Assignment 6: Problem Set on TMs.1. Given the following definition of a Turing machine M = (Q, E, I, 6, 91, accept, Greject):• Q={91, 92,98, Jaccept, greject}« Σ = {0, 1, #}• T = EU {z, u}0-0, R1-1,R## .R0-2,R90-2, L9:970-0, L1-1, L#-#.R1-2, R9s3. Prove that every regular language is decidable.##.R91-3, L0-0, R1-1, R0-0, L1-1,4z-z, RSimulate the Turing machine on input (a) 010#1 and (b) 1#1.Use the concept of configurations to illustrate the transitions.z-z.RGarapeNote: To simplify the figure, the reject state and transitions going to the reject state are not shown.Those transitions occur implicitly whenever a state lacks an outgoing transition for a particularsymbol.R2. Let A be the set of all strings over the alphabet (a, b) where the number of a's is twice as muchas the number of b's. Construct the state diagram of a Turing machine that recognizes A.

A Turing machine which refers to an abstract computational model which are that used to performs…

1. Given the following definition of a Turing machine M = (Q, E, I, 6, 9₁, 9accept, Greject): Q-91-9298- Jaccept-greject} Σ= {0, 1, #} • I = EU {z, u} . 8: 0-0, R 1-1,R 2-2, R 0-2,R 9 R z-2, R #-#.L 1-z,R 0-0,4 1-1,L 1-2, L 0-0, L 1-1,4 2-2, L 0-0, R 1-1,R #.R z-z.R Simulate the Turing machine on input (a) 010#1 and (b) 1# 1. Use the concept of configurations to illustrate the transitions. Garape Note: To simplify the figure, the reject state and transitions going to the reject state are not shown. Those transitions occur implicitly whenever a state lacks an outgoing transition for a particular symbol.

1. Given the following definition of a Turing machine M = (Q, E, I, 6, 9₁, 9accept, Greject): Q-91-9298- Jaccept-greject} Σ= {0, 1, #} • I = EU {z, u} . 8: 0-0, R 1-1,R 2-2, R 0-2,R 9 R z-2, R #-#.L 1-z,R 0-0,4 1-1,L 1-2, L 0-0, L 1-1,4 2-2, L 0-0, R 1-1,R #.R z-z.R Simulate the Turing machine on input (a) 010#1 and (b) 1# 1. Use the concept of configurations to illustrate the transitions. Garape Note: To simplify the figure, the reject state and transitions going to the reject state are not shown. Those transitions occur implicitly whenever a state lacks an outgoing transition for a particular symbol.

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

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Concept explainers

Problems on Turing Machines

In the computational world, the Turing machine is a powerful computation engine. The invention of the Turing Machine is done by Alan Turing in 1936. A Turing Machine (TM) is a diagrammatic model of a fictional computer. It determines an output from a set of input variables using a pre-defined set of rules. It is used to get around the limitations of finite automata and pushdown automata.

Question

Assignment 6: Problem Set on TMs.
1. Given the following definition of a Turing machine M = (Q, E, I, 6, 91, accept, Greject):
• Q={91, 92,
98, Jaccept, greject}
« Σ = {0, 1, #}
• T = EU {z, u}
0-0, R
1-1,R
## .R
0-2,R
9
0-2, L
9:
97
0-0, L
1-1, L
#-#.R
1-2, R
9s
3. Prove that every regular language is decidable.
##.R
9
1-3, L
0-0, R
1-1, R
0-0, L
1-1,4
z-z, R
Simulate the Turing machine on input (a) 010#1 and (b) 1#1.
Use the concept of configurations to illustrate the transitions.
z-z.R
Garape
Note: To simplify the figure, the reject state and transitions going to the reject state are not shown.
Those transitions occur implicitly whenever a state lacks an outgoing transition for a particular
symbol.
R
2. Let A be the set of all strings over the alphabet (a, b) where the number of a's is twice as much
as the number of b's. Construct the state diagram of a Turing machine that recognizes A.

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