Skip to main content

All Questions

Filter by
Sorted by
Tagged with
0 votes
1 answer
64 views

If a language L over a finite alphabet A has both a subset and superset that are Turing-recognizable, does this make L Turing-Recognizable too?

"Let A be a finite alphabet, and let L1 and L2 be two Turing-recognisable languages over A such that L1 is a proper subset of L2, i.e. L1 ⊂ L2 but L1 ≠ L2. Let a language L over the alphabet A ...
Mark's user avatar
  • 1
0 votes
1 answer
117 views

Proving a language is recursively enumerable

Prove that the following language is recursively enumerable: L = {<M,x> | Turing machine M enters the same configuration twice on input x} I have tried to construct a TM that maintains the ...
revision's user avatar
0 votes
1 answer
456 views

If a language is undecidable, then its complementary language must also be undecidable?

Reference from here If a Language is Non-Recognizable then what about its complement? There exist complementary languages of unrecognizable languages that are recognizable, and there exist ...
lz9866's user avatar
  • 317
0 votes
1 answer
88 views

Unrecognizable languages must be undecidable?

A decidable language must be recognizable. Unrecognizable languages must be undecidable? I want to know more about the relation of undecidability and unrecognizability
lz9866's user avatar
  • 317
1 vote
1 answer
173 views

L is a recognizable undecidable language ,M is a Turing machine that recognizes L, does M reject or infinitely loop for s belonging to L-complement?

If $L$ is a decidable language, $M$ is a Turing machine that determines $L$. For $\forall s \in L$, M accepts, and for $\forall s \in \overline{L}$, M rejects However, my question is that If $L$ is a ...
lz9866's user avatar
  • 317