1. Let M be the Turing machine defined by Q = {90, 91, 92, 93, 94, 95, 96, 97} r = {a, b, c, X, Y, Z} 8: 8 B a b qo 91,B,R - 91 92,a,R 92 93,X,R 97,b,R - 93 93,a,R 94,b,R - 94 94,b,R 95,Y,R 95 - 96,Y, L 96 96,a,L 96,b,L 92,X,R 97 98,B,L 97,b,R 98 a) Give the state diagram of M. b) Trace the computation for the input strings aabcc and abbc. c) Give a set-theoretic definition for the language accepted by M. d) Give TWO (2) other strings (beside in (b))) that will be accepted by M. Σ = {a, b, c} ◊=B C - X - qo= qo F = {98} Y - 94,Y,R 96,Y, L 97,Y,R Z

1. Let M be the Turing machine defined by Q = {90, 91, 92, 93, 94, 95, 96, 97} r = {a, b, c, X, Y, Z} 8: 8 B a b qo 91,B,R - 91 92,a,R 92 93,X,R 97,b,R - 93 93,a,R 94,b,R - 94 94,b,R 95,Y,R 95 - 96,Y, L 96 96,a,L 96,b,L 92,X,R 97 98,B,L 97,b,R 98 a) Give the state diagram of M. b) Trace the computation for the input strings aabcc and abbc. c) Give a set-theoretic definition for the language accepted by M. d) Give TWO (2) other strings (beside in (b))) that will be accepted by M. Σ = {a, b, c} ◊=B C - X - qo= qo F = {98} Y - 94,Y,R 96,Y, L 97,Y,R Z

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

See similar textbooks

Similar questions

10 Consider a Turing machine that cannot write blanks; that is, for all λ(qi, a) = (qj, b, L or R), b must be in Γ- {□}. Show how such a machine can simulate a standard Turing machine.
Let T be the Turing machine defined by the following 5-tuples:(s0, 0, s1, 0, L)(s0, 1, s1, 0, L)(s1, 0, s2, 1, R)(s1, 1, s1, 1, R)(s0, B, s1, 1, R)(s1, B, s2, 0, R)(s2, 0, s3, 1, R)(s3, 1, s3, 1, R)(s3, 0, s4, 0, R)For the following tape, determine the intermediate tapes, states, and head positions; and final tape, state, and head position when T halts. Assume T begins in the initial position.states0 | B | B | 1 | 0 | 0 | B | B | B |
Suppose we make the restriction that a Turing machine must always write a symbol different from the one it reads, that is, if δ(qi; a) = (qj ; b; L or R), then a and b must be different. Does this limitation reduce the power of the automaton? Explain.
Suppose a genetic algorithm uses chromosomes of the form x = abcdefghwith a fixed length of eight genes. Each gene can be any digit between 0 and 9. Let the fitness of individual x be calculated as: ?(?)=(?+?)−(?+?)−(?+?)−(?+ℎ) And let the population consist of fiveindividuals with the following chromosomes: ?1=12345678 ?2=23456781 ?3=45637281 ?4=53617284 ?5=23921285 a)Computethe fitness value for each individual and sort them in order with the fittest first and the least fit last. b)To create mating pool, roulette wheel selection is used. You will select the individuals. The random values to perform roulette wheel selection are 0.15, 0.56, 0.50, 0.68, and 0.95respectively. Please construct the mating pool step by step and write the selected individuals clearly. c)Perform thefollowing crossover operations in the mating pool: i)Cross the fittest two individuals using one–point crossover at the middle point. ii)Cross the second and third fittest individuals using a two–point crossover…
Consider L={(TM) | TM stands for the Turing machine, which halts on all input, and L(TM)= L' for some undecidable language L'}. The encoding of a Turing machine as a string over the alphabet 0-1 is (TM), and L is? decidable and recursively enumerable decidable and recursive decidable and non-recursive undecidable and recursively enumerable
Construct a Turing machine that takes strings over the alphabet {a,b} on the tape, and moves the whole string over to the right one cell position. When you're done, the tape should essentially look the same (since it's infinite on both ends…) but you will know (and people who look at your code will know) that in fact you moved the string over by one space to the right. After moving the string over, the turing machine should move to the left-most cell in the string and than go to the HALT state.
The language for coding must be in python Neural Network Units Implement a single sigmoid neural network unit with weights of [-1.2, -1.1, 3.3, -2.1] Calculate the outputs for two training examples:Example 1: [0.9, 10.0, 3.1, 1]Example 2: [0.9, 2.1, 3.7, 1] Note that you don't have to explicitly include a threshold or bias since the examples include a last element of 1 which means that the last weight effectively operates as a threshold. Assuming that a sigmoid unit response >0.5 denotes a positive class and <0.5 is negative class, is example 1 positive or negative? is example 2 positive or negative? Create a single ReLU unit and provide the outputs for those examples. Calculate the derivative of the sigmoid with respect to net input for both examples Calculate the derivative of the ReLU with respect to net input for both examples
Modeling the spread of a virus like COVID-19 using recursion. Let N = total population (assumed constant, disregarding deaths, births, immigration, and emigration). S n = number who are susceptible to the disease at time n (n is in weeks). I n = number who are infected (and contagious) at time n. R n = number who are recovered (and not contagiuous) at time n. The total population is divided between these three groups: N = S n + I n + R n There are several hidden assumptions here that may or may not apply to COVID-19, such as a recovered person is assumed to not be able to get the disease a second time, at least within the time window being examined. On week 0 (the start), you assume a certain small number of people have the infection (just to get things going). Everyone else is initially susceptible, and no one is recovered. There are two constants of interest: Let period = time period that it takes for an infected person to recover (recover meaning they become not infectious to…
Suppose a Genetic Algorithm uses chromosomes of the form x=abcdef with a fixed length of six genes.Each gene can be any digit between 0 and 9 . Let the fitness of individual x be calculated as : f(x) =(a+b)-(c+d)-(e+f) And let the initial population consist of four individuals x1, ... ,x4 with the following chromosomes : x1 = 3 5 3 2 6 5, x2 = 9 8 0 1 2 2, x3 = 1 2 2 1 2 3, x4 = 7 9 2 3 1 1 1. 1.Evaluate the fitness of each individual, showing all your workings, and arrange them in order with the fittest first and the least fit last. 2. calculate the average fitness. 3. Perform the following crossover operations:a- Cross the fittest two individuals using one point crossover at the middle point.b- Cross the second and third fittest individuals using a two point crossover (points b and e). Suppose the new population consists of the four offspring individuals received by the crossover operations in the above question. Evaluate the fitness of the new population, showing all your…
Create a Turing Machine where the alphabet is { a b c } and L be the language of all words in which all the a's come before the b's and there are the same number of a's as b's and arbitrarily many c's that can be in front, behind, or among the a's and b's. These strings should be accepted ab abc acb cab cacbc caaccbcb caabcb ccacaabcccbccbc These strings should be rejected a b c ba bab abab abbab bbbbaab bbbbbbbbb aaaabbbbb aaabbbbaaabbbb handwritten digaram
Create a Turing Machine where the alphabet is { a b c } and L be the language of all words in which all the a's come before the b's and there are the same number of a's as b's and arbitrarily many c's that can be in front, behind, or among the a's and b's. These strings should be accepted ab abc acb cab cacbc caaccbcb caabcb ccacaabcccbccbc These strings should be rejected a b c ba bab abab abbab bbbbaab bbbbbbbbb aaaabbbbb aaabbbbaaabbbb Handwroitten weill work.
1-Give a precise (mathematical) definition of a Turing machine (TM) and how its parts work together to solve problems. Perhaps, not surprisingly (maybe surprisingly ?), this most powerful machine envisioned is also the most simple known. (Other methods of computation have been developed, but each has been shown to be equivalent inexpressible power as Turing machines). What does this statement mean? 2- Describe a problem that cannot be solved by a TM. What does Undecidability 3-Is there a pumping lemma for Turing machines? if so, what is it? if not, why not?