Definition & Betydelse | Engelska ordet PROVABLE

Definition av PROVABLE

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Exempel på hur man kan använda PROVABLE i en mening

• A restricted form of the Baire category theorem, in which the complete metric space is also assumed to be separable, is provable in ZF with no additional choice principles.
• By using counterexamples to show that certain conjectures are false, mathematical researchers can then avoid going down blind alleys and learn to modify conjectures to produce provable theorems.
• The unclear status of the Second Theorem was noted for several decades by logicians such as Georg Kreisel and Leon Henkin, who asked whether the formal sentence expressing "This sentence is provable" (as opposed to the Gödel sentence, "This sentence is not provable") was provable and hence true.
• Rudolf Carnap (1934) was the first to prove the general self-referential lemma, which says that for any formula F in a theory T satisfying certain conditions, there exists a formula ψ such that ψ ↔ F(°#(ψ)) is provable in T.
• Provability logic is a modal logic, in which the box (or "necessity") operator is interpreted as 'it is provable that'.
• Imre Lakatos characterizes it as a "watered down" form of provable truth propounded by some sociologists of knowledge, particularly Thomas Kuhn and Michael Polanyi.
• An immediate corollary (the contrapositive) of Löb's theorem is that, if P is not provable in PA, then "if P is provable in PA, then P is true" is not provable in PA.
• Forgeries can be discovered through visual and chemical examination, and through a provable provenance—a collection of written documentation detailing a painting's ownership history.
• Finally, the term provable security is sometimes used by sellers of security software that are attempting to sell security products like firewalls, antivirus software and intrusion detection systems.
• The society is inspired by the original Rosicrucian Brotherhood but does not openly claim a provable link thereto.
• Using his axiom system, Tarski was able to show that the first-order theory of Euclidean geometry is consistent, complete and decidable: every sentence in its language is either provable or disprovable from the axioms, and we have an algorithm which decides for any given sentence whether it is provable or not.
• For the large primes used in cryptography, provable primes can be generated based on variants of Pocklington primality test, while probable primes can be generated with probabilistic primality tests such as the Baillie–PSW primality test or the Miller–Rabin primality test.
• Boot-strapping techniques using Pocklington primality test are the most common ways to generate provable primes for cryptography.
• This result, known as Borel determinacy, is the best possible determinacy result provable in ZFC, in the sense that the determinacy of the next higher Wadge class is not provable in ZFC.
• Limitation of Size plus I being a set (hence the universe is nonempty) renders provable the sethood of the empty set; hence no need for an axiom of empty set.
• If the Entscheidungsproblem can be solved THEN a mechanical process exists for determining whether Un(M) is provable (derivable), AND.
• Broadcast search is used for ideation problems where an organization mobilizes a crowd to come up with a solution to a problem that has an objective, provable right answer.
• Morrell's writings were typically full of exaggerations and provable errors, and he had a reputation for vagueness concerning positions and dates, but his claims had remained uninvestigated.
• Whether the debt is liquidated or unliquidated does not matter, and the set-off will apply to future or contingent claims if the debts are provable.
• In their paper, Rogaway and Shrimpton proposed a provable key-wrapping algorithm (SIV—the Synthetic Initialization Vector mode) that authenticates and encrypts an arbitrary string and authenticates,.

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