Skip to main content

All Questions

Filter by
Sorted by
Tagged with
-1 votes
1 answer
445 views

What is wrong with the argument that zero permanent is polynomial?

This Lecture summarizes some well known facts about $\#P$ completeness of permanent. Given a CNF formula $\phi$ on $n$ variables, they construct matrix $A$ such that: $$perm(A)=4^{3m} \#SAT(\phi)$$ ...
joro's user avatar
  • 25.4k
-2 votes
1 answer
519 views

cardinal equivalence: for each boolean formula, |quantifications| = |assignments|. [closed]

Cardinal Equivalence Theorem For each boolean formula, |quantifications| = |assignments|. The set of valid quantifications has some cardinality, call that |Q(B)...
daniel pehoushek's user avatar
-2 votes
2 answers
248 views

Time estimate to determine if a number is prime [closed]

How long does it take to verify that a given number is a prime number, as a function of its number of digits, in a personal computer, say? How computationally hard is this?
Marco M.'s user avatar
-2 votes
1 answer
225 views

are all NP problems made up of P problems? [closed]

are all NP problems made up of P problems? that is, can NP problems be thought of as an accumulation of P problems? or can NP problems be divided up into a series of P problems?
musingsofacigarettesmokingman's user avatar
-2 votes
1 answer
169 views

If the set of the output of a computable function is finite, is the sequence periodic eventually? [closed]

$$f:N \rightarrow B,\space B\subset N $$ and $B$ is finite, $S$ is the sequence constructed by $f(1),f(2)\cdots f(i)\cdots $. Now, if $f$ is a computable function,is $S$ eventually periodic? Update: ...
XL _At_Here_There's user avatar
-2 votes
1 answer
181 views

What is the computational complexity to verify a P solution with a deterministic Turing machine? [closed]

As we know, NP (nondeterministic polynomial time) is a complexity class used to classify decision problems. NP is the set of decision problems for which the problem instances, where the answer is &...
XL _At_Here_There's user avatar
-2 votes
1 answer
472 views

how to reduce 3-colorable graph to this? [closed]

suppose we have a finite set X and a set S of subsets of X and we want to determine is there a subset S' of S such that all members of X belong to exactly one set in S' I think the best problem to ...
amir veyseh's user avatar
-3 votes
1 answer
531 views

Counter net decidability [closed]

Let one Deterministic Counter Net ($\mathrm{1DCN}$), which is a finite-state automata where every state is complete means all states has transition of all input symbols and their respective weight ...
Lionheart's user avatar
-4 votes
1 answer
220 views

What is the computationally simplest way to universally index the set of simple graphs?

If given a simple, integer-labeled, but not necessarily connected, graph $G := (V,E)$ consisting of at least one vertex, i.e. $\lvert \rvert V \lvert \rvert \geq 1$, then is there a function to ...
Stuart LaForge's user avatar

1
33 34 35 36
37