The assumption of real-number arithmetic, which is at the basis of conventional geometric algorithms, has been seriously challenged in recent years, since digital computers do not...
: Taking as a starting point (a modification of) a weak theory of arithmetic of Jan Johannsen and Chris Pollett (connected with the hierarchy of counting functions), we introduce s...
Digital planarity is defined by digitizing Euclidean planes in the three-dimensional digital space of voxels; voxels are given either in the grid point or the grid cube model. Th...
Valentin E. Brimkov, David Coeurjolly, Reinhard Kl...
Using appropriate notation systems for proofs, cutreduction can often be rendered feasible on these notations. Explicit bounds can be given. Developing a suitable notation system ...
Under certain cardinal arithmetic assumptions, we prove that for every large enough regular cardinal, for many regular < , many stationary subsets of concentrating on cofinali...