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A new theoretical and methodological approach of the
processing of information is presented. On line modifications in
the structure of information, such as stretched, broken, re-
unified, or stuck pieces of information can be characterized
from linguistic markers. For that two kinds of detachability
from the situation are analyzed in a cognitive interpretation of
Culioli’s enunciative model. On one hand, the detachability
linked to starting terms has for criterion the anaphora. It marks
the categorization of external aggregates of information, their
internalization, re-inscribing them at a subjective level, and their
externalization, re-inscribing them in the spatio temporal
environment. On the other hand, the detachability linked to
modal terms marks a strategic reorganization of information.
Both kinds of detachability are modelled by Culioli’s diagram
involving different levels between parameters S (subjective
space) and T (temporal space). The passages from one of these
levels to another follow specific routes with loops and strange
loops. This paper analyzes the modification of information at
the highest subjective level in the verbal protocol of a 10-year-
old solving the Tower of Hanoi puzzle for the first time. The
generalization to other tasks and to interaction between
intelligent agents results from the interactive characteristics of
linguistic markers.