Using graphical notation, define an NFA that accepts all strings over the alphabet {0, 1} that contain any of 110, 100, or 101 as substrings (non-exclusively).
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Using graphical notation, define an NFA that accepts all strings over the alphabet {0, 1} that...
thank you Design an NFA over the alphabet <={0,1,2,3,4,5,6,7,8,9} such that it accepts strings which correspond to a number divisible by 3. Hint: String can be of any length. Look up the rule for divisibility by 3 if you need. Give the formal definition of the automaton and draw its transition diagram.
2. a. Draw a NFA that accepts all strings over Σ = {?, ?} that either end in ?? or contain the substring ??. b. Then convert the NFA in the previous exercise to a DFA
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
19. Construct minimal NFA that all accepts all strings of {a,b} and L={ambn|m,n>0} Corrected question : 19. Construct minimal FA that all accepts all strings of {a,b} and L={a^mb^n|m,n>0}
Part B - Automata Construction Draw a DFA which accepts the following language over the alphabet of {0,1}: the set of all strings such that the number of 0s is divisible by 2 and the number of 1s is divisible by 5. Your DFA must handle all intput strings in {0,1}*. Here is a methodical way to do this: Figure out all the final states and label each with the shortest string it accepts, work backwards from these states to...
Construct a regular expression that recognizes the following language of strings over the alphabet {0 1}: The language consisting of the set of all bit strings that start with 00 or end with 101 (or both). Syntax The union is expressed as R|R, star as R*, plus as R+, concatenation as RR. Epsilon is not supported but you can write R? for the regex (R|epsilon).
3. [20 points] Give short answers to each of the following parts. Each answer should be at most three sentences. Be sure to define any notation that you use. (a) Explain the difference between a DFA and an NFA. (b) Give a regular expression for the language consisting of strings over the alphabet 2-(0, 1) that contains an even number of 0's and an odd number of 1's and does not contain the substring 01. (c) Give the formal definition...
Express as a set using set-builder notation The set of all binary strings that contain at least one 0 and at least one 1. The set of all binary strings with even length. The set of all binary strings that contain an even number of 1’s. The set of all binary strings that read the same forward and backwards
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.
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...