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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A potential method of analysis

The complexity of the algorithm model emphasizes the potential method. This method is useful for examining a data structure's amortized time and space complexity.