Linked Questions
12 questions linked to/from NFA with exponential number of states when determinized
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Maximum number of states in minimized DFA from NFA with $n$ states [duplicate]
If an NFA with $n$ states is converted to an equivalent minimized DFA then what will be the maximum number of states in the DFA? Will it be $2^n$ or $2n$?
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2
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2
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Size comparison of NFA and minimal DFA [duplicate]
Except for isomorphisms, the minimal DFA of a regular language is unique. However, is it possible that an equivalent NFA has less states than the minimal DFA? If so, what is the reasoning behind this? ...
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0
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Can there exist a smaller NFA then a minimal DFA [duplicate]
So every NFA can be transformed to a DFA and every DFA can be transformed to a minimal DFA.
But every NFA can also be transformed to a GNFA (generalized NFA) with 2 states. This is just the start and ...
0
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42
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NFA -> DFA powerset construction worst case [duplicate]
I am wondering what generic example there is so that an NFA with n states results into a DFA with $2^n$ states after the conversion by the subset construction. I know there is the example by Hopcroft ...
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an NFA whose corresponding DFA has at least $2^n - \alpha$ reachable states [duplicate]
Is there an NFA with n states so that the DFA resulting from the standard conversion of the NFA to a DFA has at least $2^n - \alpha$ reachable states for some integer $\alpha \ge 1$?
Let $N= (Q, \...
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23
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3
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7k
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How to prove that DFAs from NFAs can have exponential number of states?
All non-deterministic finite automata can be turned into equivalent deterministic finite automata. However, a deterministic finite automata only allows a single arrow per symbol pointing from a state. ...
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3
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does a DFA converted from NFA always contain 2^Q states?
when converting an NFA to DFA, we create sub-sets of states in the NFA.
does it mean that every DFA-converted-from-NFA contain 2^Q states? or if some sub-sets are unreachable then they are not ...
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2
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Does NFA to DFA conversion give the minimal DFA as result?
When converting NFA to DFA, do I always get the minimal DFA or not?
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5
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1
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221
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Maximal minimal DFA for some language of n-bit strings
Notation: $M$ is a DFA; $L(M)$ is the language accepted by $M$; $\min(M)$ is the minimal automaton equivalent to $M$ derived from a minimization algorithm such as the Hopcroft algorithm; and $|M|$ is ...
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2
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2
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196
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Given an non-deterministic finite automaton, will its determinization always have unreachable states?
Given an NFA that accepts the regular language L, will its equivalent DFA which accepts the same language L always have unreachable states.
If it does, why?
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1
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Languages such that DFA requires $\Omega(c^k)$ states but NFA needs only $O(k)$ states?
Given an alphabet $\Sigma$, let $c=|\Sigma|$. Can a set of languages $\{L_k\}$ be created, such that any DFA for $L_k$ has $\Omega(c^k)$ states and a NFA for $L_k$ exists with $O(k)$ states?
I'm ...
- 156
0
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0
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25
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Are there more succint algorithm for translating NFA's to DFA's?
When translating an NFA to its deterministic equivalent, we get an exponential blowup due to the powerset construction method. I tried to search but couldn't find an appropriate question regarding ...
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