Consider the following context-free grammar G Sasa | bSb laDb | bDa D → aD | bD | E a) Give the formal definition of G. Hint: You must specify and enumerate each component of the formal definition. b) In plain English, describe the language generated by grammar G.

Consider the following context-free grammar G Sasa | bSb laDb | bDa D → aD | bD | E a) Give the formal definition of G. Hint: You must specify and enumerate each component of the formal definition. b) In plain English, describe the language generated by grammar G.

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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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 bb
Please help answer the question. Thank you!
d) Construct a type-3 grammar that derives the L₂ language. (You can use the A- intransitive diagram you found in b.) 5. Let the G, grammar be defined as follows: QILIAH Блязадоля до УТИБАЯ TO G₁VN,VT.P.S> UDAL VN: (S, A, B, CADA ESOSESOE VT: (0,1) P: SOS | 1A A OBAM B➡ OB | 15 | 1 H odmuinsbur2. a) What type of grammar is G₁? b) Construct the FA (finite automaton) model that recognizes the language derived from this grammar and draw the transition diagram.. HOITUD
Given the language above, create a context free grammar for L
A) Write a BNF grammar for the language consisting of strings built only of the letters a and b. The strings may have any number of these letters, but the letter combinations bb must be in each string somewhere, and each string must start with a aa. For example, the strings aaabbabbba, aaaababba, and aababbabb are in the language, while a, bba, ababb, aabaa, and bbaa are not. B) Draw the parse tree for string aabbaaba according to the previous grammar: C) Describe, in complete English sentences and “layman’s terms,” the language defined by the following grammar in BNF (start symbol is <S>):<S> ::= <A>a | b<C> ::= c<A> ::= a<A>a | <C> ::= bb | <C>
Problem 1: Write a regular expression that recognizes the following language over the alphabet {a,b}: Any string containing the letters a and b, where the number of letters is not a multiple of three. (Note that 0 is a multiple of three.) Your regular expression should contain only a and b, and the metacharacters (, ), *, +, ? and |. Problem 2: Write a context free grammar that recognizes language from Problem 1. Your start symbol should be named S.
Consider the following grammar: E--> E+E | E* E | id b) Write an unambiguous grammar for the same language.
Q 2. Give a CFG G that generates all regular expressions on the alphabet Σ = {a,b}. i) Provide the full formal definition of the grammar. Clearly specify the alphabet of your CFG, its terminals, variables, and productions. ii) What is L(G)? Is it regular? It is context-free? Why?
4. Given the language L = {wxwR: w ∈ {a, b}*, x is a fixed terminal symbol}, answer the following questions: a) Write the context-free grammar that generates L b) Construct the pda that accepts L from the grammar of (a) c) Construct the pda that accepts L directly based on the similar skill used in wwR. d) Is this language a deterministic context-free language?
a. Write a BNF grammar for the language consisting of strings built only of the letters a and b. The strings may have any number of these letters, but the letter combinations bb must be in each string somewhere, and each string must start with a aa. For example, the strings aaabbabbba, aaaababba, and aababbabb are in the language, while a, bba, ababb, aabaa, and bbaa are not. b. Draw the parse tree for string aabbaaba according to the previous grammar: c. Describe, in complete English sentences and “layman’s terms,” the language defined by the following grammar in BNF (start symbol is <S> ): <S>::= <A>a|b <C>::= c <A>::= a<A>a|<C> ::= bb|<C>
This is a question from my first Theory of Computing practice homework assignment included as an image. I need help with all three parts (a,b, and c) if possible.
This question is about context-free grammars and parsing, and Turing machines (TM’s). Question 1) Consider the following context-free grammar G over the alphabet Σ = {a, b, c}: S → aSb | ε | acSba | abc Using any of the grammar transformation techniques we saw in this module, construct a CNFgrammar that generates the same language as the grammar G of Question 1.Make sure you include in your answer all individual steps that you followed. Please help me with this question :)