Let = {0, 1} and consider the following languages 1. LBOUNDED = {(M, x) : M is a TM, x € Σ*, M never moves its pointer more than |x| tape symbols away from the left endmarker |} 2. LDEC = {(M): M is a TM, L(M) is decidable} For each language, determine whether it is decidable or undecidable. If it is decidable, give a decision procedure which decides it. If it is undecidable, you must use Rice's theorem, if applicable, or a mapping reduction, otherwise. [Hint: Given some input string x, you may assume that the number of possible instantaneous configurations of a TM where the pointer never moves more than |x| tape symbols away from the left endmarker is at most |T||*|. (²[+¹). (12¹).]

Let = {0, 1} and consider the following languages 1. LBOUNDED = {(M, x) : M is a TM, x € Σ, M never moves its pointer more than |x| tape symbols away from the left endmarker |} 2. LDEC = {(M): M is a TM, L(M) is decidable} For each language, determine whether it is decidable or undecidable. If it is decidable, give a decision procedure which decides it. If it is undecidable, you must use Rice's theorem, if applicable, or a mapping reduction, otherwise. [Hint: Given some input string x, you may assume that the number of possible instantaneous configurations of a TM where the pointer never moves more than |x| tape symbols away from the left endmarker is at most |T|||. (²[+¹). (12¹).]

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

Bare bones programming language

Bare bones programming language is a low-level programming language that gives a detailed stepwise description of a program. It has a tight program design and in-depth understanding of the toolchain. It is based on the target environment and is used for safe coding practices. C programming language is a type of bare bones programming language.

Question

Let = {0, 1} and consider the following languages
1. LBOUNDED = {(M, x) : M is a TM, x € Σ*, M never moves its pointer more than |x| tape
symbols away from the left endmarker |}
2. LDEC = {(M): M is a TM, L(M) is decidable}
For each language, determine whether it is decidable or undecidable. If it is decidable, give a decision
procedure which decides it. If it is undecidable, you must use Rice's theorem, if applicable, or a
mapping reduction, otherwise. [Hint: Given some input string x, you may assume that the number
of possible instantaneous configurations of a TM where the pointer never moves more than |x| tape
symbols away from the left endmarker is at most |T||*|. (²[+¹). (¹).]

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