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According to computer scientist Eric Brewer of the University of California, Berkeley, the theorem first appeared in autumn 1998. [9] It was published as the CAP principle in 1999 [10] and presented as a conjecture by Brewer at the 2000 Symposium on Principles of Distributed Computing (PODC). [11]
The Algorand consensus protocol privileges consistency over availability (CAP theorem). [26] If the network is unable to reach consensus over the next step (or block), within a certain time, the protocol enters in a recovery mode, suspending the block production to prevent forks (contrary to what would happen in blockchains based on the ...
The CAP theorem is based on three trade-offs, one of which is "atomic consistency" (shortened to "consistency" for the acronym), about which the authors note, "Discussing atomic consistency is somewhat different than talking about an ACID database, as database consistency refers to transactions, while atomic consistency refers only to a property of a single request/response operation sequence.
C-theorem ; CAP theorem (theoretical computer science) CPCTC (triangle geometry) Cameron–Erdős theorem (discrete mathematics) Cameron–Martin theorem (measure theory) Cantor–Bernstein–Schroeder theorem (set theory, cardinal numbers) Cantor's intersection theorem (real analysis) Cantor's isomorphism theorem (order theory)
Eric Allen Brewer is professor emeritus of computer science at the University of California, Berkeley [1] and vice-president of infrastructure at Google. [2] His research interests include operating systems and distributed computing. He is known for formulating the CAP theorem about distributed network applications in the late 1990s. [3]
The PACELC theorem was first described by Daniel Abadi from Yale University in 2010 in a blog post, [2] which he later clarified in a paper in 2012. [3] The purpose of PACELC is to address his thesis that "Ignoring the consistency/latency trade-off of replicated systems is a major oversight [in CAP], as it is present at all times during system operation, whereas CAP is only relevant in the ...
It is used to symbolize the ever-growing consensus on the Cardano blockchain. Ouroboros is a family of proof-of-stake consensus protocols used in the Cardano and Polkadot blockchains. It can run both permissionless and permissioned blockchains. [1] Ouroboros was published as "the first provable secure PoS consensus protocol".
Danskin's theorem — used in the analysis of minimax problems; Maximum theorem — the maximum and maximizer are continuous as function of parameters, under some conditions; No free lunch in search and optimization; Relaxation (approximation) — approximating a given problem by an easier problem by relaxing some constraints Lagrangian relaxation