1. Show that every right-linear grammar generates
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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Transcribed Image Text:A CFG is said to be right-linear if each production
body has at most one variable, and that variable is
at the right end. That is, all productions of a right-
linear grammar are of the form A → wB or A → w,
where A and B are variables and w some string of
zero or more terminals.
1. Show that every right-linear grammar generates
a regular language. Hint: Construct an ɛ- NFA that
simulates leftmost derivations, using its state to
represesnt the lone variable in the current left-
sentential form.
2. Show that every regular language has a right-
linear grammar. Hint: Start with a DFA and let the
variables of the grammar represent states.
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