In the theory of computation and automata theory, the powerset construction or subset construction is a standard method for converting a nondeterministic...
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equivalent minimal deterministic finite automaton via Thompson's construction, powerset construction, and DFA minimization. If, and only if, the resulting automata...
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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...
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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...
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plus one. Subsequently, the NFA can be made deterministic by the powerset construction and then be minimized to get an optimal automaton corresponding...
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Finite-state transducer (section Formal construction)
two transitions leaving any state share the same input label. The powerset construction can be extended to transducers, or even weighted transducers, but...
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⇒ 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...
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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...
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original language. Converting this NFA to a DFA using the standard powerset construction (keeping only the reachable states of the converted DFA) leads to...
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to one, more than one, or no transition for a given state. The powerset construction algorithm can transform any nondeterministic automaton into a (usually...
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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...
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signature algorithm Rabin–Karp string search algorithm Rabin–Scott powerset construction Adian–Rabin theorem Berlekamp–Rabin algorithm Miller–Rabin primality...
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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...
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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...
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state machine to a deterministic finite automaton by using the powerset construction, and then complementing its set of accepting states. Once a machine...
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non-determinism. Just as the finite-powerset construction is the free semilattice, the powerdomain constructions should be understood abstractly as free...
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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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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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Limit cardinal (section Constructions)
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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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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search results: examples include Microsoft Bing (via technology gained from Powerset) and DuckDuckGo. Collections of Wikipedia articles have been published...
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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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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...
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