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Read the caselet below and answer questions which follow:
Assume there is need to encryptpasswords using the Zn-Algorithm. The Zn-Algorithm takes an alphanumeric password and coverts it into a binary digit. The alphanumeric password must start with any letter from the alphabet A= {a-z} and must have exactly one digit from the alphabet D = {0-9}. The password must end with at least two characters from A. A password is encrypted by converting any consonant (C) character into a binary digit 0, any vowel (V) into a binary digit 1 and the digit into 2 in binary. For example if the input tap has a password ret7ure, it must output or write 01010101 on the tap after encryption.
Required
i. Construct a Turing machine which encrypts passwords using the Zn algorithm. Describe how the machine works. ii. Design a DFA which accepts valid encrypted passwords.iii. Design a PDA which accepts valid encrypted passwords. iv. Give the grammar in Chomsky Normal Form which generates valid encrypted passwords. v. Does your grammar allow LL(1) parsing? Why? Or Why Not?
Find finite-state automata that recognize these sets of strings of 0s and 1s.
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Construct a TM that recognizes the non-CFL language L = {wcw | w is in (0+1)*} and halts on all inputs. Please briefly explain the purpose of each state of your machine. So, for example the string 1110c1110 IS in L but the string 0010c0110 is NOT.
Can the vertices of a simple graph G be colored using three colors so that no two adjacent vertices are the same color?
Construct a DFA that recognizes each of the following languages. Unless otherwise noted we are assuming that ω ∈ {0,1}*. (A drawing of a state diagram is sufficient.)
Is the given grammar left or right recursive - describe these in detail because I am having a hard time trying to figure this all out.
CS 5700 Computability, Automata, and Formal Languages Assignment, University of Colorado Colorado Springs, USA. What is the GNFA that results from ripping state
Design a DFA to recognize L and write a program that implements your DFA - you should check the ASCII code of each character of the string and process on the DFA accordingly.
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