1. A language L is Turing-recognizable if there exists a TM M such that given an input strir w over the alphabet of L, M a) Halts and accepts w b) Halts and rejects w c) Loops and returns no answer d) Both (a) and (b) e) All of (a), (b), and (c) 2. Which ones of the following languages are Turing-decidable: a) ADFA = {< D, w> | D is a DFA that accepts input string w} b) EQDFA = { | D1 & Dz are DFAS and L(D;) = L(D2) } c) Both (a) & (b) d) None of the above 3. Which ones of the following languages are Turing-recognizable, but not decidable: a) AREX = { | R is a regular expression that describes string w} b) EDFA = { | D is a DFA and L(D) = Ø } c) ECFG = { | G is a CFG and L(G) = Ø } d) None of the above

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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Multiple choice
1. A language L is Turing-recognizable if there exists a TMM such that given an input string
w over the alphabet of L, M
a) Halts and accepts w
b) Halts and rejects w
c) Loops and returns no answer
d) Both (a) and (b)
e) All of (a), (b), and (c)
2. Which ones of the following languages are Turing-decidable:
a) ADFA = {< D, w> | D is a DFA that accepts input string w }
b) EQDFA = { <D1, Dz>| D1 & Dz are DFAS and L(D;) = L(D2) }
c) Both (a) & (b)
d) None of the above
3. Which ones of the following languages are Turing-recognizable, but not decidable:
a) AREX = { <R, w> | R is a regular expression that describes string w}
b) EDFA = { <D>| D is a DFA and L(D) = Ø }
c) EcrG = { <G>| G is a CFG and L(G) = Ø }
d) None of the above
Transcribed Image Text:Multiple choice 1. A language L is Turing-recognizable if there exists a TMM such that given an input string w over the alphabet of L, M a) Halts and accepts w b) Halts and rejects w c) Loops and returns no answer d) Both (a) and (b) e) All of (a), (b), and (c) 2. Which ones of the following languages are Turing-decidable: a) ADFA = {< D, w> | D is a DFA that accepts input string w } b) EQDFA = { <D1, Dz>| D1 & Dz are DFAS and L(D;) = L(D2) } c) Both (a) & (b) d) None of the above 3. Which ones of the following languages are Turing-recognizable, but not decidable: a) AREX = { <R, w> | R is a regular expression that describes string w} b) EDFA = { <D>| D is a DFA and L(D) = Ø } c) EcrG = { <G>| G is a CFG and L(G) = Ø } d) None of the above
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