We give a general reduction of lengths-of-proofs lower bounds for constant depth Frege systems in DeMorgan language augmented by a connective counting modulo a prime p (the so-called AC0[p] Frege ...

This is a preview. Log in through your library . Abstract In the game theory approach to the problem of allocating cost, the users of a facility are viewed as players in a cooperative n-person game.

The new model developed by Flatiron Institute researchers proposes that biological neurons have more control over their surroundings than previously thought, something that could be replicated in the ...

Mathematicians have developed a new mathematical model which could greatly increase the efficiency of pest control and hence significantly reduce the impact of pests on crops whilst minimizing the ...

Chemists use density functional theory (DFT) to accurately approximate the exact properties—like free energies—of molecules or materials in a reasonable amount of time. The method is widely used even ...

A new accelerator chip called 'Hiddenite' that can achieve state-of-the-art accuracy in the calculation of sparse 'hidden neural networks' with lower computational burdens has now been developed. By ...

Quantum researchers in the twenty-first century are part of an international network that requires a great deal of interaction and communication. Around one hundred publications on the topic are ...