Circuit lower bounds for nondeterministic quasi-polytime: an easy witness lemma for NP and NQP

We prove that if every problem in NP has nk-size circuits for a fixed constant k, then for every NP-verifier and every yes-instance x of length n for that verifier, the verifier’s search space has an nO(k3)size witness circuit: a witness for x that can be encoded with a circuit of only nO(k3) size....

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Bibliographic Details
Main Authors: Murray, Cody (Cody Daniel), Williams, R Ryan
Other Authors: Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory
Format: Article
Language:English
Published: Association for Computing Machinery (ACM) 2021
Online Access:https://hdl.handle.net/1721.1/130542