Questions tagged [np]
6 questions
2
votes
1 answer
Does the paper “A Heuristic Proof of P ≠ NP” actually prove that P ≠ NP?
I saw a paper on eprint that says 'A Heuristic Proof of P ≠ NP', does this mean that P ≠ NP has been proven? The URL of the paper is: https://eprint.iacr.org/2024/2035.
Ji Li
- 137
- 8
2
votes
1 answer
probabilistic polynomial-time Turing machine with one-way function
Suppose that there exists a function $:\{0,1\}^ → \{0,1\}^$
such that, is computable in polynomial time; and the following task cannot be computed in polynomial time (that is, there are $ ∈ \{0,1\}^$, for which, it cannot be computed…
Xoxoxo
- 45
- 5
2
votes
2 answers
How to prove that $$ is in $\mathsf{NP} \setminus \mathsf{P}?$
Suppose that there exists a function $:\{0,1\}^ → \{0,1\}^$
such that, is computable in polynomial time; and the following task cannot be computed in polynomial time (that is, there are $ ∈ \{0,1\}^$, for which, it cannot be computed…
Xoxoxo
- 45
- 5
2
votes
1 answer
3-Coloring Zero-Knowledge Proof: rational verifier?
I'm studying the application of Zero-Knowledge Proofs (ZKP) to graph 3-colorability. I haven't fully understood the need for randomness in the verifier's choice of the edge to challenge the prover with.
If the verifier could choose the edge to…
Tom_tomato
- 23
- 4
1
vote
3 answers
P versus semi-NP?
I am not sure to fully understand the interest of the P versus NP problem for cryptography. I get that it is important to have a problem which is hard to solve but easy to check. But it seems to me that for cryptography purposes, the problem always…
Marc Dinh
- 113
- 3
0
votes
0 answers
One-way function constructed by multivariable polynomials
Although the conjecture regarding the existence of one-way functions remained open, there are numerous NP-based methods for constructing diverse one-way functions, including DL, lattice, and subset sum problems.
Recently, I have been endeavoring to…
X.H. Yue
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