Which of the following statements about languages are true?

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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Which of the following statements about
languages are true?
Select one or more:
The strings of a language with E =
{a,b,c} are {a,b,c}*
%3D
The language of a problem is chosen
from the codomain by an indicator
function
Decidable means "co-recognizable
AND recognizable"
Rejected values form a co-
recognizable language
V The language specified by { a | a=1
and a=0 } is unrecognizable.
If an indicator function always halts,
then the language cannot be
decidable
If an indicator function might not
terminate, then the language could
be recognizable
The language specified by { a,b,c |
a2+b²=c² } is unrecognizable
If an indicator function might not
halt, then the language is
undecidable
Transcribed Image Text:Which of the following statements about languages are true? Select one or more: The strings of a language with E = {a,b,c} are {a,b,c}* %3D The language of a problem is chosen from the codomain by an indicator function Decidable means "co-recognizable AND recognizable" Rejected values form a co- recognizable language V The language specified by { a | a=1 and a=0 } is unrecognizable. If an indicator function always halts, then the language cannot be decidable If an indicator function might not terminate, then the language could be recognizable The language specified by { a,b,c | a2+b²=c² } is unrecognizable If an indicator function might not halt, then the language is undecidable
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