Define what one might mean by properly nested parenthesis structures involving two kinds of parentheses, say (() and []. Intuitively, properly nested strings in this situation are ([]), ([[]D[O], but not ([)] or ((]]. Using your definition, give a context-free grammar for generating all properly nested parentheses.

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
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19. Show a derivation tree for the string aabbbb with the grammar
AB|A,
А — аВ,
S
В —
Sb.
Give a verbal description of the language generated by this grammar.
Transcribed Image Text:19. Show a derivation tree for the string aabbbb with the grammar AB|A, А — аВ, S В — Sb. Give a verbal description of the language generated by this grammar.
Define what one might mean by properly nested parenthesis structures involving two kinds of
parentheses, say () and []. Intuitively, properly nested strings in this situation are ([]), ([[]])[0],
but not ([)] or ((]]. Using your definition, give a context-free grammar for generating all properly
nested parentheses.
Transcribed Image Text:Define what one might mean by properly nested parenthesis structures involving two kinds of parentheses, say () and []. Intuitively, properly nested strings in this situation are ([]), ([[]])[0], but not ([)] or ((]]. Using your definition, give a context-free grammar for generating all properly nested parentheses.
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