Apparently, hyper-binary resolution is not easy. Armin Biere , the main author of PrecoSat has had far more experience and time than me to perfect his solver. Let us convert our xor-clause into regular clauses:. So, variable v1 can be removed from the problem along with the xor clause, and the value of variable v1 needs only to be calculated after the solving has finished. If it is complete, however, then hyper-binary resolution is once and for all fast and efficient. The second algorithm just needs a bit of imagination and a will to draw graphs on a piece of paper. The great thing about blocked clause elimination, is that it can achieve this automatically, without the use of xor-clauses!
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It simply added a good number though, luckily, not all possible binary clauses that were totally redundant. The same is true for resolving 1 and 4this time with v2 and -v2.
Wonderings of a SAT geek
You might enjoy this plot of PrecoSat vs. I was, in fact, right.
Which can be coded down as the clause:. And, while we are at it, we can of course remove all redundant information like the one I presented above. Let us convert our xor-clause into regular clauses:. End of next week, I will post the whole revision history of CryptoMiniSat to Gitoriousso everyone can see how certain options evolved over time — my commit messages are usually overly long ; Then, bugzilla, mailing lists, forums and the rest will hopefully garner some steam, and we can start rolling.
Apparently, hyper-binary resolution is not easy.
Thus, dependent variable removal can potentially remove more of these XOR-s than blocked clause elimination. This is normal, though I only hope he might notice the precosa of effort that was put into CryptoMiniSat. Dependent variable removal can be used in conjunction with other methods that treat xor caluses, that can lead to potentially very long XOR chains.
A leads to C. Resolving 1 with 3 gives tautology since the result of the resolution. There is only one thing to understand now: They all worked just for the fun of being part of the project.
PrecoSAT – Mathematical software – swMATH
A leads to B. We’ll assume you’re ok with this, but you can opt-out if you wish. The idea is that ptecosat that variable only appears there, the XOR can always be satisfied. The way these kind of new binary clauses like -a V d could be found has been done before as follows:.
One can say that this algorithm works perfectly.
A leads to B B leads to C. The trick of adding binary clauses is, then, to add as little as possible to achieve maximal graph connectivity.
CiteSeerX — Lingeling, Plingeling, PicoSAT and PrecoSAT at SAT Race
So, they must have, and probably already published it, or, the idea must be really bad, missing elements or is incomplete. My first reaction was of course: I think it makes sense even for those unfamiliar with the code. Finally, why am I dumb? So, I believe there is point in using both.
We’ll assume you’re ok with this, but you can opt-out if you wish.