All Questions
4 questions with no upvoted or accepted answers
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Problems with proof of NP-completness of SAT following Cooks original paper
I am currently in the process of trying to understand the original proof of NP-completeness of SAT given in the seminal paper by Cook [COOK71] and have struggled with a few of the details of the proof ...
2
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Is Max-2SAT with exactly 3 occurrences per variable APX-hard?
The Max-2SAT problem asks if at least k clauses of a 2CNF formula can be satisfied.
The Max-2SAT(at-most-3) problem is the restriction in which every variable occurs in
at most 3 clauses (counting ...
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The parameterized complexity of Weighted-CNF-SAT parameterized by the number of clauses
What is the parameterized complexity of Weighted-CNF-SAT, when parameterized by the number of clauses?
Input: A CNF formula $\phi$ with $m$ clauses and $n$ variables, and an integer $k$.
Parameter: $m$...
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Finding a Polynomial Time algorithm for the 3-SAT Problem
Let us consider m clauses containing 3 variables each i.e. A1,A2,A3...Am . Let the total literals in consideration be n. Then each clause :
Ai = (xr $\lor$ xs $\lor$ xt)
where 1 $\le$ r,s,t $\le$n and ...