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A state S of the DFA is an accepting state if and only if at least one member of S is an accepting state of the NFA. [2] [3] In the simplest version of the powerset construction, the set of all states of the DFA is the powerset of Q, the set of all possible subsets of Q. However, many states of the resulting DFA may be useless as they may be ...
An example that can be used to demonstrate the powerset construction reducing NFAs to equivalent DFAs. The corresponding NFA is Image:NFA-powerset-construction-example.svg. Created by Derrick Coetzee in Adobe Illustrator based on the same source as en:Image:DFA-powerset-construction-example.png, which this replaces. Date
Also, given an NFA, using the powerset construction one can build a DFA that recognizes the same language as the NFA, although the DFA could have exponentially larger number of states than the NFA. [ 15 ] [ 16 ] However, even though NFAs are computationally equivalent to DFAs, the above-mentioned problems are not necessarily solved efficiently ...
An example that can be used to demonstrate the powerset construction reducing NFAs to equivalent DFAs. The corresponding DFA is Image:DFA-powerset-construction-example.svg. Created by Derrick Coetzee in Adobe Illustrator based on the same source as en:Image:NFA-powerset-construction-example.png, which this replaces. Date
The DFA can be constructed using the powerset construction. This result shows that NFAs, despite their additional flexibility, are unable to recognize languages that cannot be recognized by some DFA. It is also important in practice for converting easier-to-construct NFAs into more efficiently executable DFAs.
In computer science theory – particularly formal language theory – Glushkov's construction algorithm, invented by Victor Mikhailovich Glushkov, transforms a given regular expression into an equivalent nondeterministic finite automaton (NFA).
To decide whether two given regular expressions describe the same language, each can be converted into an equivalent minimal deterministic finite automaton via Thompson's construction, powerset construction, and DFA minimization. If, and only if, the resulting automata agree up to renaming of states, the regular expressions' languages agree.
TNFA determinization is based on the canonical powerset construction algorithm that converts an NFA to a DFA. The algorithm simulates NFA on all possible strings. At each step of the simulation, the active set of NFA states forms a new DFA state.