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1. Give a DFA for each of the following languages defined over the alphabet Σ (0,...
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...
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 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.
Construct DFA's that recognize the following languages over the alphabet {a,b}: 1. {w|w is any string except abba or aba}. Prove that your DFA recognizes exactly the specified language. 2. {w|w contains a substring either ababb or bbb}. Write the formal description for this DFA too.
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(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...
Give the regular expressions of the following languages (alphabet is ab): a. {w | w has a length of at least three and its second symbol is a b} b. {w | w begins with an a and ends with a b} c. {w | w contains a single b} d. {w | w contains at least three a's} e. {w | w contains the substring baba} d. {w | w is a string of even length} e. The empty...
Problem 2 (20 points). Give context-free grammars that generate the following languages. In all parts, the alphabet Sis {0, 1} 1. {w w contains at least two Os} 2. {ww contains a substring 010) 3. {w w starts and ends with the same symbol} 4. {ww = w that is, w is a palindrome }
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...