(1) Describe the difference between a regular grammar and a context-free grammar from their definitions focusing on the forms of productions. (2) Explain the definitions and relations among the language, grammar, and automata for context- free language. (3) Given a context-free grammar, why we need to remove the productions in form of A -> B or A - >1. to get an equivalent one?

(1) Describe the difference between a regular grammar and a context-free grammar from their definitions focusing on the forms of productions. (2) Explain the definitions and relations among the language, grammar, and automata for context- free language. (3) Given a context-free grammar, why we need to remove the productions in form of A -> B or A - >1. to get an equivalent one?

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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Let's consider a grammar for expressions is defined as follows.<assign> -> <id> = <expr><id> -> A | B | C | D<expr> -> <id> + <expr> | <id> * <expr> | ( <expr> ) | <id>1. Is this grammar unambiguous? Can you explain in detail?2. How can I design a PDA (PushDown Automata) M that recognizes the BNF (i.e. a metasyntax notation for CFG)?
Question 13) Consider the following context-free grammar G over the alphabet Σ = {a, b, c}, where S is thestart variable:S → aSb | ε | acSbaUsing the rules of the grammar G, give a derivation for the word acabba.
Please offer an example of "Semantic Augmentation" as well as an explanation of the ideas of CFG (Context Free Grammar) so that I may better comprehend them.
Please offer an example of "Semantic augmentation" and an explanation of the CFG (Context Free Grammar) rules in order to better grasp them.
Problem 3 Design context-free grammars for the following languages: a) The set {a^i b^j c^k| i does not equal j or j does not equal k}, that is, the set of strings of a’s followed by b’s followed by c’s, such that there are either a different number of a’s and b’s different number of b’s and c’s, or both. b) The set of strings over 0 and 1 with “even” length.
Complete the proof of Theorem 6.4. Theorem 6.4: Let G = (V, T, S, P) be any context-free grammar without λ-productions. Then there exists a context-free grammar bG = (bV , b T, S, b P) that does not have any unit-productions and that is equivalent to G. 1
Need help in Automata please, Using the rule of the above grammar, using leftmost derivation (or using a rightmost derivation) show step by step the partial derivation trees, yield for each of the sentential forms in deriving aababa
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?
QUESTION 4 : Consider G be a Context Free Grammar for which the production Rules are given below:S -> aB|bAA -> a|aS|bAAB -> b|bS|aBBDrive the string aaabbabbba using the above grammar by using Left Most Derivation.
For the implementation of several compilers, it is important to understand which requirement compilers should satisfy. Explain three requirements that compilers should satisfy. Left-most, right-most and mixed derivations are often used to generate context-free grammars. A context-free grammar G has the production rules: S  aSS S b Generate the word aababbb using left most derivation.
Comfirm that the following grammar is ambiguous. If true modify the grammar so that it will become unambiguous.
In order to have a better understanding of the CFG (Context Free Grammar) principles, could you please explain "Semantic augmentation" and offer an example? v