1: How do hardness and completeness interact in the polynomial-time hierarchy?
2: How do you determine if a problem belongs to a higher complexity class like ΣkP?
3: What is the impact of alternating quantifiers in computational complexity?
4: What is the significance of interactive proofs with bounded communication in TOC?
5: What is the class BPL (Bounded-error probabilistic log-space), and how does it relate to L?
6: How does the class NL-complete differ from NL-hard in complexity theory?
7: What is the relationship between randomized algorithms and approximation algorithms?
8: What is the role of derandomization in complexity classes like RP and BPP?
9: How does the class co-RP differ from RP in probabilistic complexity?
10: What is the significance of logarithmic space in Turing machine computation?
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