After the following Deterministic Finite Automaton (DFA) has been minimized using Myphill-Nerode method, 1 1 E IX B D A 1 The total number of states will be F C 0,1 and the initial state is and the final state is
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- Correct answer will be upvoted else downvoted. Computer science. in case there are two planes and a molecule is shot with rot age 3 (towards the right), the cycle is as per the following: (here, D(x) alludes to a solitary molecule with rot age x) the primary plane delivers a D(2) to the left and lets D(3) progress forward to the right; the subsequent plane delivers a D(2) to the left and lets D(3) progress forward to the right; the primary plane lets D(2) forge ahead to the left and creates a D(1) to the right; the subsequent plane lets D(1) progress forward to one side (D(1) can't create any duplicates). Altogether, the last multiset S of particles is {D(3),D(2),D(2),D(1)}. (See notes for visual clarification of this experiment.) Gaurang can't adapt up to the intricacy of the present circumstance when the number of planes is excessively huge. Help Gaurang find the size of the multiset S, given n and k. Since the size of the multiset can be extremely huge, you…a) Let M ({go, qı, q2, q3, q4, qs}, {a, b, c}, qo, fs, {q1,q3, qs}) be the Deterministic Finite Automaton (DFA) with state transition, f, is defined as in Table 2. Table 2 fs State a b 91 90 91 91 92 91 92 92 93 94 93 93 93 93 94 94 95 94 95 95 95 95 i. Draw the transition diagram for the machine, M. ii. Determine the final state for the input string bacc. Is the input string aabcba accepted by the DFA? Show the sequence of transition of each state for the input string. iv. State one input string that start and end with b and accepted by the DFA.Design a deterministic finite state automaton (DFA) that accepts exactly the strings over the alphabet {A, B, ...,Z} that contain at least two R, at most one T, and where every E comes after some S (there may be other letters in between). For instance, your DFA should accept the strings: • MYSTICWARRIORS • MARSMATRIX • SHOCKTROOPERS • CONTRAHARDCORPS STRIDER but not the strings • CRAZYTAXI (it does not contain at least two Rs) LASTRESORT (it contains more than one T) AFTERBURNER (there are Es without a S somewhere before them) • BATTLECIRCUIT (all of these at the same time) Clearly indicate the meaning of each state. One way to do this is to number the states and have a numbered list of their meanings, but any readable method you use to label and explain your states is fine. Hint: there are three separate conditions accepted strings must meet; states will need to encode whether or not each one is met (or perhaps partially met). You can label an edge with the word “else" to indicate it…
- 2. Give a non-deterministic finite automaton with 4 states which is equiv- alent to the DFA on Fig.1. alb b Start- SO s3 a alb a b a s12 $23 Figure 1: What was the original? a b s1 a s13Explain the difference between deterministic finite automaton and pushdown automatoncreate a Deterministic Finite Automaton (DFA) for the regular expression below: A ( (AB) | (AC) )* C
- construct a deterministic finite automaton that describes R=ab*a*1. Consider the following finite state automaton, A, over the alphabet {0, 1} of binary words:(i) What is the start state of the automaton A?(ii) What are the accepting states of the automaton A? (iii) Is the automaton A deterministic? Justify your answer.Design a deterministic finite-state automaton over the alphabet {a, b, c}that accepts words where each character is immediately followed by atleast one identical character. For example, it accepts the words λ, aa, aaa,aabbbbaacc, but it rejects the words a, baba, cbbba. Write the transitionfunction of the automaton as a table and draw the automaton in the formof a transition diagram. Try to design the simplest possible automaton,i.e., an automaton with the smallest number of states.
- The Harvard robotics club has organized a Robothon. n robots are placed alongthe edge of a circular area at the middle of the OAT(open air theatre). Each robot will move along arbitrary tracksinside the circle while leaving behind a heat signature along its trail. However, they have beenprogrammed not to cross their own trail or the trail of another robot, neither will they ever moveout of the circle. In case a pair of robots i and j meet at any point, they are removed from the sceneand the club will pay a reward sum of M[i, j] to the owners of these robots. Note that some robotscan keep moving infinitely without ever meeting another one. Given the reward matrix M whereM[i, j] = M[j, i], design a polynomial time algorithm that determines the maximum money theclub might potentially end up spending. For this particular problem, give a very brief justificationof the recurrence. Give pseudo-code for a dynamic program which solves the recurrence efficiently Youdo not need to prove…Consider the finite state machine M1 :descripted by following transition table ?Does machine M1 accept the string abaa Аcсept Reject * ?Does machine M1 accept the string aba Ассept Reject Answer about these questions: Input State a qo q0,q1 q1 q2 q1 q2 93 q3 93 q2Design a deterministic finite-state automaton over the alphabet {a; b; c}that accepts words where each character is immediately followed by atleast one identical character. For example, it accepts the wordsY(gamma sigh), aa, aaa,aabbbbaacc, but it rejects the words a, baba, cbbba. Write the transition function of the automaton as a table and draw the automaton in the form of a transition diagram. Try to design the simplest possible automaton, i.e., an automaton with the smallest number of states.