CS3143: Theory of Automata and Formal Languages Mock Summative Assessment b FA, a FA2 f a, a b b a+b b a t h k a 1. What is the language generated by FA1 & FA2? Find the equivalent RE using the bypass method. 2. Find the intersection of FA1 and FA2. Generate the RE. 3. Check whether FA1 and FA2 are equal. Explain.

Q: Formal Languages and Automata Theory Give context-free grammars that generate the following…

A: Context Free Grammar for a) S -> R1R1R1R  R -> 0R|1R|ϵ     Context Free Grammar for b) S ->…

Q: need to create a basic Non-Determinitsic Finite Automata NFA starts with a symbol and ends with…

A: The regular expression for the language accepted by NFA is 1(0+1)*0 + 0(0+1)*1

Q: Prove that the following grammar is ambiguous:  →   →  + |  → a | b | c

A: Problem with ambiguous grammar is that: the parser get confused which production is to be used to…

Q: Which of the following strings is not generated by the following grammar? S → SaSbS|ε aabb abab…

A: Question. Which of the following strings is not generated by the following grammar? S → SaSbS|ε…

Q: This question is about context-free grammars and parsing, and Turing machines (TM’s).  Question 1)…

A: Consider the following context-free grammar G over the alphabet Σ = {a, b, c}: S → aSb | ε | acSba |…

Q: Hi, need help with automata, please Give the DFAs for the two languages {w| w has exactly two a’s}…

A: Actually, the answer has given below:

Q: ) Find context-free grammars for the following languages (with n ≥ 0, m ≥ 0) a) L = {anbm : 2n ≤ m…

A: Actually, given information is: L = {anbm : 2n ≤ m ≤ 3n}.

Q: Consider the following grammar: S➞ ACB/CbB/Ba A➞ da/BC B➞ g/∈ C➞ h/∈ What is the follow of B?

A: To compute First(A) for all nonterminals A, apply following rules until nothing can be added to any…

Q: 3. Given the following grammar: -> -> p T p -> q r -> t I t Use the method discussed in the…

A: Parser : It is a  generator which takes a grammar as input , generates source code which can parse…

Q: Exercise 2.2.2: What language is generated by the following grammars? In each case justify your…

A:

Q: S→ aS | aSb |X X→ aXa | a Answer the following questions considering the CFG given above i) Draw the…

A: 1) DERIVATION TREE FOR THE STRING aaaa:

Q: THis is question of theory of automata Find the Language defined by following CFG  • S → aB | bA, A…

A: Given CFG is  S → aB | bA, A → a | aS| bAA, B → b| bS| aBB We can derive string from this production…

Q: n, that start & End with “a”, but also accept single “a” part 2: Define RE, IF start with “a” THEN 〖…

A: Given : part 1: Regular expression, that start & End with “a”, but also accept single “a” part…

Q: Prove that the following grammar is ambiguous:   à à + | à a | b | C

A: Below is the answer:

Q: 1. Create a PDA that is equivalent to the following CFG: Context-free grammar Variables: V =…

A:

Q: Answer True or False for the following questions. a) Deterministic Finite Automata (DFA) can be…

A: - Working on the first three problems.

Q: Answer the questions below in a word document and upload the file. a) Convert the following Context…

A:

Q: Show the leftmost reduction of the string w = aaabbbb from the following grammar: R - S|T S - aSb |b…

A: Given Grammar : R -> S / T S -> aSb / b T -> bb / aT String to reduce : w = aaabbbb

Q: Regular grammar, S ⟶⟶ aS | bS |a | bb, will generate the following language L: Group of answer…

A:

Q: Fill the proper words in the blank: (1) Given alphabet E, a language on E is a (2) Given a grammar…

A: Following are the answers for the above mentioned blanks:

Q: (b) What language is generated by the following grammars? In each case justify your answer. i.…

A:

Q: (3) Write the grammars for the following languages. L = {a"b"c' |n2 1,i > 0} L, = {a'b"c" |n > 1, i…

A: 3.

Q: Recall this little grammar again: A→BX y|ɛ

A: I'm not making LL(1) parsing table rather I've used a short trick to find out whether the grammar is…

Q: b) What language is generated by the following grammars? In each case justify your answer. i. S -> 0…

A: Actually, given information is: i . S -> 0 S 1 | 0 1ii. S ->+ S S | - S S | aiii. S ->S ( S…

Q: Construct a regular grammar for the following language on E = {a,b}. L = {a"bm : n 2 3, m > 2}

A: A regular grammar is a four-component mathematical object G = (N,∑, P, S), where. P is a collection…

Q: (b) What language is generated by the following grammars? In each case justify your answer. i.…

A: As per our guidelines we are supposed to answer only one question. Kindly repost other questions as…

Q: Give a regular expression for the following language of kiswahili verbs: Kiswahili verbs = {imba,…

A: using below rules of regular expressions to generate regular expression for given kiswahili verbs:…

Q: S→ aS | aSb|X X → aXa| a Answer the following questions considering the CFG given above. i) Draw the…

A: Answer: i) The derivation tree for the string 'aaaa' as below:

Q: Be the grammar G S→ a | aAB A - DC | bBB В — ВС | С D →c|cD (a). Is the statement L(P) = L(G)…

A: Solution b) Language generated by the given Grammar  G 1) S⇒a2) S⇒aAB⇒aDCB⇒acCB⇒acB⇒acBC…

Q: Subject: THEORY OF AUTOMATA AND LANGUAGES Question 03:      Draw an equivalent DFA for (a* + b*)*

A: The regular expression is similar to (a+b)*

Q: formal languages and computability Which of the listed statements are true for pushdown automata?…

A: Finite Automata:   Finite automata is a type of machine that is used to recognize the patterns in…

Q: Give the DFAs for the two languages {w| w has exactly two a’s} and {w| w has at least two b’s}. i)…

A: As per our policy, we are authorized to answer 1 question. If you want answer of another question.…

Q: n equivalent nondeterministic pushdown automata Detailed answer please. Thank you!

A: NON deterministic Pushdown automata:- It is a 6-tuple (Q, Σ, Γ, δ, q0, F) where Q, Σ, Γ, q0, F area…

Q: a) Consider the following grammar: P → P+Q / Q Q → Q*R / R R → a Eliminate left recursion. b)…

A: in below figure we eliminate the left recursion

Q: ) What is Finite Automata, describe the different types of Finite Automata. et L = { a, b}. Answers…

A: It is defined as a finite number of states is called a Finite Automaton (FA) or Finite State Machine…

Q: a) S0S1 | 01 b) S → + SS SS | a c) SS (S) S € d) S a Sb S b SaS | € e) S → a S + S SS | S*(S)

A: The solution is in step 2:

Q: the language L = { x ∈ [a,b]* | x starts with b, does not contain the substring aa and ends with an…

A: The finite automata of the given language

Q: Prove that the following grammar is ambiguous: → → + | → a | b | c

A: Given :-  Prove that the following grammar is ambiguous: <S> → <A> <A> →…

Q: This question is about context-free grammars and parsing, and Turing machines (TM’s) i) Consider…

A: Rules to Draw parse tree for a string using given grammar: i) all leaf's in parse tree must be…

Q: Using JFLAP, give the state diagram for a DFA that recognizes the following language. A={w€{0, 1}* |…

A: Whenever you are asked for DFA that doesn't contain string, construct DFA that accepts the string…

Q: 1. Consider the following Grammar S- E E – TE' E' → +E |-E | ɛ | F → id | num T - FT' T' → *T | /T |…

A: Ambiguous Grammar : A grammar is ambiguous if we have more than one way of processing any…

Q: (1) Fill the blanks to complete the following sentences that describe the relations between regular…

A: The Answer is

Q: automata

A: DFA: The full form of DFA is Deterministic Finite Automata. It is represented by 5 tuples. They…

Q: Construct a PDA for the following grammar. E → E +T | T T →T × F | F F → (E) | a

A: V = { E, T, F} // Set of Non-Terminal symbols Produces the PDA 6-moves:   #(8== delta)    1. 8(q,…

Q: Generate a string and construct the Push down automata (PDA) for the following language. L=…

A: Given  L={anbmcmdn | n,m>=0}

Q: In the Theory of automata, what is the relationship between the Chomsky hierarchy and Turing thesis…

A: Turing Machine was invented by Alan Turing in 1936 and it is used to accept Recursive Enumerable…

Q: _4. Give simple English language descriptions for the strings generated by the productions following…

A: G is the regular grammar  G= ( V,T,P,S) V- variables, T- terminals, P- productions, S- Starting…

Q: What language does the following grammar accept? S -> ABC A -> aA A -> a B -> bBb B -> bb C -> cCd…

A: Language Grammar: The productions of kind ‘A -> known as’ square measure known as λ productions (…

Q: Workbook Exercise  Draw the diagram of the DFA, which recognizes the entries containing an odd…

A: Dear Student, The final DFA is in the last step to prevent confusion when lines are passing through…