1: How do fixed-parameter tractability and kernelization relate to complexity classes?
2: What is the role of W-hierarchy in parameterized complexity theory?
3: How do you define a problem as fixed-parameter tractable (FPT)?
4: What is the significance of kernelization in parameterized complexity?
5: How do approximation algorithms handle NP-hard problems in TOC?
6: What is the importance of gap problems in complexity theory?
7: How does the class AM (Arthur-Merlin) extend interactive proofs?
8: What is the significance of space complexity classes like L and NL?
9: What is the importance of log-space transducers in complexity theory?
10: How does the polynomial-time hierarchy affect computational problem classification?
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