Benjamin Karer, Inga Scheler, Heike Leitte

• In order to discuss the kinds of reasoning a visualization supports and the conclusions that can be drawn within the analysiscontext, a theoretical framework is needed that enables a formal treatment of the reasoning process. Such a model needs toencompass three stages of the visualization pipeline: encoding, decoding and interpretation. The encoding details how dataare transformed into a visualization and what can be seen in the visualization. The decoding explains how humans constructgraphical contexts inside the depicted visualization and how they interpret them assigning meaning to displayed structuresaccording to a formal reasoning strategy. In the presented model, we adapt and combine theories for the different steps intoa unified formal framework such that the analysis process is modelled as an assignment of meaning to displayed structuresaccording to a formal reasoning strategy. Additionally, we propose the ConceptGraph, a combined graph-based representationof the finite-state transducers resulting from the three stages, that can be used to formalize and understand the reasoning process.We apply the new model to several visualization types and investigate reasoning strategies for various tasks.