2. Consider the FUN language, prove the following expression evaluates to 3 with respect to the big-step operational semantics that can handle recursion. let r= 2 in I+1

Q: 3. In the context of the Bellman operator, how does it contribute to the convergence properties of…

A: In the realm of dynamic programming, the Bellman operator stands as a cornerstone, particularly in…

Q: Use the Pumping Lemma to prove that the language L= (a"b2n: n >= 0} is NOT context free.

A:

Q: I need the answer ASAP

A: A npda is one in a which for particular input we have two or more transitions to go to next state.

Q: Recursive Descending subroutine with EBNF rule, using C or Java syntax Type (Recursive-Descent…

A: The complete answer is given below .

Q: QUESTION 9: Pumping lemma with length Use the Pumping Lemma with length to prove that the following…

A: Below is the answer to above question. I hope this will be helpful for you..

Q: B = { x = {a,b,c}* | x is a palindrom.}

A: Proof: Suppose for the sake of contradiction that the language is regular and let M be its…

Q: Build a deterministic FA Ms for the following language Ls= L(Ms) = {x over {a, b}| if x contains…

A: Deterministic Finite Automata(DFA):DFA consists of Q - finite set of states∑ - input symbolq0 –…

Q: Consider the Fibonacci problem (fib) has been implemented using memoization. If fib(8) is called,…

A: I give the answer along with the handwritten recursive tree

Q: 1. Given L₁ = {a, abc, a c) and L₂ = {ab, c ba) are the languages over = {a, b, c), determine L₁ L2…

A: Given :

Q: S is a set of strings over the alphabet {a, b}* recursively defined as: Base case: λ ∈ S, a ∈ S, b…

A: Base case: λ ∈ S, a ∈ S, b ∈ S Recursive rules: If x ∈ S, then Rule 1: axb ∈ S Rule 2: bxa ∈ S

Q: QUESTION 5: Write a recursive-descent parsing procedure for the following CFG - rules, where the…

A: Answer  = recursive - descent parsing Expr -> minus val Expr Expr -> plus val Expr Expr ->…

Q: (1) {w € [a, b]*: w contains at least one instance of aaba, bbb or ababa} Testing strings: €, a, b,…

A: In this question we have to design a NFA design where a language us provided which should have at…

Q: Giventhegrammar B-> BB | (B) | ε 1.Describe the language it generates 2.Show that it is ambiguous

A: 1. The language generated by the given grammar is L={ε, ( ) , (( )) , ( ) ( ), ((( ))) , (( ))((…

Q: Give an dfa that accepts the language L ((a + b)∗b (a + bb)∗).

A: The DFA for the given language L ((a + b)∗b (a + bb)∗) is shown below:

Q: How would you go about showing that recursive languages are closed under union using a constructive…

A: How would you go about showing that recursive languages are closed under union using a constructive…

Q: Not handwritten Show that L = {anbm, n > m} is a deterministic context-free language

A: S --> AB A --> aA | a B --> ab | aBb | ε   Strings generated: { a, aa , aaa,...…

Q: Show that L = {a"b²" : n ≥ 0} is a deterministic context-free language.

A: Given language L={a^nb^2n:n>=0} n a^nb^2n String 0 a^0b^0 epsilon(e) 1…

Q: Exercise 1 Given a representation of natural numbers, and of the addition operation, define the…

A: Given a representation of natural numbers, and of the addition operation, define the operations ofa)…

Q: This problem pertains to strings. Using structural induction, prove that the length of two strings…

A: Answer: Given two string x and y and l is the string length and we have to proof l(x. y)=l(x)+l(y)

Q: Let L be a language and its strings are defined by the following recursive relation. Sn=a…

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

Q: Give a recursive definition for the language STRANGE which is defined over the alphabet Σ = {a, b}…

A: The language STRANGE is defined over the alphabet Σ = {a, b} and encompasses strings with an even…

Q: Generate a CFG which accepts evens a’s. The language set is (a,b). Subject: Theory Of Automata

A: The following is the solution

Q: 2. Do there exist regular languages L and L2 such that (L;UL2) = (Lol)? YES or NO

A: yes

Q: Show that the language L- (a"b*c": n20; kz0) is not regular. Note: Use Pumping lemma

A: We know that the pumping lemma is used as a negativity test to check if the grammar is regular or…

Q: Describe the notion of tail recursion and what distinguishes it from standard recurion. Detail an…

A: Tail recursion:       A function which is recursive is said to be a tail recursion function when the…

Q: abb and bab. Note that the substrings ca

A:

Q: Give a recursive definition for the language L defined over the alphabet E = {a,b} and %3D whose…

A: recursive definition for the given language is  step 1 a, b,ab,ba is in L step 2 ss* is in L , where…

Q: 1. Write a structurally recursive function named (curry exp) that takes one argument, a Racket…

A: Here, we have to write a structurally recursive function named (curry exp) that takes one argument,…

Q: Is the language composed of all strings over the alphabet {a,b} that contain an odd number of a's a…

A: Answer: Yes, Σ = a, b, L=w  no of a's in w are odd; is a regular language.

Q: 7. Find a closed form representation for the function defined recursively by f(1) = 10 and…

A: The recursive function is the function in the code which refers itself to the execution. Recursive…

Q: Give  the left recursion rule in CFG .example What is the significance of left recursive rules?

A: The Answer is in Below step

Q: a. Correctness of dynamic programming algorithm: Usually, a dynamic programming algorithm can be…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: Quiz Instructions and Question: Show and explain/justify your answer and all the steps used to deriv…

A: we will takek a set of regular language and check how they're closed under * operation. closure…

Q: Use the Pumping Lemma with length to prove that the following language is non-regular: L = {a²b" a",…

A: Given language is, L={a2bnan, n>0} Pumping Lemma of regular language states that, if the infinite…

Q: OGiven the language L = {(ba)™, a™b", aa: m,n > 0}, find the regular expression r such that L(r) =…

A: regular expression:The language accepted by finite automata can be easily described by simple…

Q: Show that the following language is decidable by giving a high-level description of a decio L(M) =…

A: ALLDFA = {  | D is a DFA and L(D) = Σ* }   Input: DFA D 1. Find the set of all reachable states from…

Q: (A) Design in JFLAP a simulator of a deterministic finite automaton (DFA) that (only) recognizes the…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Suppose a Prolog database exists that gives information about the parts in an automobile engine.…

A: a. Query for finding all small items that are part of other items: ?small(X) and partof (X, Y))

Q: 4. Given a language L, the language LR is defined as the language consisting of the reverse of all…

A: PALINDROME: A palindrome is a word, number, or sequence of words. when we read that backward or…

Q: Show, formally in terms of DFAs, that if L0 is a regular language (has a DFA) and L1 is a regular…

A: So DFA stands for Deterministic Finite Automata .It can determine the state to which the machine…

Q: Show that the following language is not context free. DO NOT use pumping lemma. {a*b"c"b" |n> k> 0}

A: Closure Property of context free language: Context free languages are closed under concatenation. It…

Q: D = {xcy | x, y = {a,b}* }

A: Conjecture: The language D = {xcy | x, y ∈ {a, b}*} is a regular language.

Q: For each of the following languages L, state whether or not L is regular. Prove your answer. You can…

A: The statement given is:- L = {w {a, b, c}* where w should contain at least two occurrences of the…

Q: 6) Use Rice's Theorem to prove that the language L = { | |L( M)| is infinite } is Not %3D…

A: use rice theorem prove language L=M is finite not recursive