Let Σ = {0, 1}, and let L10101 ⊆ Σ∗ be a language of exactly all the strings that contain the substring ‘10101’. Define the language J10101 = { ⟨M⟩ | M is a deterministic Turing machine, and L(M) = L10101 } . Show that J10101 is an undecidable language.

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
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Let Σ = {0, 1}, and let L10101 ⊆ Σ be a language of exactly all the strings that contain the substring ‘10101’. Define the language

J10101 = { ⟨M⟩ | M is a deterministic Turing machine, and L(M) = L10101 } .

Show that J10101 is an undecidable language.

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