Here is a nondeterministic finite automaton: 0 0 0,1 A B cal 1 0 Convert this...
QUESTION 3 Here is a nondeterministic finite automaton with epsilon-transitions. 1 1 Start €,0 0 € 90 91 92 93 95 94 Which of the following strings is NOT accepted? 10101 01110 01111 11110 The following nondeterministic finite automaton: 1 0 А B 0 1 accepts which of the following strings? 1001011 0111011 0101010 1010101
Consider the following E-NFA. {9,r} Sols 19 a. Compute the E-closure of each state. b. Convert the automaton to DFA using subset construction method.
6. (a) Use Thompson's construction to convert the above regular expression 1(0/1) *101 into an NFA (7 points) (b) Convert the NFA of part (&) into a DFA using the subset construction (points)
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...
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...
Please help me... 5. (a) Consider the deterministic finite automaton M with states S := {80, 81, 82, 83}, start state so, single accepting state $3, and alphabet E = {0,1}. The following table describes the transition function T:S xHS. State 0 1 So So S1 So S1 S2 So $1 82 S3 S3 82 Draw the transition diagram for M. Let U = {01110,011100}. For each u EU describe the run for input u to M. Does M accept...
Question 8, please. 2. Prove: (a) the set of even numbers is countable. (b i=1 3. The binary relation on pair integers - given by (a,b) - (c,d) iff a.d=cbis an equivalence relation. 4. Given a graph G = (V, E) and two vertices s,t EV, give the algorithm from class to determine a path from s to t in G if it exists. 5. (a) Draw a DFA for the language: ( w w has 010 as a substring)....
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...
UueSLIORS! 1. Find the error in logic in the following statement: We know that a b' is a context-free, not regular language. The class of context-free languages are not closed under complement, so its complement is not context free. But we know that its complement is context-free. 2. We have proved that the regular languages are closed under string reversal. Prove here that the context-free languages are closed under string reversal. 3. Part 1: Find an NFA with 3 states...
3 points) Question Three Consider the context-free grammar S >SS+1 SS 1a and the string aa Give a leftmost derivation for the string. 3 points) (4 poiots) (5 points) (3 points) sECTION IWOLAttcmpt.any 3.(or 2) questions from this.scction Suppose we have two tokens: (1) the keyword if, and (2) id-entifiers, which are strings of letters other than if. Show the DFA for these tokens. Give a nightmost derivation for the string. Give a parse tree for the string i) Is...