Question: For a cnf-formula with m variables and c clauses, show that you can construct in polynomial time an NFA with O(cm) states that accepts

For a cnf-formula ‑ with m variables and c clauses, show that you can construct in polynomial time an NFA with O(cm) states that accepts all nonsatisfying assignments, represented as Boolean strings of length m. Conclude that P ≠ NP implies that NFAs cannot be minimized in polynomial time.

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