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4 Consider the FA below. 92 931 Compute: Regular expressions for all R . Regular expressions for ...
6. Describe with regular expressions and with words, the languages ac- cepted by the NFAs below....
6. Describe with regular expressions and with words, the languages ac- cepted by the NFAs below. 1 E, a 90 (b) Co a, b 90 92
Question 1 - Regular Expressions Find regular expressions that define the following languages: 1. All even-length...
Question 1 - Regular Expressions Find regular expressions that define the following languages: 1. All even-length strings over the alphabet {a,b}. 2. All strings over the alphabet {a,b} with odd numbers of a's. 3. All strings over the alphabet {a,b} with even numbers of b’s. 4. All strings over the alphabet {a,b} that start and end with different symbols. 5. All strings over the alphabet {a, b} that do not contain the substring aab and end with bb.
Consider the finite automaton M = (Q,{a, b},8,90,F) defined by the following illustration. -0.00 7 92...
Consider the finite automaton M = (Q,{a, b},8,90,F) defined by the following illustration. -0.00 7 92 Part (a) (8 MARKS] For all i e {0,1,2,3}, write a regular expression Ri such that L(R;) = {we {a,b}* | ** (90, w) = qi}. Briefly justify your answers for R2 and R3.
Regular expressions, DFA, NFA, grammars, languages Regular Languages 4 4 1. Write English descriptions for the...
Regular expressions, DFA, NFA, grammars, languages
Regular Languages 4 4 1. Write English descriptions for the languages generated by the following regular expressions: (a) (01... 9|A|B|C|D|E|F)+(2X) (b) (ab)*(a|ble) 2. Write regular expressions for each of the following. (a) All strings of lowercase letters that begin and end in a. (b) All strings of digits that contain no leading zeros. (c) All strings of digits that represent even numbers. (d) Strings over the alphabet {a,b,c} with an even number of a's....
4. A regular expression for the language over the alphabet fa, b) with each string having...
4. A regular expression for the language over the alphabet fa, b) with each string having an even number of a's is (b*ab*ab*)*b*. Use this result to find regular expressions for the following languages a language over the same alphabet but with each string having odd number of a's. (3 points) a. b. a language over the same alphabet but with each string having 4n (n >- 0) a's. (3 points)
7. 15 Points For a regular expression r, we use L(r) to denote the language it represents. For each of the following regular expressions r, find an NFA that accepts L(r). (b). L((a +b+A) b(a bb)) し(...
7. 15 Points For a regular expression r, we use L(r) to denote the language it represents. For each of the following regular expressions r, find an NFA that accepts L(r). (b). L((a +b+A) b(a bb)) し(((aa
7. 15 Points For a regular expression r, we use L(r) to denote the language it represents. For each of the following regular expressions r, find an NFA that accepts L(r). (b). L((a +b+A) b(a bb)) し(((aa
Prove/disprove for any regular expressions R and S: (a) (R + S)∗S = (R∗S)∗ (b) (R...
Prove/disprove for any regular expressions R and S: (a) (R + S)∗S = (R∗S)∗ (b) (R + S)∗ = (R∗S)∗ Note: when disproving a statement, you must give a concrete example of R and S, meaning a definition of R and S over some chosen alphabet.
Finite state machines & Regular Expressions Please select the best option 1. For the following questions...
Finite state machines & Regular Expressions
Please select the best option
1.
For the following questions Let r, s, t be regular expressions
for the same alphabet "á" (left column). Get the property on the
right side that produces equality for each regular expression.
2.
From the diagram of the solution M = (Σ, Q, s,, F) is
respectively:
e would be NONE.
3.
The following graph corresponds to a diagram of:
A. Transition machine and states
b. Transition...
THEOREM 3.1 Let r be a regular expression. Then there exists some nondeteministic finite accepter that...
THEOREM 3.1 Let r be a regular expression. Then there exists some nondeteministic finite accepter that accepts L (r) Consequently, L () is a regular language. Proof: We begin with automata that accept the languages for the simple regular expressions ø, 2, and a E . These are shown in Figure 3.1(a), (b), and (c), respectively. Assume now that we have automata M (r) and M (r) that accept languages denoted by regular expressions ri and r respectively. We need...
Let A={a,b,c}. Describe the language L(r) for each of the following regular expressions: (a) rFab*c; (b)r=(abuc)*;...
Let A={a,b,c}. Describe the language L(r) for each of the following regular expressions: (a) rFab*c; (b)r=(abuc)*; (c) r=abuc*.
6. Describe with regular expressions and with words, the languages ac- cepted by the NFAs below. 1 E, a 90 (b) Co a, b 90 92
Question 1 - Regular Expressions Find regular expressions that define the following languages: 1. All even-length strings over the alphabet {a,b}. 2. All strings over the alphabet {a,b} with odd numbers of a's. 3. All strings over the alphabet {a,b} with even numbers of b’s. 4. All strings over the alphabet {a,b} that start and end with different symbols. 5. All strings over the alphabet {a, b} that do not contain the substring aab and end with bb.
Consider the finite automaton M = (Q,{a, b},8,90,F) defined by the following illustration. -0.00 7 92 Part (a) (8 MARKS] For all i e {0,1,2,3}, write a regular expression Ri such that L(R;) = {we {a,b}* | ** (90, w) = qi}. Briefly justify your answers for R2 and R3.
Regular expressions, DFA, NFA, grammars, languages
Regular Languages 4 4 1. Write English descriptions for the languages generated by the following regular expressions: (a) (01... 9|A|B|C|D|E|F)+(2X) (b) (ab)*(a|ble) 2. Write regular expressions for each of the following. (a) All strings of lowercase letters that begin and end in a. (b) All strings of digits that contain no leading zeros. (c) All strings of digits that represent even numbers. (d) Strings over the alphabet {a,b,c} with an even number of a's....
4. A regular expression for the language over the alphabet fa, b) with each string having an even number of a's is (b*ab*ab*)*b*. Use this result to find regular expressions for the following languages a language over the same alphabet but with each string having odd number of a's. (3 points) a. b. a language over the same alphabet but with each string having 4n (n >- 0) a's. (3 points)
7. 15 Points For a regular expression r, we use L(r) to denote the language it represents. For each of the following regular expressions r, find an NFA that accepts L(r). (b). L((a +b+A) b(a bb)) し(((aa
7. 15 Points For a regular expression r, we use L(r) to denote the language it represents. For each of the following regular expressions r, find an NFA that accepts L(r). (b). L((a +b+A) b(a bb)) し(((aa
Finite state machines & Regular Expressions
Please select the best option
1.
For the following questions Let r, s, t be regular expressions
for the same alphabet "á" (left column). Get the property on the
right side that produces equality for each regular expression.
2.
From the diagram of the solution M = (Σ, Q, s,, F) is
respectively:
e would be NONE.
3.
The following graph corresponds to a diagram of:
A. Transition machine and states
b. Transition...
THEOREM 3.1 Let r be a regular expression. Then there exists some nondeteministic finite accepter that accepts L (r) Consequently, L () is a regular language. Proof: We begin with automata that accept the languages for the simple regular expressions ø, 2, and a E . These are shown in Figure 3.1(a), (b), and (c), respectively. Assume now that we have automata M (r) and M (r) that accept languages denoted by regular expressions ri and r respectively. We need...
Let A={a,b,c}. Describe the language L(r) for each of the following regular expressions: (a) rFab*c; (b)r=(abuc)*; (c) r=abuc*.
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