8. {w| w contains the substring 0101} U {w| w does not contain the substring 110} List the first 5 strings in the language: List the first 5 strings that are not in the language:

Q: Make your own own regular expression. Regular languages require that your phrase include all three…

A:

Q: Is it possible to make CFG for infix and postfix expression using derivation tree??  a. Yes  b. No…

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Q: 0, 90, F ) De given by the stat 1 1

A: Hey there, I am writing the required solution of the above stated question.Please do find the…

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Q: Question 4. Consider the language L over the alphabet (a, b, c, d } such that L = {abcd":n> 0, m>0}.…

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Q: Transform the grammar S → aSaaA|A, A → abA|bb into Chomsky normal form.

A: For solving your problem , first of all we will discuss about  algorithm to convert grammar into…

Q: Prove or disprove the following: (a) For any language L, L* must be regular. (b) The union of…

A: Answer: We have prove which language is regular or not so we will see in the more details with the…

Q: The set of DCFLs is closed under the operation of complement, as discussed in Section 6.2. Under…

A: DCFL is closed under  Inverse Substitution, Regular Union, Regular Intersection, Regular Difference

Q: What is the number of states required in minimal DFA to accept the strings of a regular language…

A:

Q: Make your own own regular expression. Regular languages require that your phrase include all three…

A: Kleene's Theorem states that the equivalence: Of the fоllоwing three statements lаnguаge ассepted by…

Q: Convert the following grammar to Chomsky Normal Form S-baAB A→BAB 2 B→BAA|A|

A: The solution is written in step by step process.

Q: Define the following operation, called BUD, on languages: BUD(X,Y) = {w | w EX and w £Y} Prove that…

A: Answer: I have given answered in the handwritten format in brief explanation

Q: For each of the following pairs of representations of regular languages, prove that they define…

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Q: Consider the problem of determining whether a DFA accepts strings containing an equal number of 0s…

A: Answer: We need to convert the problem into the language and also we will check it is decidable or…

Q: Consider the grammar: S- AaAb | BbBa A- E B -. E Compute FIRST and FOLLOW for all nonterminals. Give…

A: Given Grammer: S→AaAb | BbBa A→E B→E

Q: MODAL LOGIC ONLY PLEASE Give a formal derivation in KT showing that: KTEA→ OA

A: The flavor of (classical) modal logic called S4S4 is (classical) propositional logic equipped with a…

Q: Give a grammar in Chomsky's Normal Form for the following CFG. S → (S,S) | X X → YX | Y Y → a | ∈

A: ANSWER:-

Q: Consider the following CFG’s. Prove they are ambiguous with the help of derivation as well as parse…

A: Given: S à AB | CD A à a A b | Ɛ B à d B | Ɛ C à a C | Ɛ D à b D d | Ɛ Left most derivation:S…

Q: Draw a DFA and give the rules for a linear CFG that generates the languag vith all strings over {a,…

A:

Q: Using pumping lemma Show that language is not context free  a2nnbnncn | n€N

A: See below steps for handwritten solution.

Q: Show that D = {l*|n >0} is nonregular.

A: Given : Language D = {1n^2 | n>= 0} To prove : Proving D is not regular using Pumping Lemma.

Q: Show how a arbitrary regular expression can by systematically turned into a regular grammar. In…

A: Given: Show how a arbitrary regular expression can by systematically turned into a regular grammar.…

Q: Write an example of each of the following: disjunction resolution generalization constructive

A: Disjunction is a Boolean logic which is also called OR logic in which two statements are taken and…

Q: Prove that the following grammar of arithmetic expression is ambiguous.   EE+EE*E(E)|(id)

A: Prove that the following grammar of arithmetic expression is ambiguous.   EE+EE*E(E)|(id)

Q: Consider a First-Order Logic (FOL) language L with two unary predicate symbols P and Q, one unary…

A: Answer: The interpretation <D, I> is not a model of the language L.   To show that <D,…

Q: Show that the language is not context-free. L = {an-1bncn+1: n ≥ 1}

A: Below I have provided the handwritten solution to the given question

Q: Show that the 27. Let G₁ and G₂ be two regular grammars. Show how one can derive regular grammars…

A: Grammar in theory of computation is a finite set of formal rules that are generating syntactically…

Q: Let L1 = {w | w contains any number of 0s and exactly one 1} and L2 = {w | w starts with 0 or ends…

A: DFA should have one of 1 DFA should have at least one 0 This DFA should accept the strings such as…

Q: Let E = {a, b}. Consider the language that contains all strings with no more than one 'a'. Draw an…

A: Defined the given language to NFA, DFA, regular expression, and right linear grammar

Q: Given L1 = {a, abc, a2c3} and L2 = {ab, c2ba} are the languages over ∑ = {a, b, c}, determine L1L2…

A: Answer the above question are as follows

Q: Please construct an NFA for the following

A: From the given DFA, we can see that DFA accepts all string that ends with 0. Thus the regular…

Q: 91 1 nstruct an NFA that accepts the language L(A), the language of A.

A: For the given Dfa lets construct its equivalent Nfa.

Q: Solve Regular expression to epsilon-NFA problem For the following regular expression: a(aba b)*(ble)…

A: A regular expression is a concise way to describe patterns or sets of strings.An epsilon-NFA…

Q: Given the language L = {bbma"a, (ab)", aa: n,m > 0 and h 2 1 }, find the regular expression r such…

A: The regular expression of the given language

Q: For each of the following language Li , give a formal definition OR a state diagram of a DFA Mi…

A: DFA is also known deterministic finite automata.

Q: Convert the following grammar into Chomsky Normal Form, S→ aBlbA A → bAAlaSla B→aBB|bS|b.

A: As start symbol S appears on the RHS, we will create a new production rule S0->S. Therefore, the…

Q: Find dfa's for the following language on Σ = {a, b} L={w : |w| mod 3 = 0 ,|w| ≠ 3 } SHOW DIAGRAM

A: To create a deterministic finite automaton (DFA) for the language L = {w : |w| mod 3 = 0, |w| ≠ 3}…