Part B - Automata Construction
Third part:
Draw the simplest possible (i.e. with fewest number of states) NFA which accepts the following language over the alphabet of {a, e, i, o, u, b, p, r, s, t}: the set of strings which start with a vowel, then two consonants, then 0 or more vowels, followed by the first vowel.
Here the part ‘followed by first vowel’ is not clear? If it is the first vowel (from where the string is started), then DFA/ NFA is not possible as some additional memory required to remember it and we have to go for Pushdown automata.
Last part:
(b) starting state of A is S2
(c) All states of A1 and A3 are final states
Part B - Automata Construction Draw a DFA which accepts the following language over the alphabet...
Draw a DFA which accepts the following language over the alphabet of {0,1}: the set of all strings such that there are no consecutive 0s, and the number of 1s is divisible by 5. Your DFA must handle all intput strings in {0,1}*. Here is a way to approach the problem: First focus only building the DFA which accepts the language: As you build your DFA, label your states with an explanation of what the state actually represents in terms...
Automata Question. Over the alphabet Σ = {0, 1}: 1) Give a DFA, M1, that accepts a Language L1 = {all strings that contain 00} 2) Give a DFA, M2, that accepts a Language L2 = {all strings that end with 01} 3) Give acceptor for L1 intersection L2 4) Give acceptor for L1 - L2
1(a)Draw the state diagram for a DFA for accepting the following language over alphabet {0,1}: {w | the length of w is at least 2 and has the same symbol in its 2nd and last positions} (b)Draw the state diagram for an NFA for accepting the following language over alphabet {0,1} (Use as few states as possible): {w | w is of the form 1*(01 ∪ 10*)*} (c)If A is a language with alphabet Σ, the complement of A is...
1. Construct a Finite Automata over Σ={0,1} that recognizes the language {w | w ∈ {0,1}* contains a number of 0s divisible by four and exactly three 1s} 2. Construct a Finite Automata that recognizes telephone numbers from strings in the alphabet Σ={1,2,3,4,5,6,7,8,9, ,-,(,),*,#,}. Allow the 1 and area code prefixing a phone number to be optional. Allow for the segments of a number to be separated by spaces (denote with a _ character), no separation, or – symbols.
Build deterministic finite automata that accepts the following language over the alphabet Σ = {a, b} L= {all strings that end with b}
Languages to NFA / ε-NFA A) Make an ε-NFA (An Epsilon NFA) for the language L3 = L1L2. Where: L1 = all strings over Σ= {0,1} that end in…001 and L2 = all strings over Σ= {0,1} that contain 010 anywhere in the string...(beginning, middle or end) B) Convert the ε-NFA (Epsilon NFA) from Part A into a regular NFA. C) Convert the NFA From Part B into a DFA.
Question 1: Design a DFA with at most 5 states for the language L1 = {w ∈ {0, 1}∗ | w contains at most one 1 and |w| is odd}. Provide a state diagram for your DFA. Approaching the Solution --since we haven’t really practiced this type of assignment (i.e. had to define our machine based on only having the language given; not the formal 5 tuples), I am providing the steps for how to work through this; you are...
thank you Design an NFA over the alphabet <={0,1,2,3,4,5,6,7,8,9} such that it accepts strings which correspond to a number divisible by 3. Hint: String can be of any length. Look up the rule for divisibility by 3 if you need. Give the formal definition of the automaton and draw its transition diagram.
Draw the simplest possible (i.e. with fewest number of states) NFA which accepts the following language over the alphabet of {a, e, i, o, u, d, m, n, s, t}: the set of strings which start with a consonent, then a vowel, then another consonant, then 1 or 2 vowels, followed by the second consonent (which means that the last letter will be the same as the third letter).
Part A) Construct an NFA (non-deterministic finite automata) for the following language. Part B) Convert the NFA from the part A into a DFA L- E a, b | 3y, z such that yz, y has an odd number of 'b' symbols, and z begins with the string 'aa') (Examples of strings in the language: x = babbaa, and x = abaabbaa. However, x-bbaababaa is not in the language.) L- E a, b | 3y, z such that yz, y...