Skip to main content

Questions tagged [sat]

Questions about the Boolean satisfiability problem from computability and complexity theory. If your question is about the college entrance exam called the SAT, you are on the wrong site.

Filter by
Sorted by
Tagged with
1 vote
0 answers
78 views

On binary constraints defined by vanishing of bivariate polynomials modulo $n$ [duplicate]

In an answer here Dima Pasechnik showed that constraints of the form $x_i x_j + a_{ij}x_i + b_{ij}x_j + c_{ij}$ are efficiently solvable modulo $2$ using Groebner basis. In comments he suggested that ...
joro's user avatar
  • 25.4k
18 votes
7 answers
3k views

SAT and Arithmetic Geometry

This is an agglomeration of several questions, linked by a single observation: SAT is equivalent to determining the existence of roots for a system of polynomial equations over $\mathbb{F}_2$ (note ...
Vanessa's user avatar
  • 1,368
2 votes
1 answer
130 views

Efficiency of Groebner basis for constraints of the form $(a_i x_i+b_i)(a_j x_j+b_j)$

This is based on numerical experiments in sage. Let $K$ be a ring and define the ideal where each polynomial is of the form $(a_i x_i+b_i)(a_j x_j+b_j)$ for constant $a_i,b_i,a_j,b_j$. Q1 Is it true ...
joro's user avatar
  • 25.4k
1 vote
0 answers
74 views

Reduction maximum independent set to MIS in a very dense graph

We got a reduction maximum independent set to MIS in a very dense graph, or alternatively negative monotone 2-CNF to MAX-ONEs with a formula with many clauses. Let $G$ be graph of order $n$ and ...
joro's user avatar
  • 25.4k