Question 3  Prove each language over {0,1} is undecidable using a reduction with A_TM = { < M, w > | w is an element of {0,1}*, M is a Turing machine, M accepts w }: a) L = { < M, k >, k > 2 | M visits at least k different states when given the empty string as input } b) L = { < M > | M halts on exactly 2 string inputs }

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
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Question 3 

Prove each language over {0,1} is undecidable using a reduction with A_TM = { < M, w > | w is an element of {0,1}*, M is a Turing machine, M accepts w }:

a) L = { < M, k >, k > 2 | M visits at least k different states when given the empty string as input }

b) L = { < M > | M halts on exactly 2 string inputs } 

Please solve all parts and Full explain this question and text typing work only thanks.      

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