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Computational hardness assumption

In computational complexity theory, a computational hardness assumption is the hypothesis that a particular problem cannot be solved efficiently (where efficiently typically means "in polynomial time"). It is not known how to prove (unconditional) hardness for essentially any useful problem. Instead, computer scientists rely on reductions to formally…

Art, Common cryptographic hardness assumptions & Non-cryptographic hardness assumptions

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Comparing hardness assumptions

Common cryptographic hardness assumptions

Non-cryptographic hardness assumptions

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Computational hardness assumption

Nodes86
Edges85
Triples34
Avg. degree1.98
Density0.023256
Components1

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Computational hardness assumption

Top relations

related to Average-case hardness assumptions · 9
Computational hardness assumption → Additionally, Another, Average-case, Erdős, Feige's Hypothesis, For, Rényi, SAT, Some
related to Exponential time hypothesis (ETH) and variants · 9
Computational hardness assumption → An, Boolean, ETH, NP, Omega, SAT, SETH, Such, The
related to C-hard problems · 6
Computational hardness assumption → If, Many, NP-hard, PPAD-hard, PSPACE-hard, This
related to Falsifiability · 3
Computational hardness assumption → In, Naor, Roughly
related to The 3SUM conjecture · 3
Computational hardness assumption → Given, There, This
is a · 1
Computational hardness assumption → hypothesis that a particular problem cannot be solved efficiently

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Important terminology

problem displaystyle assumption hardness computational assumptions cryptographic hard problems time given known security average-case worst-case log hypothesis particular stronger factorization

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Computational hardness assumptionis ahypothesis that a particular problem cannot be solved efficiently0.90text
RSAinstance ofMany more cryptosystems rely on stronger assumptions0.80text
residuosity problemsinstance ofMany more cryptosystems rely on stronger assumptions0.80text
and phi-hiding.RSA problemGiven a composite number ninstance ofMany more cryptosystems rely on stronger assumptions0.80text
Computational hardness assumptionrelated to Average-case hardness assumptionsSome0.60section
Computational hardness assumptionrelated to Average-case hardness assumptionsFor0.60section
Computational hardness assumptionrelated to Average-case hardness assumptionsErdős0.60section
Computational hardness assumptionrelated to Average-case hardness assumptionsRényi0.60section
Computational hardness assumptionrelated to Average-case hardness assumptionsAnother0.60section
Computational hardness assumptionrelated to Average-case hardness assumptionsFeige's Hypothesis0.60section
Computational hardness assumptionrelated to Average-case hardness assumptionsSAT0.60section
Computational hardness assumptionrelated to Average-case hardness assumptionsAverage-case0.60section

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