alphabet Σ = {a, b, c} regular or non-regular?
Justify your answer carefully.
(a) L₁ = {a¹b2jc²i : i ≥ 0, j > 2}
(b) L₂ = L₁n {akbm c³p: k,m,p≥ 0}
(c) L3 = {a²ib²j+1 : i,j ≥ 0}^{akbm c³p : k,m,p ≥ 0}
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