Give cfg for the following language over {0,1}
{w | w contains the substring 011}
Give cfg for the following language over {0,1} {w | w contains the substring 011}
L = {w|w contains the substring bab} give the regular expression that describes L are the 2 languages L and L* the same language? Is L(aba)* a regular language?
Give a Context Free Grammar (CFG) for the following language: L = { w | the number of a’s and the number of b’s in w are equal, ∑= {a, b} }
Give a regular expression for the language of strings over {a,b} in which each substring of length 2 contains two distinct characters
10. Consider the following CFG: Is the language generated by this CFG a regular language? If so, give a regular expression denoting it. If not, prove it.
10. Consider the following CFG: Is the language generated by this CFG a regular language? If so, give a regular expression denoting it. If not, prove it.
1. Construct a Finite Automata over Σ={0,1} that recognizes the language {w | w ∈ {0,1}* contains a number of 0s divisible by four and exactly three 1s} 2. Construct a Finite Automata that recognizes telephone numbers from strings in the alphabet Σ={1,2,3,4,5,6,7,8,9, ,-,(,),*,#,}. Allow the 1 and area code prefixing a phone number to be optional. Allow for the segments of a number to be separated by spaces (denote with a _ character), no separation, or – symbols.
Give a six-state (including dead state) DFA for the language {w ∈ {a,b}*: w contains abb as a substring, and does not contain bba}
Give the state diagram for a deterministic finite automaton (DFA) recognizing the following language over Σ = {0,1}: L1 = {w : w contains an even number of 0’s AND w ends in 1}
Give regular expressions for the following languages: (a) The language of all strings over {a,b} except the empty string. (b) The language of all strings over {a,b} that contain both bab and bba as substrings. (c)L k = {w ∈ {a,b} * | w contains a substring having 3 more b’s than a’s}. (d) The language of all strings over {a,b} that have a b in every odd position (first symbol is considered position 1; empty string should be accepted)...
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...
4. (6 pts) Give an implementation-level description (describe how you would move the tape head, what you write on the tape, etc) of a Turing machine that decides the language (w w contains an even number of Is) over the alphabet (0,1)
4. (6 pts) Give an implementation-level description (describe how you would move the tape head, what you write on the tape, etc) of a Turing machine that decides the language (w w contains an even number of Is)...