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Prove that if every state of a DFA M is an accepting state (i.e., machine M...
Question 1: Every language is regular T/F Question 2: There exists a DFA that has only one final state T/F Question 3: Let M be a DFA, and define flip(M) as the DFA which is identical to M except you flip that final state. Then for every M, the language L(M)^c (complement) = L( flip (M)). T/F Question 4: Let G be a right linear grammar, and reverse(G)=reverse of G, i.e. if G has a rule A -> w B...
Question 9 10 pts Select all the statements below which are true: Every dfa is also an nfa. A maximum of 1 final state is allowed for a dfa. Alanguage that is accepted by a dfa is a regular language. Each dfa must have a trap state 0 Let M be an nfa, and let w be an input string. If Mends in a non-final state after reading w, then wis rejected. Let = {a,b,c,d}and M be an nfa with...
Question 1: Design a DFA with at most 5 states for the language L1 = {w ∈ {0, 1}∗ | w contains at most one 1 and |w| is odd}. Provide a state diagram for your DFA. Approaching the Solution --since we haven’t really practiced this type of assignment (i.e. had to define our machine based on only having the language given; not the formal 5 tuples), I am providing the steps for how to work through this; you are...
a). Provide a DFA M such that L(M) = D, and provide an English
explanation of how it works (that is, what each state
represents):
b). Prove (by induction on the length of the
input string) that your DFA accepts the correct inputs (and only
the correct inputs). Hint : your explanation in part a) should
provide the precise statements that you need to show by induction.
For example, you could show by induction on |w| that
E2 = {[:],...
a. Let A = { < A,w > | A is a DFA that accepts w}, M is a Turing machine, and L(M) = A. Suppose M accepts the string p. p is in the form of < B,s > where B is a DFA, s is a string, and B accepts s. True False b. A linear equation is in the form of ax + b where a and b are constants and x is a variable. Let x-intercept...
4. Construct a finite-state machine that changes every other bit, starting with the second bit, of an input string, and leaves the other bits unchanged. (Show as a diagram.) 5. Construct a finite-state machine that accepts bit strings that contain at least 3 consecutive 1's. 6. Construct a finite-state machine that accepts bit strings that do not contain any 3 consecutive l's
4. Construct a finite-state machine that changes every other bit, starting with the second bit, of an input...
4. (20 points) Draw a state diagram for Mealy Machine that your state diagram minimum? Prove it. accepts every occurrence of the staring 10101. I
4. (20 points) Draw a state diagram for Mealy Machine that your state diagram minimum? Prove it. accepts every occurrence of the staring 10101. I
3. Let L-{(M, q》 | M is a Turing machine and q is a state in M such that: there is at least one input string w such that M executed on w enters state q). Side note: In the real world, you can think of this as a question about finding "dead code" in a program. The question is: for a given line of code in your program, is there an input that will make the program execute that...
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...
Solve the following Deterministic Finite Automata ( DFA ). For Σ = {0, 1} Construct a DFA M such that L(M) = { w : w ends with 101 followed by an ODD number of 0's} Draw the state diagram and transition table..... 1) Given A Formal Definition M = (Q, Σ, ? , q, F) 2) Trace the Path (Listing States) taken by words state whether each word is accepted or rejected. w = 101010 v = 1010100 u...