Design an NFA with at most 5 states for the language (without epsilon transitions) L2= {w...
Design an NFA with at most 5 states for the language (without epsilon transitions)
L2= {w ∈ {0, 1}∗ | w contains the substring 0101}
- Provide the formal 5 tuples(Q,Σ, δ, q0, F) for the NFA
- Draw/provide a state diagram for your NFA
Provide at least three test casesthat prove your NFA accepts/rejects the strings from the language
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Design an NFA with at most 5 states
for the language (without epsilon transitions)
L2= {w...
Question 1: Design a DFA with at most 5 states for the language L1 = {w...
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...
Any answer that involves a design for a Finite Automaton (DFA or NFA) should contain information...
Any answer that involves a design for a Finite Automaton (DFA or NFA) should contain information about the following five components of the FA (corresponding to the 5-tuple description): i) The set of states Q; ii) the alphabet Σ; iii) the start state; iv) the set of final states F; v) the set of transitions δ, which can be either shown in the form of a state diagram (preferred) or a transition table. You can either present the answer in...
determine if the language is regular, context-free, Turing-decidable, or undecidable. For languages that are regular, give...
determine if the language is regular, context-free, Turing-decidable, or undecidable. For languages that are regular, give a DFA that accepts the language, a regular expression that generates the language, and a maximal list of strings that are pairwise distinguishable with respect to the language. For languages that are context-free but not regular, prove that the language is not regular and either give a context- free grammar that generates the language or a pushdown automaton that accepts the language. You need...
Part B - Automata Construction Draw a DFA which accepts the following language over the alphabet...
Part B - Automata Construction Draw a DFA which accepts the following language over the alphabet of {0,1}: the set of all strings such that the number of 0s is divisible by 2 and the number of 1s is divisible by 5. Your DFA must handle all intput strings in {0,1}*. Here is a methodical way to do this: Figure out all the final states and label each with the shortest string it accepts, work backwards from these states to...
1(a)Draw the state diagram for a DFA for accepting the following language over alphabet {0,1}: {w...
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Just answer the second problem the photo is my answer for first one and need to...
Just answer the second problem the photo is my answer for
first one and need to use in the second problem
all questions. Unless otherwise stated, all the DFAs and 1 /2 1 this homework use Σ-(0, 1 } as the alphabet. (50 point) For i=1, 2, 3, 4 and 5, design NFAs Ni, such that L(M) = Bi, where 1, (a) Bi -[w w has an even number of O's, or, contains exactly two 1's). (b) B2-[w every odd...
UueSLIORS! 1. Find the error in logic in the following statement: We know that a b'...
UueSLIORS! 1. Find the error in logic in the following statement: We know that a b' is a context-free, not regular language. The class of context-free languages are not closed under complement, so its complement is not context free. But we know that its complement is context-free. 2. We have proved that the regular languages are closed under string reversal. Prove here that the context-free languages are closed under string reversal. 3. Part 1: Find an NFA with 3 states...
Answer all questions. Unless otherwise stated, all the DFAs and NFAs in this homework use 2-...
Answer all questions. Unless otherwise stated, all the DFAs and NFAs in this homework use 2- 10,1j as the alphabet. 1. (50 point) For i-1,2 and 3, design NFAs Ni, such that L(N) - B5, where: (a) Bi-{w|w has an even number of O's, or, contains exactly two 1's) (b) ) B2- w every odd position of w is 1 (c) B3 - [w| all strings except the empty string and the string 11) (d) B4- [0j with two states....
1) 2) Give formal descriptions (5-tuples) for the DFAs shown in figure below: 3) Give the...
1)
2) Give formal descriptions (5-tuples) for the DFAs shown in
figure below:
3) Give the state diagrams of DFAs recognizing the following
languages over ? = {0, 1}:
a) LÆ
b) L?
c) {e, 1001}
d) {e, 101, 1001}
e) {w : w has prefix 10}
f) {w : w does not contain the substring
011}
4) Give the state diagrams of DFAs recognizing the following
languages over ? = {0, 1}:
a) {w: |w| ? 5}
b) {w...
Question 1: Every language is regular T/F Question 2: There exists a DFA that has only...
Question 1: Every language is regular T/F Question 2: There exists a DFA that has only one final state T/F Question 3: Let M be a DFA, and define flip(M) as the DFA which is identical to M except you flip that final state. Then for every M, the language L(M)^c (complement) = L( flip (M)). T/F Question 4: Let G be a right linear grammar, and reverse(G)=reverse of G, i.e. if G has a rule A -> w B...
determine if the language is regular, context-free, Turing-decidable, or undecidable. For languages that are regular, give a DFA that accepts the language, a regular expression that generates the language, and a maximal list of strings that are pairwise distinguishable with respect to the language. For languages that are context-free but not regular, prove that the language is not regular and either give a context- free grammar that generates the language or a pushdown automaton that accepts the language. You need...
Just answer the second problem the photo is my answer for
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all questions. Unless otherwise stated, all the DFAs and 1 /2 1 this homework use Σ-(0, 1 } as the alphabet. (50 point) For i=1, 2, 3, 4 and 5, design NFAs Ni, such that L(M) = Bi, where 1, (a) Bi -[w w has an even number of O's, or, contains exactly two 1's). (b) B2-[w every odd...
UueSLIORS! 1. Find the error in logic in the following statement: We know that a b' is a context-free, not regular language. The class of context-free languages are not closed under complement, so its complement is not context free. But we know that its complement is context-free. 2. We have proved that the regular languages are closed under string reversal. Prove here that the context-free languages are closed under string reversal. 3. Part 1: Find an NFA with 3 states...
Answer all questions. Unless otherwise stated, all the DFAs and NFAs in this homework use 2- 10,1j as the alphabet. 1. (50 point) For i-1,2 and 3, design NFAs Ni, such that L(N) - B5, where: (a) Bi-{w|w has an even number of O's, or, contains exactly two 1's) (b) ) B2- w every odd position of w is 1 (c) B3 - [w| all strings except the empty string and the string 11) (d) B4- [0j with two states....
1)
2) Give formal descriptions (5-tuples) for the DFAs shown in
figure below:
3) Give the state diagrams of DFAs recognizing the following
languages over ? = {0, 1}:
a) LÆ
b) L?
c) {e, 1001}
d) {e, 101, 1001}
e) {w : w has prefix 10}
f) {w : w does not contain the substring
011}
4) Give the state diagrams of DFAs recognizing the following
languages over ? = {0, 1}:
a) {w: |w| ? 5}
b) {w...
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