• In automata theory, McNaughton's theorem refers to a theorem that asserts that the set of ω-regular languages is identical to the set of languages recognizable...
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  • using the acceptance condition of Muller automata and vice versa. McNaughton's theorem demonstrates the equivalence of non-deterministic Büchi automaton...
    5 KB (642 words) - 11:00, 14 April 2025
  • Thumbnail for Büchi automaton
    not be an algorithm for determinization of Büchi automata. But, McNaughton's Theorem and Safra's construction provide algorithms that can translate a...
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  • it an ordered field such that, in this ordering, the intermediate value theorem holds for all polynomials over F with degree ≥ 0. F is a weakly o-minimal...
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  • complexity theory. The first main result of descriptive complexity was Fagin's theorem, shown by Ronald Fagin in 1974. It established that NP is precisely the...
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  • condition when y is non-empty.) Another way to state Schützenberger's theorem is that star-free languages and counter-free languages are the same thing...
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  • hundred mathematical logic theorems in Whitehead and Russell's Principia Mathematica. In 1961, he was appointed Gordon McKay Professor of Mathematical...
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  • include the "elimination method" attributed to Brzozowski and McCluskey, the algorithm of McNaughton and Yamada, and the use of Arden's lemma. According to Gross...
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  • vertex set Q induced by its transition relation. Now the theorem is stated as follows. Eggan's Theorem: The star height of a regular language L equals the...
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  • c.300 BC – Euclid's Euclid's Elements expounds geometry as a system of theorems following logically from axioms. c.240 BC – The Greek polymath Eratosthenes...
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  • that recognizes the language L {\displaystyle L} . By the Myhill–Nerode theorem, the syntactic monoid is unique up to unique isomorphism. An alphabet is...
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  • is also complete. This does not contradict Gödel's first incompleteness theorem, because Tarski's theory lacks the expressive power needed to interpret...
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  • Sequential Formula Translation, ALGOL, software engineering, Bauer–Fike theorem Kent Beck – created Extreme programming, cocreated JUnit Donald Becker...
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  • Star height problem (category Theorems in discrete mathematics)
    automaton Eggan 1963. Dejean & Schützenberger 1966. Brzozowski 1980. McNaughton 1967. Hashiguchi 1988. Kirsten 2005. Colcombet & Löding 2008. Fijalkow...
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  • between non-dimensionalized variables of fluids based on the Buckingham π theorem. Similarity theory is extensively used in boundary layer meteorology since...
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  • Thumbnail for RAND Corporation
    economist, won the Nobel Prize in Economics, developed the impossibility theorem in social choice theory Bruno Augenstein: V.P., physicist, mathematician...
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  • Thumbnail for Alfred Tarski
    "Truth and proof" considered both Gödel's incompleteness theorems and Tarski's undefinability theorem, and mulled over their consequences for the axiomatic...
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  • proved independently by Albert and Lawrence; McNaughton; and Guba. The proofs rely on Hilbert's basis theorem. The computational embodiment of a monoid morphism...
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  • the solution to the problem of multiple principals due to median voter theorem: shareholders' meetings lead power to be devolved to an actor that approximately...
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  • Thumbnail for Rotating reference frame
    \right]{\boldsymbol {f}}\ .} This result is also known as the transport theorem in analytical dynamics and is also sometimes referred to as the basic kinematic...
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  • Thumbnail for ACM Software System Award
    Trakhtenbrot, Aron Trauring 2006 Eiffel Bertrand Meyer 2005 The Boyer-Moore Theorem Prover Robert S. Boyer, Matt Kaufmann, J Strother Moore 2004 Secure Network...
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  • Thumbnail for Willard Van Orman Quine
    cryptic. The last chapter, on Gödel's incompleteness theorem and Tarski's indefinability theorem, along with the article Quine (1946), became a launching...
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  • Thumbnail for List of Internet pioneers
    TCP in BCPL on the PDP 11/20 at Stanford. He went on to get a Ph.D. in theorem proving and now is president of a company called ISDN Technologies out...
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  • Thumbnail for James Cockle
    problem of solving the quintic equation, notwithstanding Abel–Ruffini theorem that a solution by radicals was impossible. In this field Cockle achieved...
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  • doi:10.1145/1007352.1007390. ISBN 978-1581138528. S2CID 7473479. Sect.4, Theorem 5, Alur, R.; Madhusudan, P. (2009). "Adding nesting structure to words"...
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  • Thumbnail for Anne
    of the main characters in The Boys franchise Ann Arbor, Michigan Anne's theorem, result from Euclidean geometry, due to Pierre-Leon Anne (1806–1850) Lady...
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  • Science George David Birkhoff, mathematician, discoverer of the ergodic theorem Raymond Ward Bissell, art historian Lisle Blackbourn, NFL head coach Gary...
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  • Istanbul–Turkey David Blackwell, Ph.D. 1941 – mathematician; 2010 Rao–Blackwell theorem; first African American to be inducted into the National Academy of Sciences...
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  • consisted of Sir Nigel Shadbolt, Shukry James Habib, Dorothy Koomson, Stephen McGann, and Gwyneth Williams. All books entered for the prize must be published...
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  • Morse code Harry Nyquist (Ph.D. 1917), engineer known for the Nyquist theorem John Ousterhout (B.S. 1975), creator of the Tcl programming language Ronald...
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