Suppose we have an (efficient) NP-complete algorithm. I remind that proving a provable theorem isn’t an NP problem, because there are theorems whose shortest proof is of super-exponential length. However, finding a proof that is below a given “threshold” length is an…

read moreI’ve produced a short and much elementary proof of P=NP (without an efficient algorithm presented). I sent it to a reputable CS journal and insofar there were no errors noticed by the editor. Here is an updated version of my proof with…

read moreI denote s(X) the size of data X (in bits). I denote execution time of an algorithm A as t(A,X). Using a Merkle tree technology similar to one of the Cartesi crypto (but with a true random number generator, and possibly the…

read moreLemme model what happens if somebody finds an efficient NP-complete algorithm. In layman terms (you are now studying things like this in the university, so you will soon know the formulas) an efficient NP-complete algorithm is: an algorithm that reaches any given…

read moreI’ve found (and proved) an algorithm that is NP-complete in the assumption that P=NP. In other words, if P=NP has a positive solution, my algorithm is its solution. I was kinda afraid if I already have almost solved P=NP as an easy…

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