Time machines, quantum mechanics, and word of God

I claim that the basic ideas of Judea-Christian (and apparently Muslim, too) religion of tbe holy book and God acting in the universe has a consistent and beautiful scientific explanation (in the assumption of highly capable reasonable life in cosmos and of possibility of time travel). This explanation also endorses Shumerian legends about annuaks as […]

Improving NP-complete algorithms

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 NP-complete problem. Suppose our NP-complete algorithm is fixed. How to improve it’s ability […]

[ERRONEOUS] A proof of P=NP using a Merkle tree – a new version

I’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 some errors corrected: p=np-merkle.pdf In more details (and some errors corrected): Yet a […]

[ERRONEOUS] A proof of P=NP using a Merkle tree

I 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 size of hashes themselves growing logarithmically), the size of the data and time […]