We define the following language: ADPA = {(M, w): M is a deterministic pushdown automaton that accepts the string w} Keep in mind that (M, w) denotes the binary string that forms an encoding of the pushdown automaton M and the string that in minor ng innut to M Ruou that the in dogidobla

Q: Find a pushdown automaton for the following language: All strings over {0, 1} with the same number…

A: Approach used: Push 1/0 into the stack. If the top of the stack is opposite number then pop.…

Q: Fina the S-invariants P2 P1 t3 ts t2 P3 P4 t4 ps

A: So first of all carry out the transformation. So we reflect the shape in the mirror line x equals.…

Q: Using the same principle, design an automaton that accepts binary numbers divisible by 5.

A: Solution for Question 3 Finite Automata   Finite automata are mathematical models of machines which…

Q: Consider the following languages over Σ = {0,1} for L2 is the language of all strings that do not…

A: Defined over the alphabet Σ = {0,1}, language L2 is made up of strings devoid of the pattern "00".…

Q: Closure under prefix operator. Prefix operator is defined as: prefix(w E E*) = {w1 .. wk| 0< k <…

A: Closure Under Prefix Operator. Prefix Operator Is Defined As: Prefix(W E **) = {W1 ... Wkl 03 K &lt;…

Q: Lonsider the foiIOWing two automata b b. b. q1 90 q1 A B 1- Both A and B are NFA

A: Both NFA and DFA are finite automata. The only difference is that, in DFA transition is defined for…

Q: (c) Write the paths representing parsing of the following input by the automato depicted below.…

A: As per our guidelines, we are supposed to answer one question and if subparts are available then 3…

Q: Let B be the language defined as follows: B = { www | we (a, b}"} Let p be a positive integer and…

A: Below is the answer with reason:

Q: Suppose that alphabet E = : {a, b} and that L = { w E E* : w = am b" a" bm and m > 0 and n >0} is a…

A: given a language and we have to state that weather the language is context free or not..  to check…

Q: Push Down Automata Let L = {a"b?n : n 2 1}. Design a Push Down Automata that will accept L.

A: Given language L={a3nb2n :n&gt;=1} So n=1,2,3... then  L={a3b2,a6b4,a9b6,...}…

Q: Prove that A is decidable

A: It is decidable So, we're given an encoding ⟨D⟩⟨D⟩ of a DFA DD, and we want to decide whether…

Q: Construct a DFA that recognizes the language over the alphabet {0, 1} of all strings where the…

A: The given language's DFA is below: DFA , that acknowledge the language over the alphabet {0, 1} of…

Q: If L is the set of all strings over Σ = {a,b), which has the form xby, where x is any string whose…

A: answer starts from step 2

Q: Consider the decidable language ALLNFA= {IN is a NFA and N accepts all strings over }. Construct the…

A: Decidable  Some Turing machines never go into an infinite loop, they are always in halt. Turing…

Q: Give regular expressions that describe the following languages containing the set of all strings…

A: A.) { w | w a word in which 3rd symbol from RHS is ‘a’ and 2nd symbol is 'b' }. aaa , aab , aaab ,…

Q: Prove that the following language is regular by constructing a DFA that accepts it: L = {w € {!,O}*…

A: It is given the string will be of form, w = vw'v where |w'| = 2 and |v| = 3. So the total length of…

Q: 2. Prove that the following language is not context free using the pumping lemma for context free…

A: Solution for following question -   Pumping Lemma for CFL states that for any Context Free Language…

Q: Let L be the language defined by the following regular expression 0(0 | 1)∗1(0 | 1)∗ Write 3…

A: The regular phrase 0(0 | 1)*1(0 | 1)* defines the language L. A group of strings with particular…

Q: a) Prove that the following language is NOT a CFL using the CFL pumping lemma. L = { 0m1=0m |n >m}…

A: Solution:

Q: Let Σ be a non-empty alphabet and LCE* be a context-free language. Which of the following languages…

A: reverse_1(L): Given a language L ⊆ Σ*, reverse_1(L) = {xy : ∃x, y ∈ Σ*, x ∈ L and yR ∈…

Q: A language L is called slithy if it contains at least two strings and has the following property:…

A: The answer to the question is given below:

Q: In Haskell Language write matchEmpty, which determines whether the language for a regular --…

A: The provided Haskell code implements a solution to the problem of determining whether the language…

Q: Draw a deterministic finite automaton (DFA) that recognizes the language consisting of strings over…

A: Solution: DFA that except exactly two a's (which not be consecutive) and any number of b's or…

Q: Minimum number of states in a DFA that accepts the language L= {w| w has an even number of a's and…

A: Introduction :

Q: Exercise4: Consider the language L on = {0,1} with L= {w such that w starts with 1and ends with 00}…

A:

Q: consider a PDA M ({g-91-923(a,c},{a.Z,},8,9 Z.lq;}) shown in below figure. Check the acceptability…

A: The Answer is

Q: Let E be the alphabet {a,b}. Let L be the language described by E* – (e|E*b)aa(e|b£*), where the…

A:

Q: Let S={0,1,2,3,...,9,-,=} and SUB = {x-y=z | x,y,z are unsigned integers, and z is the difference of…

A:

Q: Give a NFA M3 that accepts the language L3 = {w | w e {a,b}* and w 4 {b'a® | i, j > 0}}. W E

A: Designed a NFA M3 for the given language L3