1.How to prove the language L is recursively enumerable if does not halt on all its...
1.How to prove the language L is recursively enumerable if does not halt on all its input?
2.How to prove the language L is recursively enumerable?
Homework Answers
1. If L is recursive enumerable, then for every string 
,
Turing machine will always halt, while for 
, Turing
machine might not halt. Hence to prove that language L is
recursively enumerable, we have to show that Turing machine M for
language L will always halt for input . Hence
given Turing machine T for L i.e. L(T) = L, show that T always halt
for .
2. Language L is recursively enumerable if and only if there
exist a Turing machine T, which on every input will accept
the string w and halts. Hence to prove L is recursively enumerable,
we have to show the construction of Turing machine which will
always halt on input w which is in L.
Add Answer to:
1.How to prove the language L is recursively enumerable if does
not halt on all its...
Prove that the set of all languages that are not recursively enumerable is not countable.
Prove that the set of all languages that are not recursively enumerable is not countable.
Computer Theory 3. (a) Prove that the language LH IR(M) w machine M halts with input...
Computer Theory
3. (a) Prove that the language LH IR(M) w machine M halts with input w is "recursively enumerable" (b) Prove that LH is not "recursive"
1. If L is the complement of a language recognized by a non-deterministic finite automaton, then...
1. If L is the complement of a language recognized by a non-deterministic finite automaton, then L is _______ a) finite b) regular but not necessarily finite c) deterministic context-free but not necessarily regular d) context-free but not necessarily deterministic context-free e) recursive (that is, decidable) but not necessarily context-free f) recursively enumerable (that is, partially decidable) but not necessarily recursive g) not recursively enumerable
Automata question Categorize the languages as I. Type 0 or Recursively Enumerable Languages II. &n
Automata question Categorize the languages as I. Type 0 or Recursively Enumerable Languages II. Type 1 or CSL III. Type 2 or CFL IV. Type 3 or Regular in accordance to the Chomsky hierarchy (select only one of the answers designating the lowest level - Note that Type 3 is the lowest level and Type 0 is the highest level) over the alphabet {0,1} L = {0n10k |k, n is any integer} i think its type 0.. am i right ?...
Suppose the language L ? {a, b}? is defined recursively as follows: ? L; for every...
Suppose the language L ? {a, b}? is defined recursively as
follows:
? L; for every x ? L, both ax and axb are
elements of L.
Show that L = L0 , where L0 =
{aibj | i ? j }. To show that L ? L 0
you
can use structural induction, based on the recursive definition of
L. In the other direction, use strong induction on the length of a
string in L0.
1.60. Suppose the language...
F F F 12. L={ <M> : L(M) = {b). Le SD/D. 13. L={<M> : L(M)...
F F F 12. L={ <M> : L(M) = {b). Le SD/D. 13. L={<M> : L(M) CFLs). LED 14. L = {<M> : L(M) e CFLs). Rice's theorem could be used to prove that L 15. T T D. F L = {<M> : L(M) e CFLs). Le SD. That is, L is not semidecidable. T F 16. L <Mi,M2>:IL(M)L(IM21) 3. That is, there are more strings in L(M2) than in L(M). Rice's theorem could be used to prove that...
please solve the problems(True/False questions) 25. There is a problem solvable by Turing machines with two...
please solve the problems(True/False questions)
25. There is a problem solvable by Turing machines with two tapes but unsolvable by Turing machines with a single tape 26. The language L = {(M, w) | M halts on input w} is recursively enumerable 27. The language L = {(M,w) | M halts on input w is recursive ne language L = {a"o"c" | n 2 1} in linear time 24. Nondeterministic Turing machines have the same expres siveness as the standard...
TM, RE, Non-RE Thanks in advance Tell whether the following language L is recursive, RE-but-not-recursive, or...
TM, RE, Non-RE
Thanks in advance
Tell whether the following language L is recursive, RE-but-not-recursive, or non-RE. L is the set of all TM codes for TM's that halt on no input. Prove your answer. TM, RE, Non-RE Thanks in advance
Determining whether languages are finite, regular, context free, or recursive 1. (Each part is worth 2 points) Fill in the blanks with one of the following (some choices might not be used): a) finit...
Determining whether languages are finite, regular, context free,
or recursive
1. (Each part is worth 2 points) Fill in the blanks with one of the following (some choices might not be used): a) finite b) regular but not finite d) context-free but not deterministic context-free e) recursive (that is, decidable) but not context-free f) recursively enumerable (that is, partially decidable) but not recursive g) not recursively enumerable Recall that if M is a Turing machine then "M" (also written as...
2. If L is a regular language, prove that the language 11 = { uv/ u...
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Computer Theory
3. (a) Prove that the language LH IR(M) w machine M halts with input w is "recursively enumerable" (b) Prove that LH is not "recursive"
Suppose the language L ? {a, b}? is defined recursively as
follows:
? L; for every x ? L, both ax and axb are
elements of L.
Show that L = L0 , where L0 =
{aibj | i ? j }. To show that L ? L 0
you
can use structural induction, based on the recursive definition of
L. In the other direction, use strong induction on the length of a
string in L0.
1.60. Suppose the language...
F F F 12. L={ <M> : L(M) = {b). Le SD/D. 13. L={<M> : L(M) CFLs). LED 14. L = {<M> : L(M) e CFLs). Rice's theorem could be used to prove that L 15. T T D. F L = {<M> : L(M) e CFLs). Le SD. That is, L is not semidecidable. T F 16. L <Mi,M2>:IL(M)L(IM21) 3. That is, there are more strings in L(M2) than in L(M). Rice's theorem could be used to prove that...
please solve the problems(True/False questions)
25. There is a problem solvable by Turing machines with two tapes but unsolvable by Turing machines with a single tape 26. The language L = {(M, w) | M halts on input w} is recursively enumerable 27. The language L = {(M,w) | M halts on input w is recursive ne language L = {a"o"c" | n 2 1} in linear time 24. Nondeterministic Turing machines have the same expres siveness as the standard...
TM, RE, Non-RE
Thanks in advance
Tell whether the following language L is recursive, RE-but-not-recursive, or non-RE. L is the set of all TM codes for TM's that halt on no input. Prove your answer. TM, RE, Non-RE Thanks in advance
Determining whether languages are finite, regular, context free,
or recursive
1. (Each part is worth 2 points) Fill in the blanks with one of the following (some choices might not be used): a) finite b) regular but not finite d) context-free but not deterministic context-free e) recursive (that is, decidable) but not context-free f) recursively enumerable (that is, partially decidable) but not recursive g) not recursively enumerable Recall that if M is a Turing machine then "M" (also written as...
2. If L is a regular language, prove that the language 11 = { uv/ u E 1 , |v|-2) is also regular. (Hint: Can you build an NFA of L1 using an NFA of a language L? Use N, the NFA of the language L)
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