feat(complexity): define verifier NP foundations - #77
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What does this change?
Defines verifier-based
NPfor binary decision problems and records the precise departure from Arora and Barak, Computational Complexity: A Modern Approach, Definition 2.1: witnesses use an at-most monomial bound while the complete canonical instance-witness encoding is charged to the verifier machine.Also extracts a positive exponent and fixed coefficient from any natural-coefficient polynomial clock, with a proved pointwise monomial bound. This is stack layer 1 of 8.
How was it tested?
lake build --wfailpasseslake lintpassessorryor new axioms, or this PR does not change Lean proofs