Questions tagged [3-sat]
3SAT is a famous special case of the boolean satisfiability problem (SAT).
199 questions
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Reduction from NAE-4SAT to 3SAT
I need to prove the following:
Show that there exists a polynomial reduction $f:\{0,1\}^*\to\{0,1\}^*$ from NAE-4SAT such that for all $x\in\{0,1\}^*,𝑥 \in \text{NAE-4SAT} \iff 𝑓(𝑥) \in \text{3SAT}...
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Minimum cycles In UNSAT X3SAT Instance
Exactly 1 in 3 SAT (X3SAT) is a variant of the Boolean Satisfiability problem. X3SAT is NP-Complete even if it is monotone (all literals are positive) and linear (two clauses have no more than one ...
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Identifying the DMAC Literals Representing Internal Processes (Message Schedule, T1, T2, etc.) in SHA-256 CNF Conversion Using CGen Tool
When using the CGen tool to convert the SHA-256 algorithm into Conjunctive Normal Form (CNF), the input and output bits are represented by DMAC literals. However, I am specifically interested in ...
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how to characterize #3SAT solver
I am experimenting with a method to solve #k-SAT problems. I am generating random 3SAT problems in $n$ variables with approximately $m=4.3n$ clauses. I am finding ...
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Satisfiability to graph isomorphism reduction
$\text{GI} = \{\langle A, B \rangle∶ \text{ graph A is isomorphic to graph B} \}$
I want to reduce from, $\text{3SAT}\leq_p \text{GI}.$
I know how to reduce from GI to SAT: Whenever we see two ...
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Is this reduction from Exact 1-in-3-SAT to Subset Sum using Horowitz and Sahni's algorithm known?
I'm exploring a reduction from Exact 1-in-3-SAT (x3SAT) to the Subset Sum problem that allows the use of the Horowitz and Sahni algorithm, achieving a time complexity of
$\mathcal{O^*}(2^{𝑛/2})$ for ...
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Turing machine $\textbf{M}$, which ran in polynomial time, with an oracle
My question is I required to prove that there exists a deterministic Turing machine $\textbf{M}$, which ran in polynomial time, with an oracle approach to the $\texttt{SAT}$ language, such that: Given ...
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Is it possible there exists a reduction that satisfies conditions of reduction from $\texttt{CKT-SAT}$ to $\texttt{3SAT}?$
I am following the Barak and Arora book. I have asked this question regarding reduction from $\texttt{CKT-SAT}$ to $\texttt{3SAT}.$
Is it possible to show that there exists a reduction that satisfies ...
user172436
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Reduction from $\texttt{CKT-SAT}$ to $\texttt{3SAT}$
I am following the Barak and Arora book, in circuit chapter, they use direct reduction from $\texttt{CKT-SAT}$ to $\texttt{3SAT}$ directly without any clue.
How to construct an explicit reduction ...
user172436
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Is Monotone Not-Exactly-1 3SAT solvable in polynomial time?
I'm studying different variants of the SAT problem, and I came across the Monotone Not-Exactly-1 3SAT problem.
Specifically, this problem involves determining whether a Boolean formula in CNF, where ...
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Why can't we prove SAT is NP complete just using the Tseytin Transformation?
The Cook Levin theorem proves SAT is NP-Complete, but it is fairly complicated, non-constructive and uses a Turing machine.
I am confused as to why just the Tseytin Transformation does not imply/prove ...
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is 3-SAT ∈ NTIME(n^3)?
I'm struggling to understand the time complexity of 3-SAT using a non-deterministic Turing machine, as well as the relationship between NTIME and DTIME
For example, let's say we have 2 literals. My ...
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Limited constant degree HamCycle
Let $G=(V,E)$ be a directed graph. I am interested in a "relaxed" version of the HamCycle problem.
In my first case, the degree of each vertex is exactly 6, such that: 3 are outgoing edges ...
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Why is 3-SAT used for proving NP-Completeness so often?
I was wondering why 3-SAT is often chosen as the candidate problem from which one reduces from to prove the NP-completeness of another algorithm. I've seen it justified in places such as K&T by
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Tseitin formula on 2-connected graph
How can we prove that for $\\\\$ every $\\\\$ 2-connected graph G with an odd number of vertices, the unsatisfiable Tseitin formula for it is minimally unsatisfiable, that is, if we remove even a ...
user167124