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- Interactive_proof_system abstract "In computational complexity theory, an interactive proof system is an abstract machine that models computation as the exchange of messages between two parties. The parties, the verifier and the prover, interact by exchanging messages in order to ascertain whether a given string belongs to a language or not. The prover is all-powerful and possesses unlimited computational resources, but cannot be trusted, while the verifier has bounded computation power. Messages are sent between the verifier and prover until the verifier has an answer to the problem and has "convinced" itself that it is correct.All interactive proof systems have two requirements: Completeness: if the statement is true, the honest verifier (that is, one following the protocol properly) will be convinced of this fact by an honest prover. Soundness: if the statement is false, no prover, even if it doesn't follow the protocol, can convince the honest verifier that it is true, except with some small probability.It is assumed that the verifier is always honest.The specific nature of the system, and so the complexity class of languages it can recognize, depends on what sort of bounds are put on the verifier, as well as what abilities it is given — for example, most interactive proof systems depend critically on the verifier's ability to make random choices. It also depends on the nature of the messages exchanged — how many and what they can contain. Interactive proof systems have been found to have some important implications for traditional complexity classes defined using only one machine. The main complexity classes describing interactive proof systems are AM and IP.".
- Interactive_proof_system wikiPageExternalLink coam.
- Interactive_proof_system wikiPageExternalLink am.
- Interactive_proof_system wikiPageExternalLink amexp.
- Interactive_proof_system wikiPageExternalLink amicoam.
- Interactive_proof_system wikiPageExternalLink ampolylog.
- Interactive_proof_system wikiPageExternalLink bpnp.
- Interactive_proof_system wikiPageExternalLink compip.
- Interactive_proof_system wikiPageExternalLink frip.
- Interactive_proof_system wikiPageExternalLink ip.
- Interactive_proof_system wikiPageExternalLink ipp.
- Interactive_proof_system wikiPageExternalLink ma.
- Interactive_proof_system wikiPageExternalLink mae.
- Interactive_proof_system wikiPageExternalLink maexp.
- Interactive_proof_system wikiPageExternalLink maprime.
- Interactive_proof_system wikiPageExternalLink mip.
- Interactive_proof_system wikiPageExternalLink pcp.
- Interactive_proof_system wikiPageExternalLink qip.
- Interactive_proof_system wikiPageExternalLink qip2.
- Interactive_proof_system wikiPageExternalLink qma.
- Interactive_proof_system wikiPageExternalLink qma+.
- Interactive_proof_system wikiPageExternalLink qma2.
- Interactive_proof_system wikiPageExternalLink qmalog.
- Interactive_proof_system wikiPageExternalLink qmam.
- Interactive_proof_system wikiPageExternalLink l15-ip.pdf.
- Interactive_proof_system wikiPageExternalLink complexity.
- Interactive_proof_system wikiPageExternalLink merlin.
- Interactive_proof_system wikiPageID "160255".
- Interactive_proof_system wikiPageRevisionID "605950576".
- Interactive_proof_system hasPhotoCollection Interactive_proof_system.
- Interactive_proof_system subject Category:Computational_complexity_theory.
- Interactive_proof_system comment "In computational complexity theory, an interactive proof system is an abstract machine that models computation as the exchange of messages between two parties. The parties, the verifier and the prover, interact by exchanging messages in order to ascertain whether a given string belongs to a language or not. The prover is all-powerful and possesses unlimited computational resources, but cannot be trusted, while the verifier has bounded computation power.".
- Interactive_proof_system label "IP (clase de complejidad)".
- Interactive_proof_system label "Interactive proof system".
- Interactive_proof_system label "Interaktives Beweissystem".
- Interactive_proof_system label "Système de preuve interactive".
- Interactive_proof_system label "交互式证明系统".
- Interactive_proof_system label "対話型証明系".
- Interactive_proof_system sameAs Interaktives_Beweissystem.
- Interactive_proof_system sameAs IP_(clase_de_complejidad).
- Interactive_proof_system sameAs Système_de_preuve_interactive.
- Interactive_proof_system sameAs 対話型証明系.
- Interactive_proof_system sameAs m.0155cl.
- Interactive_proof_system sameAs Q1665886.
- Interactive_proof_system sameAs Q1665886.
- Interactive_proof_system wasDerivedFrom Interactive_proof_system?oldid=605950576.
- Interactive_proof_system isPrimaryTopicOf Interactive_proof_system.