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PPP (complexity)

In computational complexity theory, the complexity class PPP (polynomial pigeonhole principle) is a subclass of TFNP. It is the class of search problems that can be shown to be total by an application of the pigeonhole principle. Christos Papadimitriou introduced it in the same paper that introduced PPAD and PPA. PPP contains both PPAD and PWPP…

Definition, Notable problems & Connection to cryptography

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Overview

Definition

Connection to cryptography

Relationship to PPAD

Notable problems

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Map overview Semantic statistics

PPP (complexity)

Nodes28
Edges27
Triples2
Avg. degree1.93
Density0.071429
Components1

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Important terminology Word statistics

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Important terminology

ppp problem pigeonhole displaystyle pigeon ppad problems class principle generalized polynomial-time circuit cryptographic complexity integer cryptography reduction output collision black-box

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
one-way permutationsinstance ofThese complexity classes are of particular interest in cryptography because they are strongly related to cryptographic primitives0.80text
collision-resistant hash functionsinstance ofThese complexity classes are of particular interest in cryptography because they are strongly related to cryptographic primitives0.80text

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