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Questions about finite automata, an elementary automaton model with finite memory. It is equivalent to regular languages and the basis for many more complex models.
2
votes
1
answer
256
views
Method to construct a finite state machine for a finite-size language L
I need to define a method to construct a finite automata for a finite language L (part of my proof for something else).
My idea:
Create $|L|$ accepting states.
For each input string $s$ from $L$, cr …
1
vote
1
answer
366
views
Let M be an $\epsilon$-NFA and let $S\subseteq Q$. Prove $\epsilon (S) = \epsilon (\epsilon ...
Let M be an $\epsilon$-NFA and let $S\subseteq Q$. Prove $\epsilon (S)= \epsilon (\epsilon (S))$.
I would like to prove this by contradiction but I don't know if my idea is correct.
Definitio …
0
votes
1
answer
163
views
Prove $\epsilon(S\cap T)\subseteq S \cap T$
Suppose there are sets $S\subseteq Q, T\subseteq Q$ such that $T=\epsilon (T),S=\epsilon (S)$.
Prove $\epsilon(S\cap T)\subseteq S \cap T$
Definition of $\epsilon$- closure for epsilon NFA i …