Conversion of NFA to DFA (Example 1)
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- เผยแพร่เมื่อ 5 ก.ย. 2024
- TOC: Problem Number 1 on Conversion of Non-deterministic Finite Automata (NFA) to Deterministic Finite Automata (DFA).
Topics discussed:
This lecture shows how to convert an NFA that accepts all binary strings over (0,1) that end with '1' to its equivalent DFA using Subset Construction Method.
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Thank you! I have my exams in a few days and was having a hard time wrapping my head around this because every other guide uses random unnecessary symbols and all. Thank you for making it so simple and to-the-point!
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My lectures and notes are a mind numbing mess of symbols. Thank you for explaining this in simple, regular language!
Best explanation ever.. keep going, when I encounter any difficulty, I immediately go for your videos
It was very helpful. Your calm manner of your instructing is very effective.
I could not sleep for 2 days watched 5min of this video and fell asleep... Thanks for this... nice explaination.. Thnks for my sleep 💟
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This is the best lecture I've heard so far.Thank you so much sir🙏🙏🙏
It´s correct. I have this exact example in my book. Point is NFA simply "know" when to move to the final state. Book however noted AB as B again.
It doesn't simply "know" when to move to the final state but rather when it faces a situation where it must chose to go to 2 different states, it branches out into 2 branches and moves forward in both directions and so on, but when one branch reaches Final state, the rest will be abandoned and it will be considered as "accepted".
That's why in NFA it is said that "If there is any way to run the machine that ends in any set of states out of which at least one state is a final state, then the NFA 'accepts' ".
Although this is the theoretical explanation behind it, it cannot be implemented as is without the use of some other ways and finally representing the same in DFA form.
thank you very much for having subtitles enabled. i have a lot easier of a time processing speech when i have a visual aspect to go along with it, so the subtitles help a lot. the tutorial's very clear and to the point, and i'm able to use it to get ahead on my homework early. thank you.
Please take some complex example with states more than 4 and explain those so that we can clearly understand the concepts with such complex example since simple NFA are easier to convert to DFA than that of complex NFA
In the transition table for DFA it seems you should not put the {...} because the image of the transition function is Q, not P(Q) for DFA. Doing that makes more intuitive why you need to create the combined state AB \in Q instead of using {A, B} \in P(Q) from the NFA.
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One day before the exam here. Thank you so much for saving us(students)
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25 minutes before exam, thank you
How did you determine that AB is a final state?
For future Reference, In original NFA, B was final state, therfore any states with B in dfa is final state
6:50 why does he say "ab will be my final state" twice instead of actually explaining why it is the final state?
I have absent for this tutorial,but I have understood the concept.Tq for helping me,the best way of teaching tqsm🙏
same here mate
bhai kitna easly samjhaya hai yaar
Sir I hope your the great teacher .. thank you sir ...
How is AB decided as final state?
As we can see B is the final state in NFA , so all the combinations with B in it , becomes the Final State in the DFA
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these are killer tutorials :)
5:37 please share that video of that union operation video.
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but in the DFA we can take the state C for the null state .......?
need reply pls
Thank You sir
Thank you. Excellent presentation.
how do we know that AB is the final state
there can be more states in the transition table
Happy Teachers day sir
Why will we take AB as a final State in case of dfa?
Suppose in NFA, X is the final state.
Now, after converting to DFA, from state transition table, all state that has X in them will be final state in DFA.
Eg: In DFA Transition table, states are: A, B, AX, CX, ACX
Then AX, CX, ACX all will be final states.
@@supersakib62thanks for your valuable explanation ❤️
meeku naa hrudaya poorvaka namaskaralu guru gaaru
Like several commenters, I am confused as to why the DFA table features "AB" instead of "B?" Is this just a naming convention or is there a deeper principle here? In what way would it change the meaning of the DFA table if I used "B" instead of "AB?"
On input 1, it can either choose to stay at A or move on to B as shown in the diagram.
@@successsimplified3654 it would have been help if u could mention it here
Why have u not taken dead configuration as dead state here as in previous example ?
Plz explain sir !
6:57 how can you say that 'AB' is our final state.
Because in AB, we have the final state B so AB is final state ..
Sir why should we don't put 0,1 in the final stage
A getting input 0 will stay in A and A getting input 1 goes to B. B getting input 0 gets back to A and B getting input 1 stays in B. Can't this be done for DFA.
Thanks a lot sir...
Why didn't we mention B transation state in the transaction table
beacuse state B is not reachable from previous states
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sir
Thank you, sir!!
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Before these videos student's grades are F, after that videos all of A s.
Thank you sir😊
I like how the videos are bite sized
Just chunks of 5-10 minute videos
why AB ? can't it be B ?
thank you so much
good lecture
Brilliant video
AB on input 0 - AF
AB on input 1 should give you ABF (AB and a failure state because has no other transitions on state B)
Then AF on 0 - AF
AF on 1 - ABF
ABF on 0 - AF
ABF on 1 - ABF
However, I will admit that including the failure states may not be necessary and some professors do not include them. It comes down to preference and acceptable practices for your class.
sir I have a small doubt why was dead state not introduced here?
sir, why ab is finish state?
Thankyou sir
if something is supposed to end in 1 like the first example, it should accept something like "011111" as well as just "01" no? like the wording of these examples in almost all of these videos is so... wrong and vague at times that it makes me do it "incorrectly" based on his interpretation of the example.
it would be much more clear if he said it accepts "the set of all strings over (0, 1) that ends in ONE '1'" but he doesn't say that, it just says ending in 1, which i interpret to mean any 0*1*, or any number of 0s and 1s assuming that it still ends in 1.
also doesn't this NFA not work if it gets a string like '0101'? THAT ends in a 1, but it isn't accepted because when it gets to the 2nd 0, it goes to phi and then can't get back to the accept state. whereas the DFA WILL accept '0101'.
wait, if state B in NFA get's 0 again, then it goes back to A right? why is it empty state?
Big Thank U
Thanks man!
I have a doubt I took three states for NFA..
(A)--1,0--(B)--1---((C)) (Here C is my final state )..
How to I convert it to DFA...!
Syntactically, is {AB} the same as {A∪B}?
if u cant directly design the DFA so first design NFA then convert it/ *SMORT*/
Very well explained. But repetitive examples again and again. It would be nicer if you have different problems.
Good
Thanks
What does AB state represents
Thankyou🙏🙏🙏🙏🙏
subset contruction method
in NFA B on getting input 1 can go to B?
Same Doubt
No, as for A we have considered that case, that is if any 0 or 1 comes before the last 1 it stays in state A itself.
@@prateeksengar6634 yeah, point
Thank u sr
Hello! So when we need to design a DFA do we always first design NFA and then convert it to DFA?
No, you can design DFA directly.
wont AB also be the initial state ?
which accepts string that ends with b length less than 2
Nice
what does phi Φ mean the context of union and concatenation? is it equivalent to the null set Ø in set theory?
Yes, it’s the null state which is an element of the superset of Sigma
great
In the example in dfa can we write state AB as B
It could lead to confusion
sir,why can't we give 1 to b its also true know then why can't we do so pls reply sir
those cases will be covered since we also input 1 to A
why there is no dead trap in converted dfa?
what happened to b?
In NFA when B get's an input of 1 doesn't it have to stay in B instead of going into the null state.
No, since B checks for the last character. There's nothing after the last character, so anything after that goes to death configuration.
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Please tell the acceptance of these NFA and DFA .. as you asked in assignment.. I can't find the answer
The reason why B is not in the DFA table is that there is no way B is connected to A or AB. Had B been connected to AB or A, it would be shown in the state table. Don't make the assumption that all states from NFA are to be shown in the DFA State transition Table and Diagram!!! That assumption of yours is wrong. I agree he should have explained it properly, but he didn't!
chill, he explained everything perfect.
I actually didn’t get why until @JOSEPH Blessingh said something. Thanks
how to determine a final state in converted dfa when we got new states
Every state which contains final state of NFA is stated as final state for dfa
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how AB will be final state?How do i know?
A bit late but for anyone new: in the NFA, B is the final state. We say that a state or set of states is final if ONE of the members is final. AB contains the B, hence it is final.
Can I have three State?Does it matter?
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every explanation is really good....but your examples are really boring....
just speed it up to x1.25 brotha
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it's wrong
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for subset construction i don't think he is necessarily wrong, but he did cut out a few steps. from what i've read on sub-set construction method: you create a powerset of the set of states Q and then, starting from the start state, map out all the reachable states and reduce.
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This gentlemen is mostly correct in that it partially wrong.
AB on input 0 - AF
AB on input 1 should give you ABF (AB and a failure state because has no other transitions on state B)
Then
AF on 0 - AF
AF on 1 - ABF
ABF on 0 - AF
ABF on 1 - ABF
However, I will admit that including the failure states may not be necessary and some professors do not include them. It comes down to preference and acceptable practices for your class.
thank you so much