Nfa to dfa conversion questions

05.11.2020 By Taukora

By using our site, you acknowledge that you have read and understand our Cookie PolicyPrivacy Policyand our Terms of Service. The dark mode beta is finally here. Change your preferences any time. Stack Overflow for Teams is a private, secure spot for you and your coworkers to find and share information. The problem is that it doesn't account for the epsilon, because I don't know how to convert when there are epsilon arrows.

Make a table as you would do while transforming an NFA to a DFA, and instead of just checking where that state goes with an input, first, check the where it can go with epsilon transitions then with the input then again with the epsilon transition this is called the epsilon-closure. This way you will have sets of states you will reach with your inputs. The only thing you need to do is to mark any state that can reach a final state using only epsilon transition as final states as well.

Just an example; In your table, you show B has an empty set for the input 0 but it can actually take an epsilon transition to C and take a 0 there so it is actually not an empty set. To account for the epsilon transitions you can do any number of epsilon transitions before and after your read the next symbol. Learn more.

nfa to dfa conversion questions

Ask Question. Asked 5 months ago. Active 5 months ago. Viewed times. Charlie Baker. Charlie Baker Charlie Baker 71 1 1 silver badge 5 5 bronze badges. Yea my bad. I fixed it. Progman: It's not a duplicate. The given NFA is totally different than the other post.All Rights Reserved.

The material on this site can not be reproduced, distributed, transmitted, cached or otherwise used, except with prior written permission of Multiply. Hottest Questions. Previously Viewed. Unanswered Questions. Computer Science. Wiki User To convert an epsilon nfa to a dfa you need to do an intermediate step.

To convert an epsilon nfa to an nfa, first you need to make a transition table for the epsilon nfa. In the transition table, just do not include the epsilons, meaning only transitions to sets of states.

Part 3.9 Previous Year Problem for NFA to DFA Conversion In HINDI Practice question for NFA to DFA

Also remember that you can use epsilon transitions, however an input must be consumed as well to move to another state. As well all states that can be reached only by epsilon transitions become final states.

After you have the resulting transition table for the nfa, you can now make a dfa. All sets of states that are reachable in the nfa become single states in the dfa. Asked in Computer Science What is dfa and nfa?

DFA is acronym for deterministic finite automata and NFA is acronym for non deterministic finite automata.

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In DFA every transition is unique and deterministic. In NFA there can be multiple transitions for an input, that is non deterministic. Every state of DFA always has exactly one exiting transition arrow for each symbol in the alphabet. In NFA a state may have zero, one or many exiting arrow for each alphabet.

It is because for each state in DFA, there is exactly one state that corresponds to each character being read. The transition function for nfa ie delta is multi valued where as for dfa it is single valued. Checking membership is easy with dfa where as it is difficult for nfa 3.

Construction of nfa is very easy where as for dfa it is difficult 4. Space required for dfa is more where for nfa it is less 5.In NFA, when a specific input is given to the current state, the machine goes to multiple states. It can have zero, one or more than one move on a given input symbol.

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On the other hand, in DFA, when a specific input is given to the current state, the machine goes to only one state. DFA has only one move on a given input symbol. Step 3: In Q', find the possible set of states for each input symbol. If this set of states is not in Q', then add it to Q'. Solution: For the given transition diagram we will first construct the transition table. The state [q1, q2] is the final state as well because it contains a final state q2. The transition table for the constructed DFA will be:.

Hence in the DFA, final states are [q1] and [q0, q1]. JavaTpoint offers too many high quality services. Mail us on hr javatpoint. Please mail your requirement at hr javatpoint. Duration: 1 week to 2 week. Automata Tutorial. Spring Boot. Selenium Py. Verbal A. Angular 7. Compiler D. Software E.All Rights Reserved. The material on this site can not be reproduced, distributed, transmitted, cached or otherwise used, except with prior written permission of Multiply.

Hottest Questions. Previously Viewed. Unanswered Questions. Computer Science. Wiki User The prliferation will not give any assurance about a solution, so in order to remove that prliferation and to remove the non-determinism we have to convert the given NFA to DFA which will yields a deterministic result moreover contains a single edge for single input.

Asked in Computer Science How you can convert epsilon nfa to dfa? To convert an epsilon nfa to a dfa you need to do an intermediate step. To convert an epsilon nfa to an nfa, first you need to make a transition table for the epsilon nfa.

In the transition table, just do not include the epsilons, meaning only transitions to sets of states. Also remember that you can use epsilon transitions, however an input must be consumed as well to move to another state.

As well all states that can be reached only by epsilon transitions become final states. After you have the resulting transition table for the nfa, you can now make a dfa. All sets of states that are reachable in the nfa become single states in the dfa. Asked in Computer Science What is dfa and nfa? DFA is acronym for deterministic finite automata and NFA is acronym for non deterministic finite automata.

In DFA every transition is unique and deterministic. In NFA there can be multiple transitions for an input, that is non deterministic. Every state of DFA always has exactly one exiting transition arrow for each symbol in the alphabet. In NFA a state may have zero, one or many exiting arrow for each alphabet. It is because for each state in DFA, there is exactly one state that corresponds to each character being read. The transition function for nfa ie delta is multi valued where as for dfa it is single valued.

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Checking membership is easy with dfa where as it is difficult for nfa 3. Construction of nfa is very easy where as for dfa it is difficult 4. Space required for dfa is more where for nfa it is less 5. Backtracking is allowed in dfa,but it is not possible in every casi in nfa. For every input and output we can constuct dfa machine,but it is not possible to construct an nfa machine for every input and output.

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There is only 1 final state in nfa but there can be more then 1 final state in dfa.By using our site, you acknowledge that you have read and understand our Cookie PolicyPrivacy Policyand our Terms of Service. Computer Science Stack Exchange is a question and answer site for students, researchers and practitioners of computer science.

It only takes a minute to sign up. Minimization of the resulting DFA in the worst case might not reduce the number of states. For more details, I suggest looking into this book. It has a more detailed proof and generally covers these topics in thorough. Sign up to join this community.

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nfa to dfa conversion questions

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The dark mode beta is finally here. Change your preferences any time. Stack Overflow for Teams is a private, secure spot for you and your coworkers to find and share information. It's known and proved that the equivalent DFA of a NFA has at most 2 n states, even though most of the times it will have more or less the same number of states as the NFA. My reason for asking this is to be able to "invent" some NFAs that will certainly produce, without considering minimization, 2 n - 1 states plus the "dead state".

The number of states explodes due to non-determinismwhich is the key to your question. If you take an NFA, where each transition is uniquely determined, i.

Conversion from NFA with ε to DFA

However, once you have a state where two transitions are possible it differs from the DFA. Consider the conversion algorithm and look at what happens if you have two or more transitions with the same label for a state.

This is where you need those new states that correspond to sets of states. So the question comes down to finding out how many of these superset states are actually reachable. Of course you could invent a fancy algorithm for that, but to get the correct number, simply run the normal conversion algorithm and remove unreachable states. The first idea would be to label all transitions the same, however, that doesn't work out too well.

Instead remember that you need to be able to somehow reach all subsets of states with some label each. Now, for every non-deterministic transition where from one state you can end up in x other states, multiply your estimate by x. This may not be precise, as you might double-count. But it should give you an upper bound. The determinization of A N has to remember the previous N-1 letters, effectively you need to know all the positions in that window that were aso that when the string unexpectedly ends, you can say whether there was an a N letters ago.

Add to each state 0, 1, Learn more. Asked 10 years, 3 months ago. Active 4 years, 11 months ago. Viewed 8k times. I took this class 5 years ago. Give an example of an NFA, would you? An NFA is a state machine where, for a given state and a given input token, there is more than one possibility of a transition.These are converted from one to another i. A DFA is directly converted into Regular expression. Below diagram explain about all conversions of Finite Automata conversion.

The main idea behind this conversion to construct a DFA machine in which each state will corresponds to a set of NFA states. Construct a transition table Transaction D. Transaction D simulates in parallel all possible moves N can make on a given string. Push all states in T onto stack. Save my name, email, and website in this browser for the next time I comment.

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nfa to dfa conversion questions

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