Give a DFA for the following language over the alphabet Σ = {0, 1}: L={ w...
Give a DFA for the following language over the alphabet Σ = {0, 1}:
L={ w | w starts with 0 and has odd length, or starts with 1 and has even length }. E.g., strings 0010100, 111010 are in L, while 0100 and 11110 are not in L.
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Give a DFA for the following language over the alphabet Σ = {0,
1}:
L={ w...
1(a)Draw the state diagram for a DFA for accepting the following language over alphabet {0,1}: {w...
1(a)Draw the state diagram for a DFA for accepting the following language over alphabet {0,1}: {w | the length of w is at least 2 and has the same symbol in its 2nd and last positions} (b)Draw the state diagram for an NFA for accepting the following language over alphabet {0,1} (Use as few states as possible): {w | w is of the form 1*(01 ∪ 10*)*} (c)If A is a language with alphabet Σ, the complement of A is...
Automata Question. Over the alphabet Σ = {0, 1}: 1) Give a DFA, M1, that accepts...
Automata Question. Over the alphabet Σ = {0, 1}: 1) Give a DFA, M1, that accepts a Language L1 = {all strings that contain 00} 2) Give a DFA, M2, that accepts a Language L2 = {all strings that end with 01} 3) Give acceptor for L1 intersection L2 4) Give acceptor for L1 - L2
1. Give a DFA for each of the following languages defined over the alphabet Σ (0,...
1. Give a DFA for each of the following languages defined over the alphabet Σ (0, i): a) (3 points) L={ w | w contains the substring 101 } b) (3 points) L-wl w ends in 001)
Give regular expressions generating the languages of 1. {w over the alphabet of {0, 1} | w is any string except 11 and 1...
Give regular expressions generating the languages of 1. {w over the alphabet of {0, 1} | w is any string except 11 and 111} 2. {w over the alphabet of {0, 1} | w contains at least two 0’s and at most one 1} 3. {w over the alphabet of {0, 1} | the length of w is at most 9} 4. {w over the alphabet of {0, 1} | w contains at least three 1 s} 5. {w over...
John Doe claims that the language L, of all strings over the alphabet Σ = {...
John Doe claims that the language L, of all strings over the alphabet Σ = { a, b } that contain an even number of occurrences of the letter ‘a’, is not a regular language. He offers the following “pumping lemma proof”. Explain what is wrong with the “proof” given below. “Pumping Lemma Proof” We assume that L is regular. Then, according to the pumping lemma, every long string in L (of length m or more) must be “pumpable”. We...
Construct an DFA automaton that recognizes the following language of strings over the alphabet {a,b}: the...
Construct an DFA automaton that recognizes the following language of strings over the alphabet {a,b}: the set of all strings over alphabet {a,b} that contain aa, but do not contain aba.
Draw a DFA which accepts the following language over the alphabet of {0,1}: the set of...
Draw a DFA which accepts the following language over the alphabet of {0,1}: the set of all strings such that there are no consecutive 0s, and the number of 1s is divisible by 5. Your DFA must handle all intput strings in {0,1}*. Here is a way to approach the problem: First focus only building the DFA which accepts the language: As you build your DFA, label your states with an explanation of what the state actually represents in terms...
Question 1: Design a DFA with at most 5 states for the language L1 = {w...
Question 1: Design a DFA with at most 5 states for the language L1 = {w ∈ {0, 1}∗ | w contains at most one 1 and |w| is odd}. Provide a state diagram for your DFA. Approaching the Solution --since we haven’t really practiced this type of assignment (i.e. had to define our machine based on only having the language given; not the formal 5 tuples), I am providing the steps for how to work through this; you are...
Find a regular expression for the following language over the alphabet Σ = {a,b}. L = {strings th...
Find a regular expression for the following language over the alphabet Σ = {a,b}. L = {strings that begin and end with a and contain bb}.
Three. Show a DFA over the alphabet {a, b} for the following language via complement construction...
Three. Show a DFA over the alphabet {a, b} for the following language via complement construction (as in Exercise l.5.d): {w belongs to Sigma* | w is not in a*b*}.
1. Give a DFA for each of the following languages defined over the alphabet Σ (0, i): a) (3 points) L={ w | w contains the substring 101 } b) (3 points) L-wl w ends in 001)
Three. Show a DFA over the alphabet {a, b} for the following language via complement construction (as in Exercise l.5.d): {w belongs to Sigma* | w is not in a*b*}.
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