Let Σ = {0, 1}. We define the language L5−8={⟨A⟩∣A is a deterministic finite automaton and 5≤∣L(A)∣≤8}L_{5-8} = \{ \langle A \rangle \mid A \text{ is a deterministic finite automaton and } 5 \leq |L(A)| \leq 8 \}L5−8​={⟨A⟩∣A is a deterministic finite automaton and 5≤∣L(A)∣≤8} Prove that L5−8L_{5-8}L5−8​ is a decidable 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}. We define the language

L5−8={⟨A⟩∣A is a deterministic finite automaton and 5≤∣L(A)∣≤8}L_{5-8} = \{ \langle A \rangle \mid A \text{ is a deterministic finite automaton and } 5 \leq |L(A)| \leq 8 \}L5−8​={⟨A⟩∣A is a deterministic finite automaton and 5≤∣L(A)∣≤8}

Prove that L5−8L_{5-8}L5−8​ is a decidable language

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