The word's length in a finite language with its FA of ten states Ⓒ must be less than ten length of all words in this language is exactly ten may be greater than ten undetermined by the given information To test if an FA of 4 states over alphabets Σ accepts any string or not, Otest only strings of length 4 C test all strings with length less than 4 Otest one string of length greater than 4 check all possible strings of

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
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The word's length in a finite language with its
FA of ten states
O
must be less than ten
length of all words in this language
is exactly ten
may be greater than ten
undetermined by the given
information
To test if an FA of 4 states over alphabets
accepts any string or not,
O
O
test only strings of length 4
test all strings with length less than
4
test one string of length greater
than 4
check all possible strings of Σ
What do you add in the following statement of
pumping-lemma-I to make it a statement of
pumping-lemma-II. Let L be any infinite
regular language accepted by an FA with P
states defined over an alphabet Σ then there
exist three strings x, y, and z belonging to Σ*(
where y is not the null string) such that all the
strings of the form xyz for n=1,2,3, ... are the
words in L.
(length of x + length of y) is less or
equal to N
Ⓒ (length of x + length of y) is
greater or equal to N
(length of x + length of z) is less or
equal to N
length of all words is greater or
equal to N
Transcribed Image Text:The word's length in a finite language with its FA of ten states O must be less than ten length of all words in this language is exactly ten may be greater than ten undetermined by the given information To test if an FA of 4 states over alphabets accepts any string or not, O O test only strings of length 4 test all strings with length less than 4 test one string of length greater than 4 check all possible strings of Σ What do you add in the following statement of pumping-lemma-I to make it a statement of pumping-lemma-II. Let L be any infinite regular language accepted by an FA with P states defined over an alphabet Σ then there exist three strings x, y, and z belonging to Σ*( where y is not the null string) such that all the strings of the form xyz for n=1,2,3, ... are the words in L. (length of x + length of y) is less or equal to N Ⓒ (length of x + length of y) is greater or equal to N (length of x + length of z) is less or equal to N length of all words is greater or equal to N
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