What Kind of Proof Can Be Constructed following an Abductive Argumentation?

My interests focus on the comparison between the abductive argumentation supporting a conjecture and the related proof. In particular, .the purpose of my research is to show the importance of a structural analysis between them (from an abductive argumentation to a deductive proof, from an abductive argumentation to an abductive “proof”). I propose the Toulmin’s model as a tool which can be used to detect and to analyse some structural continuities and some structural gaps between an argumentation and the following proof. This analysis allows identifying in the passage from an abductive argumentation to a deductive proof, one of the possible trouble met by students in the construction of a proof.