Define a Prolog predicate rdup(L,M) to remove duplicates from an ordered list L. The resulting list should be bound to M. Note that M must contain each element of L exactly once and in the same order as in L. You can assume that L is an ordered list.

Q: Assumptions . • Grammar G = (V,T, S, P) where .. •V = {S, A, B} is the set of variables •T = {a,…

A: here we have the conversion of given CFG to CNF, you can the answer in step 2.

Q: Implement a complete class in c ++ code that represents a priority queue. The priority queue must…

A: #include <iostream>#include <queue>using namespace std;   void displaypq(priority_queue…

Q: For each of the languages below, determine whether the language is regular or not. If the language…

A: Here is the solution:-

Q: Write a prolog function, called remove_dup(X,Y), that takes a list X as the input, remove dup(X.Y)…

A: Answer: Prolog Source Code: remove_dub(X,[H|_]) :-     X==H,!.remove_dub(X,[_|Y]) :-…

Q: This exercise is to generate a language and a finite automata to process the language. The language…

A: This exercise is to generate a language and a finite automata to process the language. The language…

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: Assume that we would like to simplify the following Context Free Grammar, G: G = (V,T,S,P) where…

A: Yes, all the fields are correct.

Q: 1. Do a(X,3,Y) and a(b,Y,X) match? Explain. Write a Prolog predicate insert/3 to express inserting…

A: Do a(X,3,Y) and a(b,Y,X) match? Explain. Write a Prolog predicate insert/3 to express inserting an…

Q: e394 Pumping Lemma for Regular Languages Here are three incorrect statements of the Pumping Lemma…

A: Below is the complete solution with explanation in detail for the given questions regarding Pumping…

Q: Assumptions ... • Alphabet . = {a, b} • L₁ = {a"b": n ≥0 An mod 3=0} L2= {abm: n ≥0^m≥ 0^n=m-1} ● =…

A: For the above language, The context free grammar G is shown below: S -&gt; aSbb | aSbbb | ε The…

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: Im trying to program a function in prolog that sees if an element in L1 is in L2. I used the…

A: The prolog list is a data structure that can be used in different cases for non-numeric…

Q: If a function f from A to B is bijection, i.e. it is both and

A: A function is relationship between input and output having condition that for each input there is…

Q: 0. Define the rule echo(LSTO, LST1). This rule describes LST1, which holds all the same elements as…

A: # Importing reduce() functionfrom functools import reduce # Take user input or enter the value of…

Q: Define the non-terminal using regular expression to represent inte- ger (may be positive or…

A: #ifndef MagicEightBall_H#define MagicEightBall_H #define MAX 100#include &lt;string&gt;using…

Q: Consider a grammar for expressions is defined as follows: → = → A | B | C | D → + | * | (…

A: Please refer to the following step for the complete solution to the problem above.

Q: Write a function f1 that takes the root of a binary tree as a parameter and returns the sum of the…

A: Given seventh digit of your I'd is 6 which is an even number So, we have to return the sum of nodes…

Q: the first b. 3.The last symbol of the string is d. 4.Each a is immediately fo

A: Let L be the language over {a, b,c,d} accepting all strings so that: 1.All c’s occur before the…

Q: This is a question from my first Theory of Computing practice homework assignment included as an…

A: Regular language for the set of strings that either contain bbaa or aabb:S-&gt; AB | BAA-&gt;…

Q: Let us have the following regular grammarG. Apply the method of regular equations on conversion…

A: Regular expressions are a powerful tool for describing patterns in strings. They are used in many…

Q: Consider an ADT for the data structure of positive integers called POSITIVE_INTEGER defined over a…

A: Please refer to the following step for the complete solution to the problem above.

Q: Given the following function on lists: def foo : list A → list (list A) | [] := [[]] | (a :: as)…

A: Given: Which of the following properties hold? i) ∀ xs : list A, ∃ ys : list (list A), ys = foo…

Q: Bonus assignment: How to test/find out if two regular expressions are equal with the help of the…

A: A regular expression is a succession of characters that determines a hunt design in text. Normally…

Q: Consider the language L of strings over the alphabet Σ = {a, b} which contain an equal number of a’s…

A: CFG is a formal grammar which is used to generate the all possible strings in given formal…

Q: Implement a complete class in c ++ code that represents a queue. The stack must contain the…

A: Method 1 enQueue operation :  This method makes sure that oldest entered element is always at the…

Q: 3. Use proper abstract list processing functions to do following task: consumes a list of intern…

A: Givendata: Given Contract for abstract functions for list-processing: filter: [X → Boolean] [List-of…

Q: Consider the language L of strings over the alphabet Σ = {a, b} which contain an equal number of a's…

A: By establishing a context-free grammar (CFG), it is possible to demonstrate the context-freeness of…

Q: Design a function that consumes a natural number and produces a list of strings describing that many…

A: Algorithm: seatsInput: n (a natural number)Output: List of strings describing seats at a table1.…

Q: Fill the blank with correct number: If A= {a,b,c} and B = {c,d}, then the set AN B has partitions,…

A: According to the information given:- We have to fill the blank space with its correct partitions on…

Q: Let ANTIPALINDROME be the language of all even-length strings over the alphabet  {a,b}  such that,…

A:

Q: Q.4: let E= {a, b} and the language L = {b a"b a" |nE{1,2,3,... }}. Check whether the language is…

A: The Answer is in Below Steps

Q: Define a common Lisp function Member-2 such that if K is a symbol and X is a list then (member-2 K…

A: Algorithm: Start  Implement a function Member-2 which takes 2 arguments K a symbol and a list X…

Q: Exercise 2 Define a function member of type ''a that member (e, L) is true if and only if e is an…

A: Implementation of the member function: let rec member (e, L) =  match L with  | [] -&gt; false  | x…

Q: Let L be the set of exactly those strings over the alphabet {a, b, c, g} whose last symbol is either…

A: Transition function :  that takes as arguments a state and an input symbol and returns a state.…

Q: term factor Y power atom X NUM $

A: SOLUTION - Term=factor Y Y=*factor|ε Factor=~factor|power Power=atom  X X=**power| ε Atom=NUM…

Q: Create a Finite State Automata for a hex literal (regular expression with the javascript setting)…

A: Given: Create a Finite State Automata for a hex literal that contains underscores. Finite State…

Q: an someone help me with this question? Write a Prolog program sum (List, MinPlusMax) for computing…

A: SOLUTION - (a) CODE - sum(List, MinPlusMax) :-    min_list(List, Min),    max_list(List, Max),…

Q: Consider the statement form = (p → q) ^ (~pV r) ^ (qV ~ r) Use a possibility tree to decide if is…

A: As Clear From the question: A statement form is satisfiable if there is an assignment True/False for…

Q: P01: FN → FN–HEAD   FN–BODY P02: FN–HEAD → TYPE   id   (  PARAM–LIST   ) P03: TYPE → char P04: TYPE…

A: Pushdown Automata is a finite stack of additional memory that allows Pushdown Automata to understand…

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: Define the rule echoN(LST0, LST1, CNT). This rule determines when LST1 consists of only CNT…

A: This rule is crafted to determine when LST1 is composed solely of CNT repetitions of the elements in…

Q: onsider the language consisting of all strings of properly balanced square brackets. The context…

A: Given Grammar Rules : 1. &lt;Goal&gt; ::= &lt; List &gt;2. &lt;List&gt; ::= &lt; Pair &gt; &lt; List…

Q: In this grammar, "S" is the starting symbol, which generates a sentence by combining a noun phrase…

A: Let's first go through the fundamentals of parse trees and context-free grammars. A set of…

Time Complexity

In computer science, the computational complexity that is measured in terms of time is referred to as time complexity that defines how long it takes a computer to execute an algorithm. An algorithm's time complexity is measured by the the amount of time required to execute each statement of code in the algorithm. If a statement is set to execute repetitively, the number of times it will be N multiplied by the time it takes to run that function each time is equal .