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Questions about decision problems that can be solved on nondeterministic Turing machines in time polynomial in the length of the input.
-1
votes
1
answer
63
views
Showing that a problem in $NP$ admits two distinct verifiers that satisfy additional constra...
Show that any $S \in NP$ has 2 different polynomial-time verifiers $V_1, V_2$ such that, for all $x,y$, the following conditions hold:
If $V_1(x,y)=1$ then $V_2(x,y)=0$
If $V_2(x,y)=1$ then $V_1(x,y)= …
-1
votes
1
answer
223
views
K-Path-Problem is in $P$ or $NPC$
Given an undirected graph $G(V, E)$, two vertices $u$ and $v$ and a natural number $k$, does a path of at least length $k$ exists between these two vertices?
How can we solve this problem? I think m …
0
votes
1
answer
62
views
Any problem in P can be reduced to the language of odd integers
Given $A=\left\{n\in \mathbb{N} \mid \text{$n$ is odd}\right\}$, we want to prove that if $S \in P$ then there is a Karp reduction from $S$ to $A$.
My attempt:
If $S \in P$ we can solve $S$ with a re …
1
vote
1
answer
84
views
Does $NP^{SAT}=NP^{NP}$?
Does $NP^{SAT}=NP^{NP}$?
We can see easily that $NP^{SAT}\subseteq NP^{NP}$, because $SAT \in NP$.
But is the other side $NP^{NP}\subseteq NP^{SAT}$ also true? If yes, how can we prove it? …