Given the following Context Free Grammar, sho derivation for the following strings. = ; -> ->
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- 10. Please write an unambiguous context free grammar CFG of the following: {All strings consisting of unbalanced parenthesis and/or brackets}1. Use the algorithm described in class that takes a CFG and converts it into a CNF (Chomsky Normal Form) grammar that generates the same language as the original grammar, except possibly for the string A, to answer the following question. As part of your answer, you should say which variables are nullable, and you should give the appropriate grammar after each step of the algorithm. There are four steps. Give a CFG (context-free grammar) in CNF (Chomsky Normal Form) that generates the same language, except possibly for the string A, as the following grammar: SAB AB →bAa A → aaB bbDefine denotational semantics for the language of octal (base 8) numerals. Use the definition to find the value of “752”. You must define M_dec as a semantic function that maps syntactic objects written as octal numbers (with no decimal points, i.e., no fractions) to a set of non-negative decimal integer values. For Example, given the octal string “752” then: M_dec(“752”) would return 490 as its equivalent decimal value.
- Question 6 Define the language based on the rules or context free grammar given below a) L1 = {ww | w ∈ {a} ∗ } b) L2 = {ww | w ∈ {a, b} ∗ } c) L3 = {w1w2 | w1 ∈ {a} ∗ and w2 ∈ {b} ∗ } d) L4 = {w | w ∈ {a, b} ∗ and w contains the same number of as and bs} e) L5 = {w | w ∈ {a, b} ∗ , w contains the same number of as and bs, and that number is no more than 128}Consider the following context free grammar in BNF form for simple English sentences: (r1) <sentence> → <article> <noun> <verb> <adverb> (r2) <article> → a (r3) <article> → an (r4) <article> → the (r5) <noun> → apple (r6) <noun> → rose (r7) <noun> → umbrella (r8) <verb> → is (r9) <verb> → appears (r10) <adverb> → here (r11) <adverb> → there Give the derivation of the sentence “the apple is there” by using one or more of the above rules.Assumptions ... Alphabet = {a, b} • L1 = { a"b" : n ≥ 0 ^ n mod 3 = 0} L2 = {anbm : n ≥ 0 ^ m ≥ 0 ^ n = m −1} To do in this exercise ... ⚫ Find a context-free grammar G such that L(G) = L1 L2, the concatenation of languages L1 and L2. ⚫ Save your context-free grammar as a JFLAP.jff file, and submit that .jff file to Canvas as your solution to th is exercise.
- Given the language above, create a context free grammar for LTopic: Compiler Construction Syntax Analysis Show that the grammarA → −AA → A − idA → idis ambiguous by finding a string that has two different syntax trees.Now make two different unambiguous grammars for the same language:a) One where prefix minus binds stronger than infix minus.b) One where infix minus binds stronger than prefix minus.Show the syntax trees using the new grammars for the string you used to prove theoriginal grammar ambiguous.Provide the rules for context-free grammars that generate the following languages. L5 = {aibjck | i, j, k ∈ Znonneg, j 6= i + k}
- Dwayne Johnson has got an assignment from his Professor of TOC. He has the alphabet set Σ = {a, b, (, ), ∪, , ∅}. Dwayne Johnson has to make a context-free grammar which generate all string in Σ which are regular expressions over the set {a, b}. If Dwayne Johnson can do this he will be promoted to the elite section but if he fails he will be demoted. You have to help Dwayne go to elite section by doing this task for him.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 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"));…