Towards Diagrammatic Specifications of Symbolic Computation Systems
César Domínguez, Dominique Duval, Laureano Lambán, Julio Rubio · DROPS (Schloss Dagstuhl – Leibniz Center for Informatics) · 2006
The aim of this work is to present an ongoing project to formalize, in the framework of diagrammatic logic (due to Dominique Duval and Christian Lair) some data structures appearing in Sergeraert's symbolic computation systems Kenzo and EAT. More precisely, we intend to translate into the diagrammatic setting a previous work based on standard algebraic specification techniques. In particular, we give hints on the reason why an important construction (called imp construction) in the specification of the systems can be understood as a freely generating functor between suitable categories of diagrammatic realizations. Even if very partial, these positive results seem to indicate that this new kind of specification is promising in the field of symbolic computation.