We show a new and constructive proof of the two-squares theorem, based on a somewhat unusual, but very effective, way of rewriting the so-called extended Euclid’s algorithm. Rat...
Abstract. In this paper, we present our initial design and implementation of a declarative network verifier (DNV). DNV utilizes theorem proving, a well established verification tec...
Abstract. In this article we introduce (combinatorial) multi{color discrepancy and generalize some classical results from 2{color discrepancy theory to ccolors. We give a recursive...
We describe a construction of the real numbers carried out in the Coq proof assistant. The basis is a set of axioms for the constructive real numbers as used in the FTA (Fundamenta...
Computational origami is the computer assisted study of mathematical and computational aspects of origami. An origami is constructed by a finite sequence of fold steps, each consi...
Tetsuo Ida, Mircea Marin, Hidekazu Takahashi, Fado...