In this work, we propose a computational approach to the triadic model of Peircean semiosis (meaning processes). We investigate theoretical constraints about the feasibility of simulated semiosis. These constraints, which are basic requirements for the simulation of semiosis, refer to the synthesis of irreducible triadic relations (Sign–Object–Interpretant). We examine the internal organization of the triad S–O–I, that is, the relative position of its elements and how they relate to each other. We also suggest a multi-level approach based on self-organization principles. (...) In this context, semiosis is described as an emergent process. Nevertheless, the term ‘emergence’ is often used in a very informal way in the so called ‘emergent’ computation, without clear explanations and/or definitions. In this paper, we discuss in some detail the meaning of the theoretical terms ‘emergence’ and ‘emergent’, showing how such an analysis can lead to improvements of the algorithm proposed. (shrink)