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Proving validity without revealing other data
a zero-knowledge proof, should nonetheless remain unable to prove the statement to further third parties. Zero-knowledge proofs can be interactive, meaning
Zero-knowledge_proof
Cryptographic primitive
Non-interactive zero-knowledge proofs are cryptographic primitives, where information between a prover and a verifier can be authenticated by the prover
Non-interactive zero-knowledge proof
Non-interactive_zero-knowledge_proof
Topics referred to by the same term
Absolute zero 0K, an abbreviation for Zero knowledge in cryptology Zero-knowledge proof Non-interactive zero-knowledge proof Zero-knowledge password proof 0K
0K
Israeli software company
Israeli software company that specializes in cryptography. It develops zero-knowledge proof technology that compresses information to address the scalability
StarkWare_Industries
Cryptographic technique
public-coin interactive proof of knowledge into a non-interactive proof of knowledge. If the interactive proof is used as an identification tool, then the non-interactive
Fiat–Shamir_heuristic
Topics referred to by the same term
Zero knowledge may mean: Zero-knowledge proof, a concept from cryptography, an interactive method for one party to prove to another that a (usually mathematical)
Zero_knowledge
Abstract machine that models computation
In computational complexity theory, an interactive proof system is an abstract machine that models computation as the exchange of messages between two
Interactive_proof_system
Cryptocurrency aimed at privacy
privacy-focused cryptocurrency which features an encrypted ledger using zero-knowledge proofs. Launched in October 2016, Zcash was developed by cryptographers
Zcash
together with the Zero-knowledge proofs (using for example Schnorr non-interactive zero-knowledge proof as specified in RFC 8235) for the proof of the exponents
Password Authenticated Key Exchange by Juggling
Password_Authenticated_Key_Exchange_by_Juggling
Venezuelan computer scientist
Williams. List of Venezuelans Graph isomorphism problem Non-interactive zero-knowledge proof Quantum coin flipping Pancake sorting Manuel Blum at the
Manuel_Blum
Class of interactive proof
In cryptography, a proof of knowledge is an interactive proof in which the prover succeeds in 'convincing' a verifier that the prover knows something.
Proof_of_knowledge
Topics referred to by the same term
Coffee, a brand of coffee drink Bulletproof, type of non-interactive zero-knowledge proof Bulletproof hosting, a euphemism for Internet hosting services that
Bulletproof_(disambiguation)
American computer scientist
knowledge complexity of interactive proof systems", SIAM Journal on Computing, 18, 1989, pp. 186–208. C. Rackoff and D. Simon, "Non-interactive zero-knowledge
Charles_Rackoff
American cryptographer (born 1974)
with Jens Groth, "Efficient Non-interactive Proof Systems for Bilinear Groups," introduced a new type of non-interactive proof system offering improved efficiency
Amit_Sahai
Chinese-American cryptographer
cryptography includes work on indistinguishability obfuscation and non-interactive zero-knowledge proofs. She is an associate professor and Paul G. Allen Career
Huijia_(Rachel)_Lin
Public-key cryptographic pseudorandom function
that VRFs exist if non-interactive witness-indistinguishable proofs (that is, weaker versions of non-interactive zero-knowledge proofs for NP problems that
Verifiable_random_function
Basic cryptographic algorithm used to build cryptographic protocols
secure pseudorandom number generator Non-interactive zero-knowledge proof Conditional disclosure of secrets—allows two non-communicating parties to coordinate
Cryptographic_primitive
parameters model. The CRS model has applications in the study of non-interactive zero-knowledge proofs and universal composability. Ran Canetti and Marc Fischlin;
Common_reference_string_model
Situation where total gains match total losses
which the interacting parties' aggregate gains and losses can be more than zero. Prisoner's Dilemma is a classic non-zero-sum game. The zero-sum property
Zero-sum_game
Topics referred to by the same term
number theory zk-STARK (zero-knowledge Scalable Transparent Argument of Knowledge), a protocol in non-interactive zero-knowledge proofs in cryptography This
Stark
Italian-American computer scientist (born 1954)
secure multiparty computation, and is one of the co-inventors of zero-knowledge proofs. While a graduate student, Micali collaborated with another student
Silvio_Micali
Cryptographic protocol
\scriptstyle x_{i}} . Such proofs may be realized by using Schnorr non-interactive zero-knowledge proofs as described in RFC 8235. After this round, each participant
Open_vote_network
Model of computation
probability distribution. These models are often used for non-interactive zero-knowledge proofs (NIZK). In some applications, such as the Dolev–Dwork–Naor
Standard_model_(cryptography)
Event in cryptography
parts of keys to participants securely. It is also used in non-interactive zero-knowledge proof (zKP) protocols, specifically first generation zk-SNARK,
Key_ceremony
one publishes the Zerocoin's serial number along with a non-interactive zero-knowledge proof that they know of some published commitment that relates
Accumulator_(cryptography)
Cryptography researcher
paper, On the size of pairing-based non-interactive arguments, described a succinct, noninteractive zero-knowledge proof scheme based on pairings, commonly
Jens_Groth
Technologies to minimize personal data use and maximize data security
inputs while keeping those inputs private. Non-interactive zero-knowledge proof (NIZKs) are zero-knowledge proofs that require no interaction between the
Privacy-enhancing technologies
Privacy-enhancing_technologies
Computational hardness assumption
attribute-based encryption scheme, and a special class of non-interactive zero-knowledge proofs. Dan Boneh, Xavier Boyen, Hovav Shacham: Short Group Signatures
Decision_Linear_assumption
together with a zero-knowledge proof (using for example Schnorr non-interactive zero-knowledge proof as described in RFC 8235) for the proof of the exponent
YAK_(cryptography)
Cryptocurrency
Pedersen commitments and proven in a legitimate range with non-interactive zero-knowledge proofs.[non-primary source needed] Much of MobileCoin's technology
MobileCoin
Cryptographic scheme
number of cryptographic protocols including secure coin flipping, zero-knowledge proofs, and secure computation. A way to visualize a commitment scheme
Commitment_scheme
introduced to build a 2-DNF homomorphic encryption scheme. Non-interactive zero-knowledge proof Dan Boneh, Eu-Jin Goh, Kobbi Nissim: Evaluating 2-DNF Formulas
Sub-group_hiding
Progression-free set of numbers
matrix multiplication, and in the construction of efficient non-interactive zero-knowledge proofs. Recently, they have been used to show size lower bounds
Salem–Spencer_set
Placeholder characters
the genders are alternated: Alice, Bob, Carol, Dave, Eve, etc. For interactive proof systems there are other characters: The names Alice and Bob are often
Alice_and_Bob
Type of cryptographic software obfuscation
Perfectly zero-knowledge non-interactive zero-knowledge proofs and succinct non-interactive arguments Constant-round concurrent zero-knowledge protocols
Indistinguishability obfuscation
Indistinguishability_obfuscation
Mathematical models of strategic interactions
mixed-strategy equilibria in two-person zero-sum games and its proof by John von Neumann. Von Neumann's original proof used the Brouwer fixed-point theorem
Game_theory
Interactive proof system in computational complexity theory
theory, an Arthur–Merlin protocol, introduced by Babai (1985), is an interactive proof system in which the verifier's coin tosses are constrained to be public
Arthur–Merlin_protocol
Privacy protocol
utilizes succinct non-interactive zero-knowledge arguments of knowledge (also known as zk-SNARKs), a special kind of zero-knowledge method for proving
Zerocoin_protocol
British cryptographer and cypherpunk (born 1970)
the "non-interactive forward secrecy" security property for email and to observe that any identity-based encryption scheme can be used to provide non-interactive
Adam_Back
(TPMs), interactive proofs, probabilistically checkable proofs, efficient arguments, and Micali's CS proofs. These verifications are either interactive which
Verifiable_computing
On triangles inscribed in a circle with a diameter as an edge
astronomy and thence brought their knowledge to the Greeks, along the way inventing the concept of geometric proof and proving various geometric theorems
Thales's_theorem
American computer scientist (born 1963)
scientist known for major results in computational complexity and interactive proof systems. Since 2019, he has been at the Illinois Institute of Technology
Lance_Fortnow
Complexity class from interactive proofs
theory, the class IP (which stands for interactive proof) is the class of problems solvable by an interactive proof system. It is equal to the class PSPACE
IP_(complexity)
2017 video game
Horizon Zero Dawn is a 2017 action role-playing game developed by Guerrilla Games and published by Sony Interactive Entertainment. The first instalment
Horizon_Zero_Dawn
Philosophical question
into the nature and reach of human knowledge, ending in the conclusion that the existence of God is incapable of proof, cease to believe in it on the ground
Existence_of_God
Topics referred to by the same term
computer program zk-SNARK, zero-knowledge Succinct Non-interactive ARgument of Knowledge, a cryptographic tool for producing short proofs of statements without
Snark
Sufficiency theorem for reconstructing signals from samples
Shannon theorem. Learning by Simulations Interactive simulation of the effects of inadequate sampling Interactive presentation of the sampling and reconstruction
Nyquist–Shannon sampling theorem
Nyquist–Shannon_sampling_theorem
Theoretical computer scientist
2013, he, Robert J. Goldston, and Alexander Glaser worked to design a "zero-knowledge" system to verify that warheads designated for disarmament are actually
Boaz_Barak
Proof all ranked voting rules have spoilers
impossibility theorem" entry in the Stanford Encyclopedia of Philosophy A proof by Terence Tao, assuming a much stronger version of non-dictatorship
Arrow's_impossibility_theorem
Open-source blockchain computing platform
are different types of L2 chains, including optimistic rollups and zero-knowledge rollups (zk rollups). Depending on their individual technical details
Ethereum
adversary was introduced by Goldreich, Micali and Wigderson by applying Zero-Knowledge Proof to enforce semi-honest behavior. This approach was known to be impractical
Secure_two-party_computation
Framework for studying interactive computational tasks through logic
Church–Turing thesis to the interactive level. The classical concept of truth turns out to be a special, zero-interactivity-degree case of computability
Computability_logic
Mathematical model of the physical space
system Hilbert's axioms Incidence geometry List of interactive geometry software Metric space Non-Euclidean geometry Ordered geometry Parallel postulate
Euclidean_geometry
Process of reasoning backwards in sequence
of game theory. John von Neumann and Oskar Morgenstern suggested solving zero-sum, two-person formal games through this method in their Theory of Games
Backward_induction
Concept in game theory
A non-credible threat is a term used in game theory and economics to describe a threat in a sequential game that a rational player would not actually
Non-credible_threat
Standard example in game theory
central focus of the 2012 video game Zero Escape: Virtue's Last Reward and a minor part in its 2016 sequel Zero Escape: Zero Time Dilemma. In The Mysterious
Prisoner's_dilemma
Game theory concept
information relevant to the game, meaning that the payoffs are not common knowledge. Bayesian games model the outcome of player interactions using aspects
Bayesian_game
Set of problems in computational complexity theory
classes defined using interactive proof systems include MIP (multiprover interactive polynomial time) and QIP (quantum interactive polynomial time). An
Complexity_class
Algorithm for public key cryptography
video on voting using cryptographic methods. A Ruby implementation of Paillier homomorphic addition and a zero-knowledge proof protocol (documentation)
Paillier_cryptosystem
Concept in game theory
1162/0033553041502225. ISSN 0033-5533. Bacharach, Michael (1 June 1999). "Interactive team reasoning: A contribution to the theory of co-operation". Research
Focal_point_(game_theory)
Logical paradox in decision-making theory
A relationship between intolerance and homophily, a preference for interacting with those with similar traits, appears when a tolerant person's relationship
Paradox_of_tolerance
Digital asset using a distributed ledger
implement additional measures to increase privacy, such as by using zero-knowledge proofs. A recent 2020 study presented different attacks on privacy in cryptocurrencies
Cryptocurrency
Physics problem related to laws of motion and gravity
conditions corresponding to zero angular momentum. In practice, the latter restriction is insignificant since initial conditions with zero angular momentum are
Three-body_problem
American computer scientist and cryptographer (born 1955)
with Torben Pedersen, he demonstrated a well-cited zero-knowledge proof of a DDH tuple. This proof is particularly useful as it can prove proper reencryption
David_Chaum
Pairing where no unchosen pair prefers each other over their choice
misrepresenting his preferences. Moreover, the GS algorithm is even group-strategy proof for men, i.e., no coalition of men can coordinate a misrepresentation of
Stable_matching_problem
Elementary particle involved with rest mass
scalar boson that couples to (interacts with) particles whose mass arises from their interactions with the Higgs field, has zero spin, even (positive) parity
Higgs_boson
mathematical knowledge should be systematically encoded in computer-readable formats, so as to facilitate automated proof checking of mathematical proofs and the
Philosophy_of_mathematics
Theory of equilibrium between supply and demand
positive prices and demand does not exceed supply for goods with a price of zero. Walras was not able to provide a definitive answer to this question (see
General_equilibrium_theory
Programming language
issue that the theorem provers would attempt to claim a proof was valid by putting non-proofs together. As a result, he went on to develop the meta language
OCaml
satisfactory proofs of the fundamental theorem of algebra and quadratic reciprocity law. This century saw the development of the two forms of non-Euclidean
History_of_mathematics
Trigger strategy
(2016). Game Theory in Communication Networks: Cooperative Resolution of Interactive Networking Scenarios. CRC Press. ISBN 9781138199385. Baurmann, Michael;
Grim_trigger
E2E verifiable e-voting system
with a zero knowledge proof to prove that R i {\displaystyle R_{i}} and Z i {\displaystyle Z_{i}} are well-formed. This zero knowledge proof can be realized
DRE-i_with_enhanced_privacy
Field of knowledge
knowledge concerned with abstract concepts such as numbers, geometric shapes, sets, functions, and probabilities. It uses logical reasoning and proof
Mathematics
Israeli psychologist (1937–1996)
generosity [further explanation needed] with which Tversky and Kahneman interacted with each other. Tversky and Kahneman (1995) addressed ambiguity aversion
Amos_Tversky
Theorem in vector calculus
techniques require substantial background, so the proof below avoids them, and does not presuppose any knowledge beyond a familiarity with basic vector calculus
Stokes'_theorem
Intelligence of machines
prompts. The traditional goals of AI research include learning, reasoning, knowledge representation, planning, natural language processing, and perception
Artificial_intelligence
Decrease in severity of conflicts
simulations and role playing to place law enforcement personnel in an interactive learning environment to replicate real-life scenarios or teach particular
De-escalation
Integral expressing the amount of overlap of one function as it is shifted over another
Convolution Kernel Mask Operation Interactive tutorial Convolution at MathWorld Freeverb3 Impulse Response Processor: Opensource zero latency impulse response
Convolution
Branch of logic
Propositional Logic — Logic and Proof 3.18.4 documentation". leanprover.github.io. Retrieved 28 March 2024. "Knowledge Representation and Reasoning: Basics
Propositional_logic
Algorithm for finding shortest paths
to every node a distance from start value: for the starting node, it is zero, and for all other nodes, it is infinity, since initially no path is known
Dijkstra's_algorithm
Resource problem in machine learning
{\displaystyle t} . A zero-regret strategy is a strategy whose average regret per round ρ / T {\displaystyle \rho /T} tends to zero with probability 1 when
Multi-armed_bandit
Framework for cryptographic protocols
represent interactive protocols. These 12 patterns are called the "fundamental" interactive handshake patterns. The fundamental interactive patterns are
Noise_Protocol_Framework
Subfield of cryptography
The computation is based on secret sharing of all the inputs and zero-knowledge proofs for a potentially malicious case, where the majority of honest players
Secure multi-party computation
Secure_multi-party_computation
mandelbrot" shows a Mandelbrot set in the Knowledge Graph.[citation needed] Clicking the set opens an interactive fractal viewer. "mars 2020( see it )",
List_of_Google_Easter_eggs
"Knowledge Representation and Reasoning: Basics of Logics". www.emse.fr. Retrieved 2024-03-28. "6. Semantics of Propositional Logic — Logic and Proof 3
Glossary_of_logic
Type of logical system
Many such systems are primarily intended for interactive use by human mathematicians: these are known as proof assistants. They may also use formal logics
First-order_logic
Greenemeier, Larry (18 October 2017). "AI versus AI: Self-Taught AlphaGo Zero Vanquishes Its Predecessor". Scientific American. Archived from the original
Timeline of artificial intelligence
Timeline_of_artificial_intelligence
2004 American science fiction drama film directed by Shane Carruth
leave the field in the present, or at some previous point. Abe refines this proof-of-concept and builds a stable time-apparatus ("the box"), sized to accommodate
Primer_(film)
Neologism for cooperative competition
interdependencies), and (3) How coopetition and its interrelated components interact and influence knowledge sharing behaviors in cross-functional software teams. This
Coopetition
Device that measures proper acceleration
81 m/s2. By contrast, an accelerometer that is in free fall will measure zero acceleration. Highly sensitive accelerometers are used in inertial navigation
Accelerometer
Study of strategic decision making
Mean-field game theory is the study of strategic decision making by small interacting agents in very large populations. It lies at the intersection of game
Mean-field_game_theory
Processing of natural language by a computer
analyzed PMM is the probable measure of meaning based on a corpora d is the non zero location of the token along the sequence of N tokens PF is the probability
Natural_language_processing
Facilitating a peaceful outcome to a dispute
Thomas Schelling applied game theory to situations where the outcome is not zero-sum. Conflict is a contest. Rational behavior, in this contest, is a matter
Conflict_resolution
Hand game for two players or more
being spread throughout the world in the early 20th century. A simultaneous, zero-sum game, it has three possible outcomes: a draw, a win, or a loss. A player
Rock_paper_scissors
British comedy panel game television quiz show
have also been released, including interactive quizzes, and complete series releases. On 14 November 2005 an interactive QI DVD game, called QI: A Quite
QI
Dilemma game. Many different concepts exist to express how players might interact. An optimal interaction may be one in which no player's payoff can be made
Outcome_(game_theory)
Cryptographic protocol for two-party computation
Goldwasser, S; Micali, S; Rackoff, C (1985-12-01). "The knowledge complexity of interactive proof-systems". Proceedings of the seventeenth annual ACM symposium
Garbled_circuit
Game in economic experiments
the receiver's is S. If the receiver rejects the offer, both players get zero. The unique subgame perfect equilibrium is (S=0, Accept). It is weak because
Ultimatum_game
Concept in game theory
the value of a two-person zero-sum Γ ∞ {\displaystyle \Gamma _{\infty }} and in defining equilibrium payoffs of a non-zero-sum Γ ∞ {\displaystyle \Gamma
Stochastic_game
Short story by Jorge Luis Borges
immersive, interactive digital archive, visually exploring infinite combinations of data and memory, thus reflecting Borges' concepts of infinite knowledge, randomness
The_Library_of_Babel
NON INTERACTIVE-ZERO-KNOWLEDGE-PROOF
NON INTERACTIVE-ZERO-KNOWLEDGE-PROOF
Female
English
Variant form of Old English Nona, NONI means "ninth."
Male
Italian
 Short form of Italian Raniero, NERO means "wise warrior." Compare with another form of Nero.
Male
Spanish
Spanish name derived from Latin juniperus, JUNÃPERO means "juniper tree."
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
Good Looking; Interactive; Brightness
Biblical
same as Non
Boy/Male
Arabic
Empty.
Male
Hebrew
(רï‹×Ÿ) Hebrew unisex name RON means "joy, song." Compare with another form of Ron.
Male
Finnish
Finnish form of German Erich, EERO means "ever-ruler."Â
Boy/Male
Greek
Son of Apollo.
Boy/Male
American, Australian
Little Son
Girl/Female
Biblical
Posterity, a fish, eternal.
Male
Finnish
Short form of Finnish Antero, TERO means "man; warrior."
Male
Norwegian
Danish and Norwegian form of Old Norse Hákon, HÅKON means "high son."
Female
Greek
(ἩÏá½¼) Greek name derived form the word hÄ“rÅs, HERO means "hero." In mythology, this is the name of the lover of Leandros (Latin Leander).
Surname or Lastname
English, German, Dutch, French (Noé, Noë), Spanish (Noé), Catalan (Noè)
English, German, Dutch, French (Noé, Noë), Spanish (Noé), Catalan (Noè) : from the Biblical personal name Noach ‘Noah’, which means ‘comfort’ in Hebrew. According to the Book of Genesis, Noah, having been forewarned by God, built an ark into which he took his family and representatives of every species of animal, and so was saved from the flood that God sent to destroy the world because of human wickedness. The personal name was not common among non-Jews in the Middle Ages, but the Biblical story was an extremely popular subject for miracle plays. In many cases, therefore, the surname probably derives from a nickname referring to someone who had played the part of Noah in a miracle play or pageant, rather than from a personal name.
Boy/Male
Arabic, Australian, German, Greek, Kurdish
Empty; Void
Biblical
posterity; a fish; eternal
Female
Vietnamese
Vietnamese name NGON means "good communication."
Male
French
French form of Greek Noe, NOÉ means "rest."
Female
English
(רï‹×Ÿ) Hebrew unisex name RON means "joy, song." Compare with strictly masculine Ron.
NON INTERACTIVE-ZERO-KNOWLEDGE-PROOF
NON INTERACTIVE-ZERO-KNOWLEDGE-PROOF
Boy/Male
Hindu, Indian
Someone who Rules the World
Boy/Male
Indian
A narrator of Hadith
Surname or Lastname
English
English : metronymic from the medieval female personal name Eve.
Surname or Lastname
English
English : probably a variant spelling of Tear.Perhaps also a reduced form of Irish McTeer.Americanized spelling of German Thier or Dier.
Boy/Male
Hindu
Small portion, Littleness, Practicle or atom
Girl/Female
Gujarati, Hindu, Indian
Fair Woman Like a Swan
Boy/Male
Tamil
Created by Vilas
Boy/Male
Hindu, Indian, Tamil
Person who is Very Kind and Generous
Girl/Female
American, British, English
Invented Name; A Bird of Light; A Blue; Crested Bird
Boy/Male
French
Servant.
NON INTERACTIVE-ZERO-KNOWLEDGE-PROOF
NON INTERACTIVE-ZERO-KNOWLEDGE-PROOF
NON INTERACTIVE-ZERO-KNOWLEDGE-PROOF
NON INTERACTIVE-ZERO-KNOWLEDGE-PROOF
NON INTERACTIVE-ZERO-KNOWLEDGE-PROOF
v. t.
To acknowledge.
pl.
of Zero
n.
Mutual or reciprocal action or influence; as, the interaction of the heart and lungs on each other.
n.
That which has no value; a cipher; zero.
v. i.
That familiarity which is gained by actual experience; practical skill; as, a knowledge of life.
a.
Not tractile; incapable of being drawn out or extended.
n.
Fig.: The lowest point; the point of exhaustion; as, his patience had nearly reached zero.
v. t.
To know; to understand; to acknowledge.
v. i.
Sexual intercourse; -- usually preceded by carnal; as, carnal knowledge.
v. i.
Scope of information; cognizance; notice; as, it has not come to my knowledge.
n.
A large and valuable fish of the Mackerel family, of the genus Scomberomorus. Two species are found in the West Indies and less commonly on the Atlantic coast of the United States, -- the common cero (Scomberomorus caballa), called also kingfish, and spotted, or king, cero (S. regalis).
n.
A cipher; zero.
a.
Having the power to prohibit; as, an interdictive sentence.
n.
Knowledge of one's self, or of one's own character, powers, limitations, etc.
v. t.
To own with gratitude or as a benefit or an obligation; as, to acknowledge a favor, the receipt of a letter.
a.
No; not. See No, a.
pl.
of Zero
v. t.
To of or admit the knowledge of; to recognize as a fact or truth; to declare one's belief in; as, to acknowledge the being of a God.