Regular Expression From a DFA












4














I am trying to create a finite automate that would accept any strings that have at least to 0s but reject all strings that have consecutive 0s. I have designed a deterministic finite automaton (DFA) for this purpose but am having trouble generating a regex
from it.



DFA Diagram



The checked boxes are accepting states.
Thank you!










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  • See also cs.stackexchange.com/questions/2016/…
    – obscurans
    Dec 1 '18 at 2:48










  • You can simplify the DFA: states start and s0 are equivalent, and states s4 and s6 are equivalent.
    – Peter Taylor
    Dec 6 '18 at 18:48
















4














I am trying to create a finite automate that would accept any strings that have at least to 0s but reject all strings that have consecutive 0s. I have designed a deterministic finite automaton (DFA) for this purpose but am having trouble generating a regex
from it.



DFA Diagram



The checked boxes are accepting states.
Thank you!










share|cite|improve this question
























  • See also cs.stackexchange.com/questions/2016/…
    – obscurans
    Dec 1 '18 at 2:48










  • You can simplify the DFA: states start and s0 are equivalent, and states s4 and s6 are equivalent.
    – Peter Taylor
    Dec 6 '18 at 18:48














4












4








4







I am trying to create a finite automate that would accept any strings that have at least to 0s but reject all strings that have consecutive 0s. I have designed a deterministic finite automaton (DFA) for this purpose but am having trouble generating a regex
from it.



DFA Diagram



The checked boxes are accepting states.
Thank you!










share|cite|improve this question















I am trying to create a finite automate that would accept any strings that have at least to 0s but reject all strings that have consecutive 0s. I have designed a deterministic finite automaton (DFA) for this purpose but am having trouble generating a regex
from it.



DFA Diagram



The checked boxes are accepting states.
Thank you!







discrete-mathematics automata regular-expressions






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share|cite|improve this question













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edited Dec 27 '18 at 9:52









dantopa

6,42932042




6,42932042










asked Dec 1 '18 at 0:49









Gonzalez Rojo

241




241












  • See also cs.stackexchange.com/questions/2016/…
    – obscurans
    Dec 1 '18 at 2:48










  • You can simplify the DFA: states start and s0 are equivalent, and states s4 and s6 are equivalent.
    – Peter Taylor
    Dec 6 '18 at 18:48


















  • See also cs.stackexchange.com/questions/2016/…
    – obscurans
    Dec 1 '18 at 2:48










  • You can simplify the DFA: states start and s0 are equivalent, and states s4 and s6 are equivalent.
    – Peter Taylor
    Dec 6 '18 at 18:48
















See also cs.stackexchange.com/questions/2016/…
– obscurans
Dec 1 '18 at 2:48




See also cs.stackexchange.com/questions/2016/…
– obscurans
Dec 1 '18 at 2:48












You can simplify the DFA: states start and s0 are equivalent, and states s4 and s6 are equivalent.
– Peter Taylor
Dec 6 '18 at 18:48




You can simplify the DFA: states start and s0 are equivalent, and states s4 and s6 are equivalent.
– Peter Taylor
Dec 6 '18 at 18:48










1 Answer
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Consider the regular expression $1^*01^+0(1^+0)^*1^*$.






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    1 Answer
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    1 Answer
    1






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    active

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    active

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    2














    Consider the regular expression $1^*01^+0(1^+0)^*1^*$.






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      2














      Consider the regular expression $1^*01^+0(1^+0)^*1^*$.






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        2






        Consider the regular expression $1^*01^+0(1^+0)^*1^*$.






        share|cite|improve this answer












        Consider the regular expression $1^*01^+0(1^+0)^*1^*$.







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        answered Dec 1 '18 at 1:52









        Joey Kilpatrick

        1,181422




        1,181422






























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