• In the theory of computation and automata theory, the powerset construction or subset construction is a standard method for converting a nondeterministic...
    12 KB (1,500 words) - 03:56, 4 April 2024
  • equivalent minimal deterministic finite automaton via Thompson's construction, powerset construction, and DFA minimization. If, and only if, the resulting automata...
    13 KB (1,110 words) - 19:55, 12 July 2024
  • Thumbnail for Deterministic finite automaton
    several arrows of the same label starting from a state. Using the powerset construction method, every NFA can be translated to a DFA that recognizes the...
    30 KB (3,705 words) - 16:35, 16 July 2024
  • the powerset construction, which may lead to an exponential rise in the number of necessary states. For a formal proof of the powerset construction, please...
    30 KB (4,509 words) - 06:37, 30 August 2024
  • plus one. Subsequently, the NFA can be made deterministic by the powerset construction and then be minimized to get an optimal automaton corresponding...
    10 KB (1,570 words) - 11:02, 3 December 2023
  • two transitions leaving any state share the same input label. The powerset construction can be extended to transducers, or even weighted transducers, but...
    20 KB (2,547 words) - 09:28, 1 May 2024
  • ⇒ 2. by Thompson's construction algorithm 2. ⇒ 1. by Kleene's algorithm or using Arden's lemma 2. ⇒ 3. by the powerset construction 3. ⇒ 2. since the former...
    29 KB (3,414 words) - 07:38, 22 July 2024
  • finite automaton from a nondeterministic finite automaton is the powerset construction.: 44  Anderson, James A. (2006). Automata theory with modern applications...
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  • These are expensive to construct—they are usually created using the powerset construction—but are very quick to use. For example, the DFA shown to the right...
    18 KB (2,005 words) - 14:01, 7 April 2024
  • Thumbnail for DFA minimization
    original language. Converting this NFA to a DFA using the standard powerset construction (keeping only the reachable states of the converted DFA) leads to...
    23 KB (3,173 words) - 06:14, 19 August 2024
  • Thumbnail for Finite-state machine
    to one, more than one, or no transition for a given state. The powerset construction algorithm can transform any nondeterministic automaton into a (usually...
    41 KB (4,540 words) - 20:01, 16 August 2024
  • n {\displaystyle 2^{n}} states by performing a similar kind of powerset construction as used for the transformation of an NFA to a DFA. The membership...
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  • by John G.F. Francis and Vera Kublanovskaya 1959 – Rabin–Scott powerset construction for converting NFA into DFA published by Michael O. Rabin and Dana...
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  • minimizing the number of states in a deterministic finite automaton Powerset construction: algorithm to convert nondeterministic automaton to deterministic...
    71 KB (7,827 words) - 18:40, 18 August 2024
  • Thumbnail for Michael O. Rabin
    signature algorithm Rabin–Karp string search algorithm Rabin–Scott powerset construction Adian–Rabin theorem Berlekamp–Rabin algorithm Miller–Rabin primality...
    19 KB (1,606 words) - 04:49, 26 July 2024
  • Thumbnail for Dana Scott
    semantics Scott–Potter set theory Scott–Strachey semantics Rabin–Scott powerset construction Awards Leroy P. Steele Prize (1972) Turing Award (1976) Tarski Lectures...
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  • length at most 1. NFAs, in turn, can be reduced to DFAs using the powerset construction. This shows that GNFAs recognize the same set of formal languages...
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  • preferable in this case. TNFA determinization is based on the canonical powerset construction algorithm that converts an NFA to a DFA. The algorithm simulates...
    30 KB (4,605 words) - 05:23, 13 August 2023
  • A(z)=1+B(z)+B(z)^{2}+B(z)^{3}+\cdots ={\frac {1}{1-B(z)}}.} The set (or powerset) construction, denoted by A = P { B } {\displaystyle {\mathcal {A}}={\mathfrak...
    28 KB (5,182 words) - 08:47, 7 November 2023
  • Thumbnail for Garden of Eden (cellular automaton)
    state machine to a deterministic finite automaton by using the powerset construction, and then complementing its set of accepting states. Once a machine...
    28 KB (3,497 words) - 23:59, 19 August 2024
  • non-determinism. Just as the finite-powerset construction is the free semilattice, the powerdomain constructions should be understood abstractly as free...
    9 KB (1,154 words) - 09:21, 22 February 2024
  • Thumbnail for Sri Lanka Railways S13
    Lankapuvath. 12 November 2018. Retrieved 27 November 2022. "New train engine and powerset lands in Sri Lanka". News First. 3 December 2018. Retrieved 27 November...
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  • Thumbnail for Tulsi Lake
    original on 5 April 2008. Retrieved 14 January 2022. "Tulsi Lake - Powerset". www.powerset.com. Archived from the original on 7 December 2008. Retrieved 14...
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  • cardinal λ is a strong limit cardinal if λ cannot be reached by repeated powerset operations. This means that λ is nonzero and, for all κ < λ, 2κ < λ. Every...
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  • implies the existence of ω. First, if we take the powerset of any infinite set x, then that powerset will contain elements that are subsets of x of every...
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  • Entertainment Onfolio Pando Networks Perceptive Pixel Playground Games PlaceWare Powerset Press Play ProClarity Rare Revolution Analytics RiskIQ ScreenTonic Secure...
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  • Thumbnail for Cantor's diagonal argument
    Assuming the law of excluded middle, characteristic functions surject onto powersets, and then | 2 S | = | P ( S ) | {\displaystyle |2^{S}|=|{\mathcal {P}}(S)|}...
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  • Thumbnail for Wikipedia
    search results: examples include Microsoft Bing (via technology gained from Powerset) and DuckDuckGo. Collections of Wikipedia articles have been published...
    315 KB (27,004 words) - 18:29, 29 August 2024
  • list monad is used to model nondeterministic computations. The covariant powerset monad is also known as the set monad, and is also used to model nondeterministic...
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  • Thumbnail for Klein four-group
    by the symmetric difference as the binary operation on the subsets of a powerset of a set with two elements—that is, over a field of sets with four elements...
    10 KB (1,357 words) - 07:18, 20 August 2024