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Probabilistically checkable proof

In computational complexity theory, a probabilistically checkable proof (PCP) is a type of proof that can be checked by a randomized algorithm using a bounded amount of randomness and reading a bounded number of bits of the proof. The algorithm is then required to accept correct proofs and reject incorrect proofs with very high probability. A standard…

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Probabilistically checkable proof

Nodes26
Edges25
Triples26
Avg. degree1.92
Density0.076923
Components1

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Probabilistically checkable proof

Top relations

related to history · 12
Probabilistically checkable proof → Arora, Babai, Fortnow, In, It, Lund, NEXP, NP, PCP, Safra, The, The PCP
related to Definition · 7
Probabilistically checkable proof → And, Completeness, For, Given, Soundness, The, Turing Machine
related to Properties · 7
Probabilistically checkable proof → By, For, From, NP, PCP, Turing, Without

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Important terminology

pcp proof proofs complexity probabilistically checkable randomness np log bits definition verifier computational alphabet polynomial time theory number class using

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SubjectPredicateObjectConfidenceSrc
Probabilistically checkable proofrelated to DefinitionGiven0.60section
Probabilistically checkable proofrelated to DefinitionAnd0.60section
Probabilistically checkable proofrelated to DefinitionTuring Machine0.60section
Probabilistically checkable proofrelated to DefinitionThe0.60section
Probabilistically checkable proofrelated to DefinitionCompleteness0.60section
Probabilistically checkable proofrelated to DefinitionFor0.60section
Probabilistically checkable proofrelated to DefinitionSoundness0.60section
Probabilistically checkable proofrelated to historyThe0.60section
Probabilistically checkable proofrelated to historyIt0.60section
Probabilistically checkable proofrelated to historyArora0.60section
Probabilistically checkable proofrelated to historySafra0.60section
Probabilistically checkable proofrelated to historyIn0.60section

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