1: How do completeness and approximation interact in NP-hard problems?
2: What is the significance of interactive proofs in higher complexity classes?
3: How does space complexity affect deterministic and non-deterministic Turing machines?
4: What is the role of deterministic algorithms in space-bounded computation?
5: How does alternating Turing machine computation differ from non-deterministic computation?
6: What is the impact of oracle machines on complexity theory?
7: How does the complexity of quantum algorithms compare to classical algorithms?
8: How does non-uniformity affect the complexity classes like P/poly?
9: What is the role of communication complexity in distributed algorithms?
10: What are the closure properties of quantum complexity classes like BQP?
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