Given the following context-free grammar (CFG): (uppercase letters represent the variables, bolded lowercase letters represent the terminals, Sis the start variable) s > ABC | BCD A > AAA | a B > AI AB | Bb c > c|e D → Dd I DD I De Use the CYK algorithm to prove the word aaabc is in the language of the given grammar!

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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Formal language 

Given the following context-free grammar (CFG):
(uppercase letters represent the variables, bolded lowercase letters represent the terminals,
S is the start variable)
S У ABC | ВCD
A → AAA | a
В УА Т АВ | Вb
C → c | ɛ
D → Dd | DD | Dc
Use the CYK algorithm to prove the word aaabc is in the language of the given
ww m
grammar!
Transcribed Image Text:Given the following context-free grammar (CFG): (uppercase letters represent the variables, bolded lowercase letters represent the terminals, S is the start variable) S У ABC | ВCD A → AAA | a В УА Т АВ | Вb C → c | ɛ D → Dd | DD | Dc Use the CYK algorithm to prove the word aaabc is in the language of the given ww m grammar!
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