Show that the language L = {a"b"+k : n > 0, k > 1} U {a"+*g" :n > 0, k > 3} is not regular.
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- 2. A piece of declaration code in C programming language is as follows: typedef struct { int a, b; } CELL, *PCELL; CELL foo[100]; PCELL bar ( int x, CELL y ); Write the type expression for foo and bar. 3. Write an SDT for the following grammar, which can perform type checking. The type of S is the valid type of its body. S -> id := E | if E then S | while E do S | S; S6. Haskell function show (show:: (BST a)) -> String) is defined by a Haskell deriving Show clause and it operates as follows. instance Show a => Show (BST a) where show Nil = "Nil" show (Node x Nil Nil) = "Node " ++ (show x) ++ " Nil Nil" show (Node x Nil right) = "Node " ++ (show x) ++ " Nil (" ++ (show right) ++ ")" show (Node x left Nil) = "Node " ++ (show x) ++ " (" ++ (show left) ++ ") Nil" show (Node x left right) = "Node " ++ (show x) ++" (" ++ (show left) ++ ") (" ++ (show right) ++ ")" (i) Explain the recursion of function show in general BST terms. (ii) Assume that function show is applied to a BST of height 2 containing strings consisting of single letters a, b, c, d, e, f, g inside its nodes (a BST respecting lexicographic ordering). Write down the string constituting the outcome of its operation.4. A={3,4}, B={4,5}. An B= AUB= A-B= A OB= AXB=
- Let L = { w | w cannot be written as st#ts with s, t {a, b}* }. Show that L is not regular.Q: Use recursive definition for the following languages Define the language L, having even number of a’s and even number of b’s. Define the language L, in which the a’s appear tripled means a’s appears in chunk of 3, 6,… Define the language L, in which all words contain only 2 b’s but any number of a’sIN C LANGUAGE I HAD AN ERROR. URGENT!! struct Graph* createGraph(int V, int E){ struct Graph* graph = new Graph; graph->V = V; graph->E = E; graph->edge = new Edge[E]; return graph;} // A structure to represent a subset for union-findstruct subset { int parent; int rank;}; // A utility function to find set of an element i// (uses path compression technique)int find(struct subset subsets[], int i){ // find root and make root as parent of i // (path compression) if (subsets[i].parent != i) subsets[i].parent = find(subsets, subsets[i].parent); return subsets[i].parent;} // A function that does the union of two sets of x and yvoid Union(struct subset subsets[], int x, int y){ int xroot = find(subsets, x); int yroot = find(subsets, y); // Attach smaller rank tree under root of high // rank tree (Union by Rank) if…
- In Haskell Language write matchEmpty, which determines whether the language for a regular-- expression includes the empty string.matchEmpty :: RE symbol -> BoolmatchEmpty = ?-- Note that the type signature does not restrict symbol to types with-- equality testing, so we cannot use match or match' to check whether the-- empty string is allowed.---- matchEmpty r = match r [] -- type error---- Similarly, we cannot use generate' and check whether the first string-- it provides is the empty string.---- Finally, while generate has the proper type, we cannot use it to write a-- function that always terminates, as we cannot conclude that the empty-- string is not present until we have examined every string.---- *HW3> matchEmpty (getRE "e")-- True-- *HW3> matchEmpty (getRE "abc*")-- False-- *HW3> matchEmpty (getRE "a*")-- True-- *HW3> matchEmpty (getRE "0")-- False-- *HW3> matchEmpty (getRE "0*")-- True NOTE: Above are a few examples of what the output will look like. All…Discuss briefly about type conversions. What is coercion? The grammar for expression is given below, evaluate the semantic rules for coercion from integer to real E---> num. E---->idE---> num.num. E----> E1 or E2#include <bits/stdc++.h>using namespace std;#define numVl 3 struct thNde { thNde* parent; int mat[numVl][numVl]; int x, y; int cost; int level;}; int thPrntMtrx(int mat[numVl][numVl]) { for (int q = 0; q < numVl; q++) { for (int j = 0; j < numVl; j++) printf("%d ", mat[q][j]); printf("\n"); }} thNde* newNode(int mat[numVl][numVl], int x, int y, int newX, int newY, int level, thNde* parent) { thNde* node = new thNde; node->parent = parent; memcpy(node->mat, mat, sizeof node->mat); swap(node->mat[x][y], node->mat[newX][newY]); node->cost = INT_MAX; node->level = level; node->x = newX; node->y = newY; return node;} int row[] = { 1, 0, -1, 0 };int col[] = { 0, -1, 0, 1 }; int calculateCost(int starting[numVl][numVl], int resltng[numVl][numVl]) { int count = 0; for (int q = 0; q < numVl; q++) for (int j = 0; j < numVl; j++) if (starting[q][j] && starting[q][j] != resltng[q][j]) count++; return count;} int isSafe(int x, int y) {…
- Draw memory map for the following segment of program struct rational { int num; int den; struct rational r[3], *rp; rp = &r[0]; rp->num = 5; rp->den = 7; rp++; rp->num = 3; rp->den =6: rp++; rp->num = 6; rp->den = 13; %3D For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIUS Paragraph Arial 10ptPlease solve usnig c++ programming language. Number Converter Program as described in the UML has the following functionality.1. Read a number from the user and find its base. If number is exceeding the limit of 16-bits,ask user to re-enter the number. Use parameterized constructor Conversion(char *) toinitialize the data member.int FindBase(char []);There are a few assumptions. i) If all digits of a number are 0 or 1, the number is binary. For example, 1010 will beconsidered a Binary number only.ii) A hexa-decimal number must have letter A, B, C, D, E or F. Otherwise the number willnot be considered a hexa-decimal.iii) Decimal number must have minimum one digit greater than 7. Otherwise, the numbercan be considered as Octal if it does not meet the criteria in point no. i and ii.2. Converting the number to Binary if the number is not Binary.char * ToBinary(char *);3. Converting the number to Octal if the number is not Octal.char * ToOctal(char *);4. Converting the number to…Question No.1: You are supposed to implement lexer (lexical Analysis). Role of lexer is to remove extra spaces, comments from given code. It completely scans the code and generates tokens from source code. You are supposed to implement lexer to generate token list. C++ language has following tokens. Keywords Identifiers Constants • Strings • Operator You can use C++ language for implementation Note: Paste C++ Code and demo screen shots.