Attribute exploration of gene regulatory processes This thesis aims at the logical analysis of discrete processes in particular of such generated by gene regulatory networks. States transitions and operators from temporal logics are expressed in the language of Formal Concept Analysis. By the attribute exploration algorithm an expert or a computer program is enabled to validate a minimal and complete set of implications e.g. by comparison of predictions derived from literature with observed data. Here these rules represent temporal dependencies within gene regulatory networks including coexpression of genes reachability of states invariants or possible causal relationships. This new approach is embedded into the theory of universal coalgebras particularly automata Kripke structures and Labelled Transition Systems. A comparison with the temporal expressivity of Description Logics is made. The main theoretical results concern the integration of background knowledge into the successive exploration of the defined data structures (formal contexts).