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Design a Turing machine with no more than three states that accepts the language L (a (a + b)∗). Assume that Σ = {a, b}. Is it possible to do this with a two-state machine?

Principles of Information Systems (MindTap Course List)

12th Edition

ISBN:9781285867168

Author:Ralph Stair, George Reynolds

Publisher:Ralph Stair, George Reynolds

Chapter11: Knowledge Management And Specialized Information Systems

Section: Chapter Questions

Problem 5SAT

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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

Design a Turing machine with no more than three states that accepts the
language
L (a (a + b)∗).
Assume that Σ = {a, b}. Is it possible to do this with a two-state machine?

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