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SAT stands for the Boolean satisfiability problem.
2
votes
How the Number of Clauses Change the Complexity of Worst Case k-SAT ?
I think that your question is already solved in On the Complexity of K-SAT by Russell Impagliazzo and Ramamohan Paturi.
And the answer, as anticipated by JeffE is yes. …
16
votes
Direct SAT to 3-SAT reduction
Again, the only way to satisfy both of these clauses is to have at least one of z1 and z2 be true, thus satisfying C
If the clause has three literals, C={z1, z2, z3}, just copy C into the 3-SAT instance …
18
votes
1
answer
1k
views
Ranking the Difficulty of NP Hard Problems in Practice
The intuition is that one problem P1 can be expected to be harder than P2 if its 3-SAT encoding is nearer R (which is known to be near 4.2). … There are a number of counter arguments, among them:
The Phase Transition of 3-SAT CNF formula applies to random formulae. …