Let L1 = {ω|ω begins with a 1 and ends with a 0}, L2 = {ω|ω has length at least 3 and its third symbol is a 0}, and L3 = {ω| every odd position of ω is a 1} where L1, L2, and L3 are all languages over the alphabet {0, 1}. Draw finite automata (may be NFA) for L1, L2, and L3 and for each of the following (note: L means complement of L):
b)L1 UL2
Automata, Languages and Computation Using the languages L1 = { (10)* 1(1+0) + (10)*} and L2 = { a(a*) }, construct an ei NFA that accepts the concatenation of the languages L1L2. Using the languages L1 = { (10)* 1(1+0) + (10)*} and L2 = { a(a*) }, construct an ei NFA that accepts the concatenation of the languages L1L2.
Let L1 = L(a∗baa∗) and L2 = L(aba∗). Find L1/L2.This is a Formal Languages and Automata question.
1. (a) Give state diagrams of DFA’s recognizing the following languages. That alphabet is Σ = {a,b} L1 = {w | w any string that does not contain the substring aab} L2 = {w | w ∈ A where A = Σ*− {a, aa, b}} 2. (a) Give state diagrams of DFA’s recognizing the following languages. The alphabet is {0, 1}. L3 = {w | w begins with 0 ends with 1} (b) Write the formal definition of the DFA...
If L1 and L2 are Regular Languages, then L1 ∪ L2 is a CFL. Group of answer choices True False Flag this Question Question 61 pts If L1 and L2 are CFLs, then L1 ∩ L2 and L1 ∪ L2 are CFLs. Group of answer choices True False Flag this Question Question 71 pts The regular expression ((ac*)a*)* = ((aa*)c*)*. Group of answer choices True False Flag this Question Question 81 pts Some context free languages are regular. Group of answer choices True...
1. Construct a DFA that recognizes each of the following languages: a. L1 = {w € {a, b}* | w contains at least two a's and at least two b’s} b. L2 = {w € {a,b}* | w does not contain the substring abba} C. L3 = {w € {a, b}* | the length of w is a multiple of 4}
1.this question contains two independent part. a)Given two NFA’s M1 and M2, show how you will construct an NFA M such that L(M) = L(M1) ∩ L(M2). b)for the following languages over the alphabet Σ = {a, b}, give a DFA that recognizes that language L3 consists of strings in which every odd position contains b
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...
1) 2) Give formal descriptions (5-tuples) for the DFAs shown in figure below: 3) Give the state diagrams of DFAs recognizing the following languages over ? = {0, 1}: a) LÆ b) L? c) {e, 1001} d) {e, 101, 1001} e) {w : w has prefix 10} f) {w : w does not contain the substring 011} 4) Give the state diagrams of DFAs recognizing the following languages over ? = {0, 1}: a) {w: |w| ? 5} b) {w...
Any answer that involves a design for a Finite Automaton (DFA or NFA) should contain information about the following five components of the FA (corresponding to the 5-tuple description): i) The set of states Q; ii) the alphabet Σ; iii) the start state; iv) the set of final states F; v) the set of transitions δ, which can be either shown in the form of a state diagram (preferred) or a transition table. You can either present the answer in...
Give context-free grammars generating each of the following languages over Σ = {0, 1}: {w : |w| ≤ 5} {w : |w| > 5 or its third symbol is 1} {w : every odd position of w is 1}