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Electronic Colloquium on Computational Complexity

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Reports tagged with Probabilistically Checkable Proofs (PCP):
TR96-047 | 2nd September 1996
Oded Goldreich, Muli Safra

A Combinatorial Consistency Lemma with application to the PCP Theorem

Revisions: 1

The current proof of the PCP Theorem (i.e., NP=PCP(log,O(1)))
is very complicated.
One source of difficulty is the technically involved
analysis of low-degree tests.
Here, we refer to the difficulty of obtaining strong results
regarding low-degree tests; namely, results of the type obtained and
used by ... more >>>

TR05-014 | 30th January 2005
Oded Goldreich

Short Locally Testable Codes and Proofs (Survey)

We survey known results regarding locally testable codes
and locally testable proofs (known as PCPs),
with emphasis on the length of these constructs.
Locally testability refers to approximately testing
large objects based on a very small number of probes,
each retrieving a single bit in the ... more >>>

TR20-144 | 7th September 2020
Mohammad Jahanara, Sajin Koroth, Igor Shinkar

Toward Probabilistic Checking against Non-Signaling Strategies with Constant Locality

Non-signaling strategies are a generalization of quantum strategies that have been studied in physics over the past three decades. Recently, they have found applications in theoretical computer science, including to proving inapproximability results for linear programming and to constructing protocols for delegating computation. A central tool for these applications is ... more >>>

ISSN 1433-8092 | Imprint