Theory :: 1. write a CFG for language L={ a'b'c* | k=i+j and i.j,k>0} 2. write a CFG for language L = { w w=wR} 3. write a CFG for language L={w|number of (a) ir w equals number of (b) in w} %3D 4. show the derivation tree for string (a+a)*a in the following grammar G = ({E,T,F}, {a, +, *, (, )}, R, E}. The set of rules R is: E-> E +T|T T->T*F|F F-> (E) | a

Theory :: 1. write a CFG for language L={ a'b'c* | k=i+j and i.j,k>0} 2. write a CFG for language L = { w w=wR} 3. write a CFG for language L={w|number of (a) ir w equals number of (b) in w} %3D 4. show the derivation tree for string (a+a)a in the following grammar G = ({E,T,F}, {a, +, , (, )}, R, E}. The set of rules R is: E-> E +T|T T->T*F|F F-> (E) | a

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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Give a Chomsky normal form grammar for the set A = {w∈{a,b}^+ | #a(w) = #b(w)}. Recall the symbol + means "1 or more copies" as opposed to the * symbol that means "0 or more copies". Here, set A is non-null strings with an equal number of a's and b's.
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