We show that the logical theory QLA proves the Cayley–Hamilton theorem from the Steinitz exchange theorem together with a strengthening of the linear independence principle. Sin...
We show that Csanky’s fast parallel algorithm for computing the characteristic polynomial of a matrix can be formalized in the logical theory LAP, and can be proved correct in LA...
Accounting for human activity through physics does not require anything more than a switch of mind. Objectivity needs first to be recognized as an epistemological principle that s...
We investigate the complexity of various combinatorial theorems about linear and partial orders, from the points of view of computability theory and reverse mathematics. We focus ...
Over the last fifty years, there have been numerous efforts to develop from first principles a comprehensive discrete formulation of geometric physics, including Whitney’s ge...
Antonio DiCarlo, Franco Milicchio, Alberto Paoluzz...