Create DFAs for the following language specifications. 1. All strings on Σ = {A, B, C}...
Create DFAs for the following language specifications.
1. All strings on Σ = {A, B, C} that contain each letter (A, B, and
C) at least once.
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Create DFAs for the following language specifications.
1. All strings on Σ = {A, B, C}...
Create a DFA for the language L = {w ∈ {0, 1}∗ : w is a...
Create a DFA for the language L = {w ∈ {0, 1}∗ : w is a set of strings with 011 as a substring AND is not divisible by 3 }. First, create two separate DFAs for is a set of strings with 011 as a substring and not divisible by 3. Then, create the intersection between those DFAs by using the product construction. Show all your work. Hint: Use the least amount of states as possible.
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}.
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...
For each of the following, create an NFA that recognizes exactly the language described. (1) The...
For each of the following, create an NFA that recognizes exactly the language described. (1) The set of binary strings with at most three 0s or at least four 1s. (2) The set of binary strings that contain the substring 000 and whose third to last digit is 1.
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.
1. Find expressions for each of the following. (Leave your answer as a mathematical expression rather than a number.) (a) The number of strings of 8 lower case letters (a-z) that do not contain any l...
1. Find expressions for each of the following. (Leave your answer as a mathematical expression rather than a number.) (a) The number of strings of 8 lower case letters (a-z) that do not contain any letter more than once. (b) The number of binary strings of length 10 that contain at most two Os. (c) The number of subsets of 11,2,,10 with three elements that contain at least one even number and at least one odd number. [Give brief justifications.]...
1. (15) Let L be the language over {a,b,c} accepting all strings so that: 1. No...
1. (15) Let L be the language over {a,b,c} accepting all strings so that: 1. No b's occur before the first c. 2. No a's occur after the first c. 3. The last symbol of the string is b. 4. Each b that is not the last symbol is immediately followed by at least two c's. Choose any constructive method you wish, and demonstrate that is regular. You do not need an inductive proof, but you should explain how your...
Let L be the language over {a, b, c} accepting all strings so that:
1. Let L be the language over {a, b, c} accepting all strings so that: 1. No b's occur before the first c. 2. No a's occur after the first c. 3. The last symbol of the string is b. 4. Each b that is not the last symbol is immediately followed by at least two d's. Choose any constructive method you wish, and demonstrate that L is regular. You do not need an inductive proof, but you should explain how your construction accounts for...
Write down the regular expressions for the following set of strings over {a, b}: 1.Strings that contain no more than one...
Write down the regular expressions for the following set of strings over {a, b}: 1.Strings that contain no more than one occurrence of the string aa. 2.All strings containing aba: 3.All strings of odd length 4.A string in this language must have at least two a's. 5.All strings that begin with a, and have an even number of b Bonus - All strings with “a” at every odd position
(a) Give 2 strings that are members of language specified by the regular expression (0+ 1)∗...
(a) Give 2 strings that are members of language specified by the regular expression (0+ 1)∗ but are not members of the language specified by 0∗ + 1∗ . Then give 2 strings that are members of both languages. Assume the alphabet is Σ = {0, 1}. (b) For each of the following languages specified by regular expressions, give 2 strings that are members and 2 strings that are not members (a total of 4 strings for each part). Assume...
1. Find expressions for each of the following. (Leave your answer as a mathematical expression rather than a number.) (a) The number of strings of 8 lower case letters (a-z) that do not contain any letter more than once. (b) The number of binary strings of length 10 that contain at most two Os. (c) The number of subsets of 11,2,,10 with three elements that contain at least one even number and at least one odd number. [Give brief justifications.]...
1. (15) Let L be the language over {a,b,c} accepting all strings so that: 1. No b's occur before the first c. 2. No a's occur after the first c. 3. The last symbol of the string is b. 4. Each b that is not the last symbol is immediately followed by at least two c's. Choose any constructive method you wish, and demonstrate that is regular. You do not need an inductive proof, but you should explain how your...
1. Let L be the language over {a, b, c} accepting all strings so that: 1. No b's occur before the first c. 2. No a's occur after the first c. 3. The last symbol of the string is b. 4. Each b that is not the last symbol is immediately followed by at least two d's. Choose any constructive method you wish, and demonstrate that L is regular. You do not need an inductive proof, but you should explain how your construction accounts for...
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