All Questions
Tagged with sat algorithms
5 questions
1
vote
0
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74
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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 ...
3
votes
1
answer
708
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Is strictly harder than NP-hard cryptography possible?
Looks like there is cryptography based on NP-hard problem, e.g. McEliece cryptosystem. The algorithm is an asymmetric encryption algorithm and is based on the hardness of decoding a general linear ...
16
votes
4
answers
1k
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Representing mathematical statements as SAT instances
The following problem (call it THEOREMS) belongs to class NP.
Input: Mathematical statement $S$ (written in some formal system such as ZFC) and positive integer $n$ written in unary.
Output: "Yes" if ...
1
vote
1
answer
310
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Counterexamples for this algorithm for recognizing lexicographic product of graphs?
Found a possible reduction from recognizing lexicographic product of graphs to 2SAT
(since 2SAT is polynomial, the algorithm is polynomial).
Can't prove completeness of the algorithm and since it is ...
1
vote
0
answers
89
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Deciding / Approximating Parity of Small Depth Decision Trees
Let C be a circuit such that:
C: $\{0,1\}^n$ to $\{0,1\}$
the top most gate is a parity gate
all the inputs to the parity gate are small depth decision trees
there is a total of $2^{ log^k n}$ ...