Make a CFG for the language a3nbm(aba)2mbn, where n,m>0 Make a DFA that accepts all words that start with ‘aab’, and then convert the DFA to a CFG using the simple procedure we did in class.
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Question 5: CFG
- Make a CFG for the language a3nbm(aba)2mbn, where n,m>0
- Make a DFA that accepts all words that start with ‘aab’, and then convert the DFA to a CFG using the simple procedure we did in class.
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- 2- Write a regular expression for each of the following languages over {a,b}: • String of a's and b's that begin with a and end with b. • Strings that have at least two a's. • Strings that have an even number of a's. • Strings that do not have two a's in a row. • Strings that do not end with the substring ab.8. Build a DPDA that accepts the language L = {(ab)" (aab)b²" |n20The 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.
- Build a 2PDA that accepts the language: {an+1bn+2cnn>0}.Regular expression to NFA to DFA conversion: Describes the process of taking a unique regular expression, converting that regular expression to an NFA, then converting the NFA into a DFA. Your regular expression must have at minimum two union, two concatenation, and two Kleene star operations. As followed, concatenations of single charaters can be condensed. Your regular expression cannot be a solved problem from any book. You should describe the regular expression with both processes to convert the regular expression to an NFA and the conversion of that NFA into a DFA.Java grammar questions: Find the shortest <synchronized statement>. No derivation required. Give the last string. Can Java files have import statements anywhere? Grammar-justify your response.
- 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 E2Let Cbe the language over {a, b,c, d, e, f} accepting all strings so that: 1.There are precisely two b’s in the string. 2.Every a is immediately followed by an odd number of e’s. 3.Every d is immediately followed by an even number of f’s. 4.e’s and f’s don’t occur except as provided in rules 2 and 3. 5.All a’s occur after the first b. 6.All d’s occur before the second b. 7.In between the two b’s there are exactly twice as many a’s as d’s.HINT: Don’t be intimidated by the number of rules. The way they interact actually helps you simplify the number of cases you have to deal with while constructing this grammar. a. Construct a context-free grammar generating C.Explain how your construction accounts for each rule. b. We could eliminate one rule from Cand make it regular. Which rule would that be, and why would it work? You do not need a formal proof, but you do need an explanation.In this assignment, you will do an implementation of the Huffman Code. If you have the Data Structures book for this class, on pages 415-421 is the theory for encoding a String using the Huffman Code. There is also a PDF of these pages on the class website. Your task is to develop a proof of concept of the Huffman Code and demonstrate it by taking a String and encoding it. The Huffman Code requires knowledge of a few data structure concepts discussed in class: Priority Queues Binary Trees Recursion Arrays and/or Linked Lists In your program, you will demonstrate an understanding of all these concepts by developing your own priority queue, node, binary tree, array and/or linked list, and use of recursion to support the Huffman Code encryption algorithm. Read through the theory of the Huffman Code in the text and then write a program that can take a String and encrypt it. For example, given a String “Hello World”, the program should apply the Huffman Code algorithm on that…
- Given the following: nale(P). female(P). father of (F,C). mother of (M,C). parent of (P,C):- father_of (P, C); mother_of (P, C). grandparent of (G, C): parent_of (G, X), parent of (X, C). Select the lines of code to build the rule for has sister which has one person as a parameter, which returns true if a sister for that person is found. \= means NOT EQUAL | Select ] (Select has sister(x- has sister(X) has sister(X) has sister(X): Select] ( Select) Given the following: male(P). female(P). father of (F,C). mother of (M,C). parent of (P,C):- father of (P, C); mother_of (P, C). grandparent of (G, C):- parent of (G, X), parent of(X, C). Select the lines of code to build the rule for has sister which haş one person as a parameter, which returns true if a sister for that person is found. \= means NOT EQUAL | Select ] Select [Select female(Y). female(X). X\-Y, [Select|Problem D. Find URLsHTML is a language for representing documents designed to be displayed by a web browser. In many browsers, you can see the HTML source code by right-clicking somewhere on the page and clicking “View Page Source”. If you try this on a web page with links to other websites, you’ll notice that the URL of the link is usually formatted in the following way: href="https://some.website.com/subfolder/more_stuff.txt" Write a function find_url(html) that takes in a string of html text that contains exactly one external link URL formatted as above, and returns just the URL string (in the above example, that would be https://some.website.com/subfolder/more_stuff.txt). You can assume that the only place in the string where the substring href=" occurs is right before the URL, and that the next quotation mark after that point denotes the end of the URL. Hints: ● The .find method and string slicing will likely make this easier. ● Remember that in order to use a double quote…Perl language here We are trying to make a smart programming IDE. Help us build a feature which auto-detects the programming language, given the source code. There are only three languages which we are interested in "auto-detecting": Java, C and Python. After this, you will be provided with tests, where you are provided the source code for programs - or partial code snippets, but you do not know which language they are in. For each test, try to detect which language the source code is in. INPUT FORMAT Source code of a program, or a code snippet, which might be in C, Java or Python. OUTPUT FORMAT Just one line containing the name of the Programming language which you have detected: This might be either C or Java or Python. SAMPLE INPUT import java.io.*;public class SquareNum {public static void main(String args[]) throws IOException{System.out.println("This is a small Java Program!");}.