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The Probabilistically Checkable Proof (PCP) theorem (Arora and Safra in J ACM 45(1):70–122, 1998; Arora et al. in J ACM 45(3):501–555, 1998) asserts the existence of proofs that can be verified by reading a very small part of the proof. Since the discovery of the theorem, there has been a considerable work on improving the theorem in terms of the length of the proofs, culminating in the construction...
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