Using JFLAP 7.1, give the state diagram (with no more than 6 states) for a Turing machine with one tape that recognizes the following language. A= {w€ {0, 1}* |w contains equal number of ones and zeros (in any order)}
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A: Answer:)
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A: We need to contruct turing machine. See below step.
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A: The required JFLAP Turing Machine is below:
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A: FOR SOLUTION SEE STEP NO. 2
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A: I have answered this question in step 2.
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A: Check the state diagram of a turing machine below :
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A: Subject:Theory of computation Give the state diagram (with no more than 6 states) for a Turing…
Q: Using JFLAP 7.1, give the state diagram (with no more than 6 states) for a Turing machine with one…
A: i have given a turing machine in step 2.
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- Here is a description of a Turing machine. The input alphabet is (a, b). The state set is: {90, 91, 92, 93, 94, 9acc, grej} The transition function is given in the table below: 9⁰ (9₁, a, R) b (92, b, R) (grej, *, R) 93 94 (qacc. a, R) (qrej, a, R) (arej, b, R) (qacc, b, R) (arej,*, R) (qrej, *, R) (a) Draw the configuration of the Turing machine after 3 steps on input "aabba". When the Turing machine is in the initial configuration, it has executed zero steps. a 91 (9₁, a, R) * 92 (92, a, R) (9₁, b, R) (93, *, L) (92, b, R) (94*, L) (b) For how many steps does the Turing machine run on input string "a" before the Turing machine halts? Does the Turing machine accept the string "a"? (c) Simulate the Turing machine on input "aaba". Does it accept? Draw the final two configurations of the Turing machine computation. In the last configuration, the Turing machine is either in the accept or reject state. (d) Simulate the Turing machine on input "aabb". Does it accept? Draw the final two…create a 2 tape Turing machine (use JFLAP) that has on tape 1 the alphabet of a,b,null, on tape 2 the alphabet is 0,1,2,3, null. Tape 1 has initial content of (a+b)*, Tape 2 has initial content of (0+1)* Begin by processing tape 1, if the substring aa is found on tape 1, search tape 2 for the first 00 substring and replace it with 22 if the substring bb is found on tape 1, search tape 2 for the first 11 substring and replace it with 33. If at anytime aa does not have a matching 00 reject if at anytime bb does not have a matching 11 reject else accept after all of tape 1 has been processed.The operation Perm(w), applied to a string w, is all strings that can be constructed by permuting the symbols of w in any order. For example, if w= 101, then Perm(w) is all strings with two l's and one 0, i.e., Perm(w) = {101, 110, 011). If L is a regular language, then Perm(L) is the union of Perm(w) taken over all w in L. For example, if L is the language L(0*1*), then Perm(L) is all strings of 0's and 1's, i.e., L((0+1)*). If L is regular, Perm(L) is sometimes regular, sometimes context-free but not regular, and sometimes not even context-free. Consider each of the following regular expressions R below, and decide whether Perm(L(R)) is regular, context- free, or neither: 1. (01)* 2.0*+1* 3. (012)* 4. (01+2)* a) Perm(L(0*+1*)) is context-free but not regular. O b) Perm(L((01+2)*)) is context-free but not regular. c) Perm(L((01+2)*)) is not context-free. O d) Perm(L((01)*)) is regular.
- of the form 1m0n1k, where m, n, k are odd. 3. Build a Finite Automaton to generate all string: of the form 1m0n1k, where m, n and k are greater than 0 and divisible by 3.write a computer program to implement the Prim’s algorithm for finding the Minimum Spanning Tree (MST) for given undirected graph G (V, E) with weights. Students can use: Python, Verify the correctness of your program by solving the problem of finding the MST for the following graph as explained in the class.Suppose that you want to implement an algorithm that will compete on a two-player deterministic game of perfect information. Your opponent is a supercomputer called DeepGreen. DeepGreen does not use Minimax. You are given a library function DeepGreenMove(S), that takes any state S as an argument, and returns the move that DeepGreen will choose for that state S (more precisely, DeepGreenMove (S) returns the state resulting from the opponent's move). Write an algorithm in pseudocode (following the style of the Minimax pseudocode) that will always make an optimal decision given the knowledge we have about DeepGreen. You are free to use the library function DeepGreenMove(S) in your pseudocode. What advantage would this algorithm have over Minimax? (if none, Justify).
- Write in Python a program that simulates a finite deterministic automaton that (only) recognizes the language Language O Unsigned real numbers Example: O = {.12345, 1.2345, 12345., 12345E0, .12345E-10, 1.2345e+1, etc.}Please do this in JAVA PROGRAMMING. Given: List L of pairs of charactersString SOutput: TRUE if S is a valid string, FALSE otherwise. A string is considered valid if each character in the string can be paired with another character in the string, where the pair belongs to the input list L. Furthermore, two pairs cannot cross each other. In other words, a pair most completely enclose another, or be completely separate. Design and implement an efficient dynamic programming solution to this problem. Examples: Input L: (a b) (b c) (c d) (a a) Input S: aaba Output: True (pairs shown color-coded: aaba, "aa" fully encloses "ab") Input L: (a b) (b c) (c d) (a a) Input S: abcaad Output: True (pairs shown color-coded: abcaad, "ab" is separate from the other pairs) Input L: (a b) (b c) (c d) (a a) Input S: acbd Output: False (acbd is not valid because the pairs cross each other.) Input L: (a b) (b c) (c d) (a a) Input S: aaac Output: FalseDraw a deterministic finite state automaton that accepts a language of all the words ending with "lly". The alphabet is the set of all letters of the English alphabet. Instructions: Do not draw automata by hand. Find a software for drawing automata (you can try JFlap) and submit a pdf of the drawing
- What happens in Example 9.10 if the string w contains any symbol other than 1?write a java program that outputs a walk, trail, path, closed walk, circuit, and cycle of a given directed graph matrix. That matrix is to be hard coded as such... There are 4 vertices in this directed graph. We know that because there are 4 rows and 4 columns. If there is a 1 that means that the vertex on the left (you need to name them) has an arrow edge towards the vertex on the top. If there is a 2 that means there are two directed edges in the same direction going from the left vertex to the vertex on the top. If there is a 0 that means there are no edges from the vertex on the left to the top vertex. 1 2 2 1 2 1 2 1 2 2 1 2 1 1 1 0 - Make sure to program the matrix in to your code. - Output an example of each, make sure they are labeled. (6 outputs ) Example of a directed graph matrix below. The red numbers around the matrix are the vertices. If there is a 0 it means there is no edge from the vertex on the right to the vertex on the top.Draw a deterministic finite automaton (DFA) that recognizes the language consisting of strings overthe alphabet {a,b} which contain either exactly two a's (which need not be consecutive) and anynumber of b's, or exactly two b's (which need not be consecutive) and any number of a's (and containsonly such strings.) Use JFLAP and submit the saved file.