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Materials:
Decidability Problems for Grammars
Some Reduction Inferences
Example reductions
Recent questions tagged decidability
5
votes
1
answer
391
Decidability
Is there any proof for these or i have to remember these statements: 1. For a decidable language L, $L^r$ may be decidable or may not be. 2. Union of a decidable and Undecidable language can be decidable & even regular. 3. If every subset of a set is CFL, then the set must be regular.
Is there any proof for these or i have to remember these statements:1. For a decidable language L, $L^r$ may be decidable or may not be.2. Union of a decidable and Undeci...
thor
1.9k
views
thor
asked
Nov 16, 2016
Theory of Computation
decidability
theory-of-computation
+
–
2
votes
3
answers
392
TOC Turing Machine
Consider the following languages L1 = {< M, q > |M is a turing machine that visits state q on some input within 10 steps} L2 = {< M > |M is a turing machine, |M | < 100 where |M | is number of states in machine} Which of ... L1 nor L2 is decidable In L2, if the states are unreachable, then will it be possible to detect whether machine has less than 100 states ???
Consider the following languagesL1 = {< M, q |M is a turing machine that visits state q on some input within 10 steps}L2 = {< M |M is a turing machine, |M | < 100 where...
umang_16
1.9k
views
umang_16
asked
Nov 15, 2016
Theory of Computation
theory-of-computation
turing-machine
decidability
+
–
2
votes
1
answer
393
Deciadable
I know that whether the complement of a language is of same type? is decidable for RL, DCFL, CSL and RL.But what does it mean clearly. Is complement of DCFL always DCFL? (or may be regular or CSL) Is complement of CSL always CSL? (or may be CFL or Regula) I read many answers here in gateoverflow that say Chomsky hierarchy is used for this? Please explain?
I know that whether the complement of a language is of same type? is decidable for RL, DCFL, CSL and RL.But what does it mean clearly.Is complement of DCFL always DCFL? (...
thor
1.1k
views
thor
asked
Nov 15, 2016
Theory of Computation
theory-of-computation
decidability
+
–
7
votes
3
answers
394
class Identification
Consider two languages, L1 and L2 defined over same alphabet ∑. Let L1⊕L2={w|w belongs to exactly one out of L1 and L2}. Suppose L1 is regular and L2 is context-free, then which of the following statements is true? L1⊕L2 is undecidable L1⊕L2 is context-free but not necessarily regular L1⊕L2 is regular L1⊕L2 is decidable but not necessarily context-free
Consider two languages, L1 and L2 defined over same alphabet ∑. Let L1⊕L2={w|w belongs to exactly one out of L1 and L2}. Suppose L1 is regular and L2 is context-free,...
Shashank Chandekar
1.9k
views
Shashank Chandekar
asked
Nov 13, 2016
Theory of Computation
theory-of-computation
identify-class-language
decidability
+
–
14
votes
2
answers
395
GATE CSE 1987 | Question: 2m
State whether the following statements are TRUE or FALSE: The problem as to whether a Turing machine $M$ accepts input $w$ is undecidable.
State whether the following statements are TRUE or FALSE:The problem as to whether a Turing machine $M$ accepts input $w$ is undecidable.
makhdoom ghaya
4.0k
views
makhdoom ghaya
asked
Nov 9, 2016
Theory of Computation
gate1987
theory-of-computation
turing-machine
decidability
true-false
+
–
14
votes
4
answers
396
GATE CSE 1987 | Question: 2l
State whether the following statement are TRUE or FALSE. $A$ is recursive if both $A$ and its complement are accepted by Turing machines.
State whether the following statement are TRUE or FALSE.$A$ is recursive if both $A$ and its complement are accepted by Turing machines.
makhdoom ghaya
3.6k
views
makhdoom ghaya
asked
Nov 9, 2016
Theory of Computation
gate1987
theory-of-computation
turing-machine
decidability
true-false
+
–
3
votes
1
answer
397
Doubt - TOC
State True/False A subset of recursive language can be recursive enumerable that is not recursive. P.S : I don't know the answer.. but it should be false according to me.. Kindly let me know if i am wrong with an example ..
State True/FalseA subset of recursive language can be recursive enumerable that is not recursive. P.S : I don't know the answer.. but it should be false according to me.....
Gate Mission 1
487
views
Gate Mission 1
asked
Nov 7, 2016
Theory of Computation
decidability
theory-of-computation
recursive-and-recursively-enumerable-languages
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–
3
votes
2
answers
398
ME-Practice Set TOC Q#25
KISHALAY DAS
1.7k
views
KISHALAY DAS
asked
Nov 2, 2016
Theory of Computation
theory-of-computation
decidability
+
–
0
votes
1
answer
399
NPC Problems
monty
800
views
monty
asked
Oct 28, 2016
Theory of Computation
decidability
bad-question
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–
5
votes
0
answers
400
UNDECIDABLE
monty
873
views
monty
asked
Oct 26, 2016
Theory of Computation
theory-of-computation
turing-machine
decidability
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–
2
votes
1
answer
401
class of language
1. L = {<M>|M is a TM and L(M) is countable} 2. L = {<M>|M is a TM and L(M) is uncountable} what is the class of 1 and 2 recursive/RE/NOT RE
1. L = {<M>|M is a TM and L(M) is countable}2. L = {<M>|M is a TM and L(M) is uncountable}what is the class of 1 and 2 recursive/RE/NOT RE
saurabh rai
2.0k
views
saurabh rai
asked
Oct 26, 2016
Theory of Computation
theory-of-computation
identify-class-language
decidability
turing-machine
+
–
2
votes
1
answer
402
Halting Problem
monty
784
views
monty
asked
Oct 26, 2016
Theory of Computation
theory-of-computation
turing-machine
decidability
+
–
0
votes
0
answers
403
Decidability ME test series
Which of the following language is decidable? a. {(M)| M is a TM and there exist an input whose length is less than 100, on which M halts} b. {(M)| M is a TM and L(M) = {00, 11}} c. Both (a) and (b) d. None of the above
Which of the following language is decidable?a. {(M)| M is a TM and there exist an input whose length is less than 100, onwhich M halts}b. {(M)| M is a TM and L(M) = {00,...
saurabh rai
492
views
saurabh rai
asked
Oct 25, 2016
Theory of Computation
decidability
theory-of-computation
+
–
2
votes
1
answer
404
Decidability
i m confused between 2 problems 1. X={M| L(M)=ε} 2. Y ={M| M accepts ε} where M is Turing Machine is this 2 problems are different and also explain decidability of both ie. decidable/semi-decidable/undecidable....
i m confused between 2 problems 1. X={M| L(M)=ε} 2. Y ={M| M accepts ε}where M is Turing Machineis this 2 problems are different and also explain decidability of both...
saurabh rai
2.9k
views
saurabh rai
asked
Oct 24, 2016
Theory of Computation
decidability
theory-of-computation
turing-machine
+
–
0
votes
0
answers
405
decidability
1. I know that whether a cfg generates regular language is undecidable .... somone plzz help me to prove that whether a given cfl is regular language also undecidable .... 2. how equvilance problem on 2 dcfl is decidable??
1. I know that whether a cfg generates regular language is undecidable ....somone plzz help me to prove thatwhether a given cfl is regular language also undecidable .......
saurabh rai
606
views
saurabh rai
asked
Oct 22, 2016
Theory of Computation
decidability
theory-of-computation
+
–
10
votes
2
answers
406
Madeeasy Test Series
Consider the following statements: S1: If a Turing machine can't write on the portion of the tape that contains the input, then it can only recognize regular languages. S2: Language $\{1^n \mid n \text{ is prime}\}$ is decidable. S3: Problem of determining ... . Which of the following is true? Only S1 and S2 are true Only S2 and S3 are true Only S3 is true All of these
Consider the following statements:S1: If a Turing machine can't write on the portion of the tape that contains the input, then it can only recognize regular languages.S2:...
gautamcse27
2.2k
views
gautamcse27
asked
Oct 22, 2016
Theory of Computation
theory-of-computation
decidability
+
–
1
votes
2
answers
407
Virtual Gate Test Series: Theory Of Computation - Turing Machine
Consider the following two decision problems Whether a Turing machine takes more than $481$ steps on input $\epsilon?$ Whether a Turing machine accepts the null string $\epsilon?$ Which of the following statements is true$?$ ... undecidable but $B$ is decidable Both $A$ and $B$ are decidable Both $A$ and $B$ are undecidable
Consider the following two decision problemsWhether a Turing machine takes more than $481$ steps on input $\epsilon?$Whether a Turing machine accepts the null string $\ep...
Hradesh patel
509
views
Hradesh patel
asked
Oct 7, 2016
Theory of Computation
theory-of-computation
turing-machine
decidability
virtual-gate-test-series
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–
1
votes
2
answers
408
made easy test series
debanjan sarkar
951
views
debanjan sarkar
asked
Oct 6, 2016
Theory of Computation
turing-machine
decidability
theory-of-computation
+
–
0
votes
1
answer
409
Kerala PSC AP Exam
Which of the following is not decidable: A) Given a Turing machine M, a string S and an integer k, M accepts S within k steps B) Equivalence of two given turing machines C) Language accepted by a given finite state machine is not empty D) Language generated by a context free grammar is not empty
Which of the following is not decidable:A) Given a Turing machine M, a string S and an integer k, M accepts S within k stepsB) Equivalence of two given turing machinesC) ...
Sankaranarayanan P.N
348
views
Sankaranarayanan P.N
asked
Sep 28, 2016
Theory of Computation
theory-of-computation
decidability
+
–
5
votes
2
answers
410
Halting Problem of Turing Machines
Can anyone provide the proof of halting problem of turing machines by contradiction ? If possible, give example, how is it reduced to other turing problems ?
Can anyone provide the proof of halting problem of turing machines by contradiction ? If possible, give example, how is it reduced to other turing problems ?
Kapil
2.1k
views
Kapil
asked
Sep 27, 2016
Theory of Computation
theory-of-computation
turing-machine
decidability
+
–
1
votes
1
answer
411
TOC-decidability
If L1 <= L2 In which of the following cases it is undecidable? A. L1 and L2 are DCFL's B. L1 and L2 are recursive C. L1 and L2 are regular D. Both A and B
If L1 <= L2In which of the following cases it is undecidable?A. L1 and L2 are DCFL'sB. L1 and L2 are recursiveC. L1 and L2 are regularD. Both A and B
Aegon
457
views
Aegon
asked
Sep 23, 2016
Theory of Computation
decidability
+
–
0
votes
2
answers
412
Theory of Computation - Decidability
Is this language Decidable ? L = { < M1,M2 > | M1,M2 are TM's and Ɛ ∈ L(M1) ∪ L(M2) } Where Ɛ = Epsilon EDIT => I think it is the non-trivial property of TM making it undecidable. By applying rice theorem 1, Take Tyes = Σ* and Tno = (0) , making it REL.
Is this language Decidable ?L = { < M1,M2 | M1,M2 are TM's and Ɛ ∈ L(M1) ∪ L(M2) } Where Ɛ = EpsilonEDIT = I think it is the non-trivial property of TM making it u...
Kapil
905
views
Kapil
asked
Sep 7, 2016
Theory of Computation
theory-of-computation
decidability
turing-machine
+
–
5
votes
3
answers
413
decidability-toc
Which of the following is not decidable problem? (a) A sting is generated by C.N.F or Not? (b) A given non-terminal A in a given grammar CFG is ever used in the generation of word (c) Given context-free Grammar generates an infinite language or a finite language (d) None of the above
Which of the following is not decidable problem?(a) A sting is generated by C.N.F or Not?(b) A given non-terminal A in a given grammar CFG is ever used in the generation ...
vkm07
2.2k
views
vkm07
asked
Jul 15, 2016
Theory of Computation
gateforum-test-series
theory-of-computation
decidability
+
–
3
votes
2
answers
414
Turing machines decidability problem
Consider the following two decision problems Whether a Turing Machine takes more than 481 steps on input epsilon? Whether a Turing Machine accepts the null string epsilon? Which of the following statements is true ? Problem a is decidable but b is not Problem a is undecidable but b is decidable Both a and b are decidable Both a and b are undecidable
Consider the following two decision problemsWhether a Turing Machine takes more than 481 steps on input epsilon?Whether a Turing Machine accepts the null string epsilon?W...
biranchi
1.6k
views
biranchi
asked
May 24, 2016
Theory of Computation
theory-of-computation
turing-machine
decidability
+
–
32
votes
4
answers
415
GATE CSE 2016 Set 1 | Question: 17
Which of the following decision problems are undecidable? Given NFAs $N_1$ and $N_2$ , is $L(N_1) \cap L(N_2) = \Phi$ Given a CFG $G = (N,\Sigma,P,S)$ and a string $x \in \Sigma^{*}$, does $x \in L(G)$} ? Given CFGs $G_1$ and $G_2$, is $L (G_1) = L(G_2)$? Given a TM $M$, is $L(M)=\Phi$ ? I and IV only II and III only III and IV only II and IV only
Which of the following decision problems are undecidable?Given NFAs $N_1$ and $N_2$ , is $L(N_1) \cap L(N_2) = \Phi$Given a CFG $G = (N,\Sigma,P,S)$ and a string $x \in ...
Sandeep Singh
8.6k
views
Sandeep Singh
asked
Feb 12, 2016
Theory of Computation
gatecse-2016-set1
theory-of-computation
decidability
easy
+
–
0
votes
1
answer
416
Virtual Gate Test Series: Theory Of Computation - Undecidability
sourav.
337
views
sourav.
asked
Feb 3, 2016
Theory of Computation
theory-of-computation
decidability
virtual-gate-test-series
+
–
0
votes
1
answer
417
Virtual Gate Test Series: Theory Of Computation - Decidable Language
$L$ is surely decidable if (A) both $L$ and its complement are not recognizable (B) $L \subseteq \{0\}^*$ (C) $L \leq_m \{0^n1^n\;\mid\;n\geq0\}$ (D) $L^R$ is decidable
$L$ is surely decidable if (A) both $L$ and its complement are not recognizable (B) $L \subseteq \{0\}^*$(C) $L \leq_m \{0^n1^n\;\mid\;n\geq0\}$(D) $L^R$ is decidable
learncp
832
views
learncp
asked
Jan 26, 2016
Theory of Computation
theory-of-computation
decidability
virtual-gate-test-series
+
–
0
votes
0
answers
418
Partially Decideable 1,1
Some explanation?
Some explanation?
Aspi R Osa
307
views
Aspi R Osa
asked
Jan 24, 2016
Theory of Computation
decidability
+
–
2
votes
2
answers
419
Virtual Gate Test Series: Theory Of Computation - Decidability
Here My explanation is : I. We run TM for 1,2,3,4,5....n if it stops in any of these then yes otherwise no II. We run TM for n steps if it stops yes otherwise no III. We run TM for n, n+1, n+2.... ... can say yes but if do not halt we can't say anything because we have to run it infinite number of times Is my explanation correct?
Here My explanation is :I. We run TM for 1,2,3,4,5....n if it stops in any of these then yes otherwise noII. We run TM for n steps if it stops yes otherwise noIII. We run...
Sumit1311
858
views
Sumit1311
asked
Jan 22, 2016
Theory of Computation
theory-of-computation
turing-machine
decidability
virtual-gate-test-series
+
–
3
votes
1
answer
420
MadeEasy Test Series: Theory Of Computation - Decidability
Consider the following languages A={<M>|M is a TM and |L(M)| >= 3} B={<M>|M is a TM that accepts some string} Which of the following is correct? (a.) A is decidable, B is partially decidable (b.) A is ... decidable (c.) Both A and B are decidable (d.) Both A and B are partially decidable Answer given : (d.) But how?
Consider the following languagesA={<M>|M is a TM and |L(M)| >= 3}B={<M>|M is a TM that accepts some string}Which of the following is correct?(a.) A is decidable, B is par...
Utk
764
views
Utk
asked
Jan 19, 2016
Theory of Computation
made-easy-test-series
theory-of-computation
decidability
+
–
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