114 views

$L^{*}-\{{\epsilon }\}=L^{+}$. True or False? (Given L is a language)

edited | 114 views
+1

but here it not a string it's language right ??

0
L is not alphabets, it is a language. is it true for language also?
0
false
0
False for $L=\left \{ \right \}$
0
yes got it. Thanks for testcase
0

If it was like:

L* -{ ϵ } = L+

given L is a language made from (a,b) then?

0
When we got a contradicting case why check other, the statement is false
0

How? can you please explain? @Shobhit Joshi

0
$L=\left\{\right \}$, for this the given statement is not True. Hence, the statement is False
0

I am asking it in general :

IF this is given in exam then what will be our approach

If it was like:

L* -{ ϵ } = L+

given L is a language made from (a,b) then?

0
Even if L is empty, it's Kleene closure will have epsilon.
0

Can someone confirm it