We present various results of the last twenty years converging towards a homotopical theory of computation. This new theory is based on two crucial notions : polygraphs (introduce...
We formalize paper fold (origami) by graph rewriting. Origami construction is abstractly described by a rewriting sys), where O is the set of abstract origami’s and ary relation...
In this paper, we define labeled multigraphs with ports, a graph model which specifies connection points for nodes and allows multiple edges and loops. The dynamic evolution of th...
We develop the necessary theory in computational algebraic geometry to place Bayesian networks into the realm of algebraic statistics. We present an algebra
Rewriting queries using views is a powerful technique that has applications in query optimization, data integration, data warehousing etc. Query rewriting in relational databases ...