1.this question contains two independent part. a)Given two NFA’s M1 and M2, show how you will...
1.this question contains two independent part.
a)Given two NFA’s M1 and M2, show how you will construct an NFA M such that L(M) = L(M1) ∩ L(M2).
b)for the following languages over the alphabet Σ = {a, b}, give a DFA that recognizes that language
L3 consists of strings in which every odd position contains b
Homework Answers
Add Answer to:
1.this question contains two independent part.
a)Given two NFA’s M1 and M2, show how you will...
Automata Question. Over the alphabet Σ = {0, 1}: 1) Give a DFA, M1, that accepts...
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
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...
Let L1 = {ω|ω begins with a 1 and ends with a 0}, L2 = {ω|ω...
Let L1 = {ω|ω begins with a 1 and ends with a 0}, L2 = {ω|ω has
length at least 3 and its third symbol is a 0}, and L3 = {ω| every
odd position of ω is a 1} where L1, L2, and L3 are all languages
over the alphabet {0, 1}. Draw finite automata (may be NFA) for L1,
L2, and L3 and for each of the following (note: L means complement
of L):
Let L w begins...
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...
1. Design an NFA (Not DFA) of the following languages. a) Lw E a, b) lw...
1. Design an NFA (Not DFA) of the following languages. a) Lw E a, b) lw contain substring abbaab) b) L- [w E 10,1,2) lsum of digits in w are divisible by three) c) L-(w E {0,1,2)' |The number is divisible by three} d) The language of all strings in which every a (if there are any) is followed immediately by bb. e) The language of all strings containing both aba and bab as substrings. f L w E 0,1every...
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...
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...
I need to construct a deterministic finite automata, DFA M, such that language of M, L(M),...
I need to construct a deterministic finite automata, DFA M, such that language of M, L(M), is the set of all strings over the alphabet {a,b} in which every substring of length four has at least one b. Note: every substring with length less than four is in this language. For example, aba is in L(M) because there are no substrings of at least 4 so every substring of at least 4 contains at least one b. abaaab is in...
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...
. Terminals: • Any character from the alphabet is a terminal . Epsilon (E) is expressed...
. Terminals: • Any character from the alphabet is a terminal . Epsilon (E) is expressed as: le, leps or lepsilon The empty set is expressed as: lemp or lemptyset • Operations (R is a regular expression) o Union is expressed as RIR o Star as R* o Concatenation as RR o Plus as R+ Problem For the following regular expression: (Elab Over the alphabet: {a,b} Give 2 words that the regular expression recognizes and 3 words that the regular...
Let L1 = {ω|ω begins with a 1 and ends with a 0}, L2 = {ω|ω has
length at least 3 and its third symbol is a 0}, and L3 = {ω| every
odd position of ω is a 1} where L1, L2, and L3 are all languages
over the alphabet {0, 1}. Draw finite automata (may be NFA) for L1,
L2, and L3 and for each of the following (note: L means complement
of L):
Let L w begins...
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...
1. Design an NFA (Not DFA) of the following languages. a) Lw E a, b) lw contain substring abbaab) b) L- [w E 10,1,2) lsum of digits in w are divisible by three) c) L-(w E {0,1,2)' |The number is divisible by three} d) The language of all strings in which every a (if there are any) is followed immediately by bb. e) The language of all strings containing both aba and bab as substrings. f L w E 0,1every...
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...
. Terminals: • Any character from the alphabet is a terminal . Epsilon (E) is expressed as: le, leps or lepsilon The empty set is expressed as: lemp or lemptyset • Operations (R is a regular expression) o Union is expressed as RIR o Star as R* o Concatenation as RR o Plus as R+ Problem For the following regular expression: (Elab Over the alphabet: {a,b} Give 2 words that the regular expression recognizes and 3 words that the regular...
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