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CYK algorithm

CYK algorithm

Database System Concepts
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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Question

Given the grammar G with productions

 

S → AB

 

A → AS | BS | a

 

B → SA | b

 

The CYK algorithm is performed on input string 

 

w= aababb

 

filing the 10 cells below from C1 to C21

С21 С19 С20 С16 С17 C18 С12 С13 C14 С15 C7 C8 C9 С10 С11 C5 C6 | C1 C2 C3 C4
Transcribed Image Text:С21 С19 С20 С16 С17 C18 С12 С13 C14 С15 C7 C8 C9 С10 С11 C5 C6 | C1 C2 C3 C4
What is the entry in cell C9 ? A {A} v What is the entry in cell C13 ? B. No v What is the entry in cell C16 ? C {S} v What is the entry in cell C20 ? D. Yes v From the table above, is aab in L(G) ? E {S,A̟B} v From the table above, is abb in L(G) ? F. {S,B} From the table above, is bbab in L(G) ? G. {B} v From the table above, is aababb in L(G) ? H. {S,A} I. Cannot be determined J. {A,B} KØ
Transcribed Image Text:What is the entry in cell C9 ? A {A} v What is the entry in cell C13 ? B. No v What is the entry in cell C16 ? C {S} v What is the entry in cell C20 ? D. Yes v From the table above, is aab in L(G) ? E {S,A̟B} v From the table above, is abb in L(G) ? F. {S,B} From the table above, is bbab in L(G) ? G. {B} v From the table above, is aababb in L(G) ? H. {S,A} I. Cannot be determined J. {A,B} KØ
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