In computational complexity theory, an interactive proof system is an abstract machine that models computation as the exchange of messages between two...

Interactive proof can refer to: The abstract concept of an Interactive proof system Interactive theorem proving software This disambiguation page lists...

functions. One way this was done was with multi-prover interactive proof systems (see interactive proof system), which have multiple independent provers instead...

mathematical logic, a proof assistant or interactive theorem prover is a software tool to assist with the development of formal proofs by human–machine collaboration...

Non-interactive zero-knowledge proofs are cryptographic primitives, where information between a prover and a verifier can be authenticated by the prover...

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...

genders are alternated: Alice, Bob, Carol, Dave, Eve, etc. For interactive proof systems there are other characters: The names Alice and Bob are often...

In cryptography, a proof of knowledge is an interactive proof in which the prover succeeds in 'convincing' a verifier that the prover knows something....

other models of computation (e.g. probabilistic Turing machines, interactive proof systems, Boolean circuits, and quantum computers). The study of the relationships...

of an interactive proof system was first introduced by Shafi Goldwasser, Silvio Micali, and Charles Rackoff in 1985. An interactive proof system consists...

Quantum Interactive Proof) is the quantum computing analogue of the classical complexity class IP, which is the set of problems solvable by an interactive proof...

a material's porous structure MIP, an interactive proof system complexity class; see Interactive proof system Minimum ionizing particle, in particle...

sequence. Formal proofs often are constructed with the help of computers in interactive theorem proving (e.g., through the use of proof checker and automated...

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...

provers gives it great power. See interactive proof system#MIP for more details. Another interactive proof system characterizing NEXPTIME is a certain...

languages recognizable by a particular interactive proof system, the one defining the class IP. In this system, there is an all-powerful prover trying...

3/4. A quantum interactive proof with two competing provers is a generalization of the single prover quantum interactive proof system. It can be modelled...

box (i.e., as a random oracle). Black box group Turing reduction Interactive proof system Matroid oracle Demand oracle Padding oracle attack Adachi 1990...

result IP = PSPACE was shown (see interactive proof system), it was done by exhibiting an interactive proof system that could solve QBF by solving a particular...

computation is also critical for the definition of most classes of interactive proof systems, in which the verifier machine depends on randomness to avoid...

Coq) is an interactive theorem prover first released in 1989. It allows the expression of mathematical assertions, mechanical checking of proofs of these...

scientist known for major results in computational complexity and interactive proof systems. Since 2019, he has been at the Illinois Institute of Technology...

NP can be seen as a very simple type of interactive proof system, where the prover comes up with the proof certificate and the verifier is a deterministic...

1993 Gödel Prize for his work on interactive proof systems and for being one of the co-inventors of zero-knowledge proofs. In 2011, he won the RSA Award...

integer determinant of a matrix IP Solvable in polynomial time by an interactive proof system L Solvable with logarithmic (small) space LOGCFL Logspace-reducible...

Micali, S.; Rackoff, C. (1989), "The knowledge complexity of interactive proof systems" (PDF), SIAM Journal on Computing, 18 (1): 186–208, CiteSeerX 10...

Vampire theorem prover Interactive proof system Mizar system QED project Coq Automated Mathematician Eurisko Begriffsschrift Systems of Logic Based on Ordinals...

well known for his work on interactive proof systems. His two most-cited papers are Raz (1998) on multi-prover interactive proofs and Raz & Safra (1997) on...

1993 (for "The knowledge complexity of interactive proof systems"), and again in 2001 (for Interactive Proofs and the Hardness of Approximating Cliques)...

Mathematics portal Interactive proof system Las Vegas algorithm Incompressibility method Method of conditional probabilities Probabilistic proofs of non-probabilistic...