i)Show that infinite decidable language has infinite decidable
subset ?
ii)Show that any infinite decidable language L has an infinite
decidable subset J with the property that L − J is also infinite.
iii. Does the statement in part i of this problem still true if
L is only recognizable ? Show or Counter example.
No Spam please.
Let S={1,2,3,6} and define the relation ~ on S2 by
(m,n) ~ (k,l) for m+l=n+k
Show that it is an equivalent relation
Find the number of different equivalent classes and write all
of them
Let L ⊆ Σ ∗ and define S(L), the suffix-language of L, as S(L) =
{w ∈ Σ ∗ | x = yw for some x ∈ L, y ∈ Σ ∗ } Show that if L is
regular, then S(L) is also regular.
Prove that the language L={(M, N): M is a Turing machine and N
is a DFA with L(M) =L(N)} is undecidable. You need to derive a
reduction from Atm={(M, w)|Turing machine M accepts w} to L.
(In layman's terms please, no other theorems involved)
Construct a pda that accepts the language defined by the grammar
S → aSSSab | λ .
This has already been answered using software with no
explanation. I am not interested in the answer so much. I just want
an explanation. or at least a step by step formula.
Let A be an infinite set and let B ⊆ A be a subset. Prove:
(a) Assume A has a denumerable subset, show that A is equivalent
to a proper subset of A.
(b) Show that if A is denumerable and B is infinite then B is
equivalent to A.