5. Is the set (pp, where p is a prime number below 42) a Context Free Language (CFL)? Is it a regular language? What type would it be if it only accepted primes above 42? Prove it. (This is to say the set of strings in the form of any prime number below 42 concatenated with itself. For example: 33, 2323, etc.)

5. Is the set (pp, where p is a prime number below 42) a Context Free Language (CFL)? Is it a regular language? What type would it be if it only accepted primes above 42? Prove it. (This is to say the set of strings in the form of any prime number below 42 concatenated with itself. For example: 33, 2323, etc.)

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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I need help with my program. It needs to: Developing a language model based on the context-free grammar: Use the context-free grammar to develop a language model that can be used to generate coherent and grammatically correct sentences in American English. Incorporating semantic information into the context-free grammar: Expand the context- free grammar to incorporate semantic information, such as word meaning and context, to generate more meaningful sentences in American English. import java.util.*;import java.util.stream.Collectors;public class CFG { private static Map<String, List<String>> rules; public static void main(String[] args) { rules = new HashMap<>(); initializeGrammarRules(); String sentence = generateSentence("S"); System.out.println(sentence); } private static void initializeGrammarRules() { rules.put("S", Arrays.asList("NP VP")); rules.put("NP", Arrays.asList("Det N", "Det AP N"));…
Show grammar please
The language composed of all strings over the alphabet {a,b} of the form: zero or more a's followed by zero or more b's, i.e., {"", a, b, aa, ab, bb, aaa, aab, abb, bbb, ...}, where "" is the empty string, is a regular language: show why this is. Note that you may use any line of argument on regular languages, e.g., by showing that it can be constructed using the properties ("Regular Language: a formal definition"), or by drawing the finite state automaton (FSA), or giving its description.
Create a context free grammar for each of the followinglanguages.a. L = { a i b j | i < j }b. L = { a i b j ck d l | 0 < j < i, 0 < l < k }c. L = { a i b j ck d l | i = l, j < k }
I. Represent the Context – free grammar of the following language: L = (anbm I n>=0, m>n)
Please the grammar don't provide wrong solution
Can you help me with this problem and can you label the parts as well, I only need help with parts A,B, and C. I need help with question 2.7 but to answer 2.7 you will need question 2.6. question 2.72.7 Give informal English descriptions of PDAs for the languages in Exercise 2.6. question about 2.6 2.6 Give context-free grammars generating the following languages. a. The set of strings over the alphabet {a,b} with more a’s than b’s b. The complement of the language {a n b n | n ≥ 0} c. {w#x| wR is a substring of x for w, x ∈ {0,1} ∗ }
Using Java, write a program that reads as input an arbitrary context-free grammar from a text file and then derives/enumerates five strings from the grammar. The file cfg.txt can be used to test your program. The grammar represented in cfg.txt is the following grammar for non-palindromes (from input alphabet {a,b}): S -> aSa | bSb | XX -> aYb | bYaY -> aY | bY | lambdaThis is formatted in cfg.txt as follows: S aSaS bSbS XX aYbX bYaY aYY bYY *An asterisk is used for lambda. Assume that the first state listed in the input file is the start state. Read the grammar into a map (aka hash or dictionary) where the key is a variable and the value is a list of right-hand sides. If you are using Java, you could use Hashtable by declaring a Hashtable of the following type:Hashtable<String, ArrayList<String>>Do not write the program specific to this grammar in cfg.txt. Further, assume that the test file will have more than three variables, and productions on the right hand side…
Using Java, a program that reads as input an arbitrary context-free grammar from a text file and then derives/enumerates five strings from the grammar. The file cfg.txt can be used to test your program. The grammar represented in cfg.txt is the following grammar for non-palindromes (from input alphabet {a,b}): S -> aSa | bSb | XX -> aYb | bYaY -> aY | bY | lambdaThis is formatted in cfg.txt as follows: S aSaS bSbS XX aYbX bYaY aYY bYY *An asterisk is used for lambda. Assume that the first state listed in the input file is the start state. Read the grammar into a map (aka hash or dictionary) where the key is a variable and the value is a list of right-hand sides. If you are using Java, you could use Hashtable by declaring a Hashtable of the following type:Hashtable<String, ArrayList<String>>Do not write the program specific to this grammar in cfg.txt. Further, assume that the test file will have more than three variables, and productions on the right hand side can…
can you show me a virtual representation of each of the followingg parts not words. Can you help me with this problem and can you label the parts as well, I only need help with parts A,B, and C. I need help with question 2.7 but to answer 2.7 you will need question 2.6. question 2.72.7 Give informal English descriptions of PDAs for the languages in Exercise 2.6. question about 2.6 2.6 Give context-free grammars generating the following languages. a. The set of strings over the alphabet {a,b} with more a’s than b’s b. The complement of the language {a n b n | n ≥ 0} c. {w#x| wR is a substring of x for w, x ∈ {0,1} ∗ }
Please help 8. The known Grammar as follows: S à AX X à or AX | ️(epsilon) A à CY Y à and CY | ️(epsilon) C à not C | (S) | 0 | 1 Question C. Please do a stack implementation for strings: (0 or 1) and 1
Write your program in either C or Java.The Problem Given a grammar in Chomsky Normal Form and several strings, determine whether or not each of the strings given is part of the grammar described. To simplify matters, the alphabet for each problem will be the lowercase letters, and the set of variables will be all capital letters. The start symbol will always be S. Epsilon, the empty string, will be represented by the character ‘@’. Input File Format (chomsky.in) The first line of the input file will contain a single positive integer, n (n < 100), representing the number of grammars that are going to be described in the file. For each grammar, the first line will have a single positive integer, v (v < 27), representing the number of variables. The next v lines will contain the rules for each variable. For each of these lines, the first token on the line will be a positive integer r (r < 10), representing the number rules for the variable described on that line. The…