• In computational complexity theory, a probabilistically checkable proof (PCP) is a type of proof that can be checked by a randomized algorithm using a...
    11 KB (1,252 words) - 08:57, 23 June 2025
  • every decision problem in the NP complexity class has probabilistically checkable proofs (proofs that can be checked by a randomized algorithm) of constant...
    17 KB (2,076 words) - 06:27, 5 June 2025
  • probabilistically checkable proof for problems in NP. A unique game can be viewed as a special kind of nonadaptive probabilistically checkable proof with...
    28 KB (3,066 words) - 07:53, 29 May 2025
  • cryptography Feige–Fiat–Shamir identification scheme Probabilistically checkable proof – Type of proof that can be checked by a randomized algorithm using...
    64 KB (7,976 words) - 00:29, 5 June 2025
  • central to the definition of probabilistically checkable proofs, as a probabilistically checkable proof is essentially a proof that can be verified by a...
    20 KB (2,454 words) - 06:45, 12 May 2025
  • Thumbnail for Clique problem
    a probabilistically checkable proof system for an NP-complete problem such as the Boolean satisfiability problem. In a probabilistically checkable proof...
    84 KB (9,905 words) - 20:49, 29 May 2025
  • Thumbnail for Dana Moshkovitz
    whose research topics include approximation algorithms and probabilistically checkable proofs. She is an associate professor of computer science at the...
    3 KB (193 words) - 16:36, 3 November 2024
  • Thumbnail for Madhu Sudan
    advancing the theory of probabilistically checkable proofs—a way to recast a mathematical proof in computer language for additional checks on its validity—and...
    7 KB (465 words) - 06:25, 31 May 2025
  • Platform Modules (TPMs), interactive proofs, probabilistically checkable proofs, efficient arguments, and Micali's CS proofs. These verifications are either...
    14 KB (1,887 words) - 03:39, 2 January 2024
  • Thumbnail for Mathematical proof
    A mathematical proof is a deductive argument for a mathematical statement, showing that the stated assumptions logically guarantee the conclusion. The...
    34 KB (4,229 words) - 11:05, 26 May 2025
  • relationship between the price of a call option and a put option Probabilistically checkable proof, a notion in the theory of computational complexity PCP theorem...
    4 KB (469 words) - 22:59, 13 April 2025
  • theory of probabilistically checkable proofs (PCP) and the PCP theorem, which gives stronger characterizations of the class NP, via a membership proof that...
    3 KB (178 words) - 00:10, 3 June 2025
  • from having it Probabilistically checkable proof, a proof that can be verified by making a small number of queries to the bits of the proof Quantum complexity...
    1 KB (244 words) - 06:18, 26 March 2025
  • proof system#MIP for more details. Another interactive proof system characterizing NEXPTIME is a certain class of probabilistically checkable proofs....
    8 KB (1,066 words) - 10:51, 23 April 2025
  • Thumbnail for List of complexity classes
    given an "advice string" depending only on the input size PCP Probabilistically Checkable Proof PH The union of the classes in the polynomial hierarchy PNP...
    8 KB (176 words) - 07:24, 19 June 2024
  • Proof of work (also written as proof-of-work, an abbreviated PoW) is a form of cryptographic proof in which one party (the prover) proves to others (the...
    37 KB (4,073 words) - 04:05, 16 June 2025
  • {\displaystyle q} . Locally testable codes have a lot in common with probabilistically checkable proofs (PCPs). This should be apparent from the similarities of their...
    11 KB (1,824 words) - 23:25, 9 January 2024
  • Thumbnail for Hadamard code
    computational complexity theory and particularly in the design of probabilistically checkable proofs. Since the relative distance of the Hadamard code is 1/2,...
    23 KB (3,844 words) - 18:53, 17 May 2025
  • Thumbnail for Irit Dinur
    computer science and in combinatorics, and especially in probabilistically checkable proofs and hardness of approximation. Irit Dinur earned her doctorate...
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  • Thumbnail for NP (complexity)
    solvable by probabilistically checkable proofs where the verifier uses O(log n) random bits and examines only a constant number of bits of the proof string...
    21 KB (2,784 words) - 09:34, 2 June 2025
  • properties make them particularly useful in the design of probabilistically checkable proofs. Traditional Reed–Muller codes are binary codes, which means...
    30 KB (5,030 words) - 23:25, 5 February 2025
  • Thumbnail for Luca Trevisan
    theoretical computer science, focusing on randomness, cryptography, probabilistically checkable proofs, approximation, property testing, spectral graph theory, and...
    5 KB (312 words) - 09:34, 25 September 2024
  • several areas of theoretical computer science, including probabilistically checkable proofs, non-approximability of optimization problems, and error-correcting...
    10 KB (598 words) - 21:02, 12 June 2025
  • algorithm Probabilistic Turing machine Stochastic programming Probabilistically checkable proof Box–Muller transform Metropolis algorithm Gibbs sampling Inverse...
    11 KB (1,000 words) - 14:07, 2 May 2024
  • Thumbnail for Ran Raz
    interactive proof systems. His two most-cited papers are Raz (1998) on multi-prover interactive proofs and Raz & Safra (1997) on probabilistically checkable proofs...
    5 KB (449 words) - 08:10, 3 May 2025
  • Thumbnail for Sanjeev Arora
    Massachusetts Institute of Technology PhD: UC Berkeley Known for Probabilistically checkable proofs PCP theorem Scientific career Fields Theoretical computer...
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  • priority queue prisoner's dilemma PRNG probabilistic algorithm probabilistically checkable proof probabilistic Turing machine probe sequence Procedure...
    35 KB (3,135 words) - 18:46, 6 May 2025
  • probabilistically checkable proofs. Locally decodable codes are error-correcting codes for which single bits of the message can be probabilistically recovered...
    40 KB (4,684 words) - 10:12, 6 June 2025
  • Thumbnail for Eli Ben-Sasson
    Tromer, Eran (2013-06-01). "On the concrete efficiency of probabilistically-checkable proofs". Proceedings of the forty-fifth annual ACM symposium on Theory...
    11 KB (1,150 words) - 16:30, 9 June 2025
  • Thumbnail for Oded Goldreich
    science in many areas including cryptography, randomness, probabilistically checkable proofs, inapproximability, property testing as well as complexity...
    15 KB (1,378 words) - 21:24, 13 June 2025