After the following Deterministic Finite Automaton (DFA) has been minimized using Myphill-Nerode method, D A 1 1 The total number of states will be E B 1 1 F C 0, 1 and the initial state is and the final state is

Explain the difference between deterministic finite automaton and pushdown automaton

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 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.

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…

Note: answer already present in bartleby is incomplete and not explained. For God sake don't copy that!

DO NOT COPY FROM OTHER WEBSITES Q. Design a deterministic finite automaton for the given regular expression R. R = (0 + 1 (1 + 01) *00) *

Theory of computation

A deterministic finite automaton is defined by 5 components, it describes these, starting from the automaton shown, and it indicates what some chains reach the acceptance state and others that do not.

Write a nondeterministic finite automaton for a regular expression: ((b(abab)+)*|(a[ab]?)*) Apply the algorithm, to obtain the deterministic finite automaton.

for x= 0,1,2,4,5,6