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A consistency proof is a mathematical proof that a particular theory is consistent. [8] The early development of mathematical proof theory was driven by the desire to provide finitary consistency proofs for all of mathematics as part of Hilbert's program .
In statistics, consistency of procedures, such as computing confidence intervals or conducting hypothesis tests, is a desired property of their behaviour as the number of items in the data set to which they are applied increases indefinitely.
Wikipedia:Consistency in article titles (WP:TITLECON), explanatory supplement to the above policy page, on naming articles along consistent patterns, especially within a category Wikipedia:Manual of Style § Consistency within articles ( MOS:ARTCON ), on using a consistent variety of English within an article
In database systems, consistency (or correctness) refers to the requirement that any given database transaction must change affected data only in allowed ways. Any data written to the database must be valid according to all defined rules, including constraints , cascades , triggers , and any combination thereof.
The most common internal consistency measure is Cronbach's alpha, which is usually interpreted as the mean of all possible split-half coefficients. [9] Cronbach's alpha is a generalization of an earlier form of estimating internal consistency, Kuder–Richardson Formula 20. [9]
"Consistency", an 1887 speech by Mark Twain "Consistency", a song by Megan Thee Stallion and Jhené Aiko from the album Traumazine, 2022; The consistency criterion, a measure of a voting system requiring that where one is elected by all segments of the voters, one must win the election; Consistency Theory, an album by 1200 Techniques
In mathematical logic, two theories are equiconsistent if the consistency of one theory implies the consistency of the other theory, and vice versa. In this case, they are, roughly speaking, "as consistent as each other". In general, it is not possible to prove the absolute consistency of a theory T.
Eventual consistency is a weak guarantee – most stronger models, like linearizability, are trivially eventually consistent. Eventually-consistent services are often classified as providing BASE semantics (basically-available, soft-state, eventual consistency), in contrast to traditional ACID (atomicity, consistency, isolation, durability).