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te for the class of Turing-decidable langug

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

Present a language B such that B is complete for the class of Turing-decidable languges under ≤m reductions.

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2. Let A be a Turing-recognizable language consisting of descriptions of Turing machines, i.e., A = {(M1), (M2),...}, where every M; is a decider. Prove that some decidable language D is not decided by any decider M, whose description appears in A.
Let A be the language of binary strings of even length that are also palindromes. That is, A is a language over the alphabet S={0,1} and win A if and only if the length of w is even and w is equal to the reverse of w. Use the pumping lemma for regular languages to prove that A is not regular.
handwritten solution If a language L ⊆ Σ∗ is recognized by a FA, then there is an NFA M = (K,Σ,δ,s0,F) with |F|= 1 such that L = L(M).
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show your solution and proving.
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