Create both an NFA and DFA that recognizes the language {w | w has an even length}
Create both an NFA and DFA that recognizes the language {w | w has an even...
2. (a) Using Thompson's construction, construct an NFA that recognizes the same language as defined by the following regular expression (1 010) *1 (b) Using the subset construction, convert the NFA into a DFA. Optimize the resulting DFA by merging any equivalent states
(10pts)Use the subset construction to build a DFA that recognizes the language recognized by the following NFA. Clearly show your steps so that it is clear that you used the subset construction. 2 90
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.
Let M be a DFA that recognizes a finite language A, and suppose M has n states. Determine if the following statement is true or false: if w Element of A, then |w| < = n. Prove your answer.
Give an NFA recognizing the language (01U011U0111)* and convert that NFA to an equivalent DFA. Please explain with a δ diagram the convertion
Show that the following language is decidable. L={〈A〉 | A is a DFA that recognizes Σ∗ } M =“On input 〈A〉 where A is a DFA:
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.
1. Design an NFA (Not DFA) of the following languages. a) Lw E a, b) lw contain substring abbaab) b) L- [w E 10,1,2) lsum of digits in w are divisible by three) c) L-(w E {0,1,2)' |The number is divisible by three} d) The language of all strings in which every a (if there are any) is followed immediately by bb. e) The language of all strings containing both aba and bab as substrings. f L w E 0,1every...
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.
Consider the following NFA: Informally describe the language accepted by the NFA. Convert the NFA into a DFA.