• Vampire is an automatic theorem prover for first-order classical logic developed in the Department of Computer Science at the University of Manchester...
    5 KB (408 words) - 22:43, 16 January 2024
  • SETHEO have been combined (with other systems) in the composite theorem prover E-SETHEO. Vampire was originally developed and implemented at Manchester University...
    29 KB (2,933 words) - 22:11, 19 June 2025
  • deep-sea creature Vampire, multiservice tactical brevity code for hostile anti-ship missile Vampire (theorem prover), an automated theorem prover for first-order...
    9 KB (1,094 words) - 12:51, 4 June 2025
  • methodology originates in the field of automated theorem proving and, more specifically, in the Vampire theorem prover project. The idea is inspired by the use...
    7 KB (1,072 words) - 09:47, 18 May 2025
  • Thumbnail for Isabelle (proof assistant)
    The Isabelle automated theorem prover is a higher-order logic (HOL) theorem prover, written in Standard ML and Scala. As a Logic for Computable Functions...
    14 KB (1,290 words) - 10:26, 14 May 2025
  • Isabelle theorem prover LCF theorem prover Otter theorem prover Paradox theorem prover Vampire theorem prover Interactive proof system Mizar system QED project...
    14 KB (1,012 words) - 00:08, 16 November 2024
  • E is a high-performance theorem prover for full first-order logic with equality. It is based on the equational superposition calculus and uses a purely...
    9 KB (937 words) - 22:55, 27 May 2025
  • originally included only the Vampire theorem prover as its core deductive inference engine, but now allows use of many other provers that have participated...
    4 KB (366 words) - 07:01, 8 January 2025
  • Thumbnail for Andrei Voronkov
    graduating with a PhD in 1987. Voronkov is known for the Vampire automated theorem prover, the EasyChair conference management software, the Handbook...
    9 KB (595 words) - 13:59, 19 May 2024
  • Many (state-of-the-art) theorem provers for first-order logic are based on superposition (e.g. the E equational theorem prover), although only a few implement...
    2 KB (191 words) - 06:19, 31 May 2024
  • Thumbnail for Department of Computer Science, University of Manchester
    large group dedicated to the automation of logic including world-champion Vampire. The group is led by Professor Michael Fisher (computer scientist) [Wikidata]...
    27 KB (2,280 words) - 19:54, 19 June 2025
  • mathematical logic and automated theorem proving, resolution is a rule of inference leading to a refutation-complete theorem-proving technique for sentences in...
    28 KB (4,063 words) - 20:45, 28 May 2025
  • Thumbnail for Prime number
    (πρῶτος ἀριθμὸς). Euclid's Elements (c. 300 BC) proves the infinitude of primes and the fundamental theorem of arithmetic, and shows how to construct a perfect...
    117 KB (14,179 words) - 23:31, 23 June 2025
  • checker. ACL2 is a theorem prover that can handle proofs by induction and is a descendant of the Boyer-Moore Theorem Prover, also known as Nqthm. Knowledge-based...
    88 KB (11,032 words) - 01:02, 26 June 2025
  • Thumbnail for Raymond Smullyan
    said by an insane human or a sane vampire is false. His book Forever Undecided popularizes Gödel's incompleteness theorems by phrasing them in terms of reasoners...
    25 KB (2,701 words) - 01:35, 10 June 2025
  • Each of these relations can be proved by mathematical induction. From the second equation, we can deduce Goldbach's theorem (named after Christian Goldbach):...
    46 KB (4,719 words) - 15:29, 20 June 2025
  • because of their close connection to perfect numbers: the Euclid–Euler theorem asserts a one-to-one correspondence between even perfect numbers and Mersenne...
    71 KB (6,408 words) - 19:11, 6 June 2025
  • Concepts in Modal Logic." John McCarthy, 1996, "Modal Logic." Molle a Java prover for experimenting with modal logics Suber, Peter, 2002, "Bibliography of...
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  • Thumbnail for Amicable numbers
    severely restricts the possible values of n. To establish the theorem, Thâbit ibn Qurra proved nine lemmas divided into two groups. The first three lemmas...
    19 KB (2,423 words) - 14:59, 14 June 2025
  • Thumbnail for Squared triangular number
    _{k=1}^{n}k\right)^{2}.} This identity is sometimes called Nicomachus's theorem, after Nicomachus of Gerasa (c. 60 – c. 120 CE). Nicomachus, at the end...
    14 KB (1,874 words) - 23:26, 22 June 2025
  • Thumbnail for Natural number
    replaced by its negation. Theorems that can be proved in ZFC but cannot be proved using the Peano Axioms include Goodstein's theorem. The set of all natural...
    53 KB (5,887 words) - 07:23, 24 June 2025
  • Thumbnail for Carmichael number
    where the strict converse of Fermat's Little Theorem does not hold. This fact precludes the use of that theorem as an absolute test of primality. The Carmichael...
    28 KB (3,602 words) - 19:26, 10 April 2025
  • Thumbnail for Cube (algebra)
    (see also Benjamin, Quinn & Wurtz 2006); he observes that it may also be proved easily (but uninformatively) by induction, and states that Toeplitz (1963)...
    24 KB (3,032 words) - 16:41, 16 May 2025
  • Thumbnail for Triangular number
    {n}{2}}\right)=n^{2}=(T_{n}-T_{n-1})^{2}.} This property, colloquially known as the theorem of Theon of Smyrna, is visually demonstrated in the following sum, which...
    25 KB (3,594 words) - 22:10, 19 June 2025
  • Thumbnail for Square number
    square number, while other divisors come in pairs. Lagrange's four-square theorem states that any positive integer can be written as the sum of four or fewer...
    18 KB (2,540 words) - 21:45, 22 June 2025
  • Thumbnail for Perfect number
    millennia later, Leonhard Euler proved that all even perfect numbers are of this form. This is known as the Euclid–Euler theorem. It is not known whether there...
    38 KB (5,172 words) - 17:00, 3 June 2025
  • Thumbnail for Power of two
    q. And since 31 does not divide q and q measures 496, the fundamental theorem of arithmetic implies that q must divide 16 and be among the numbers 1...
    44 KB (4,372 words) - 19:16, 23 June 2025
  • September 2014). "Terry Gilliam on His Epic New Dystopian Film The Zero Theorem". Wired. Falksen, GD (12 April 2011). "The Nightmare of the Absurd: Terry...
    137 KB (4,141 words) - 03:19, 24 June 2025
  • Thumbnail for Culture of the United Kingdom
    Introducing familiar features in vampire fiction, Varney is the first story to refer to sharpened teeth for a vampire. After adult comics had been published...
    309 KB (35,139 words) - 18:41, 25 June 2025
  • Applications aux Jeux de Hasard and earlier notes, Émile Borel proved a minimax theorem for two-person zero-sum matrix games only when the pay-off matrix...
    138 KB (15,387 words) - 10:44, 6 June 2025