Formalizing Some “Small” Finite Models of Projective Geometry in Coq

International audienceWe study two different descriptions of incidence projective geometry: a synthetic, mathematics-oriented one and a more practical, computation-oriented one, based on the combinatorial concept of rank of a set of points. Using both axiom systems, we prove that some specific finite planes (resp. spaces) verify the axioms of projective plane (resp. space) geometry and Desargues' property. It requires using repeated case analysis on all variables of some finite inductive data-types and leads to numerous (sub-)goals in the Coq proof assistant. We thus investigate to what extend Coq can deal with such a combinatorial explosion in the number of cases to handle. We propose some easy-to-implement but relevant proof optimizations which, combined together, lead to an efficient way to deal with such large proofs

Coordinating Public E-services : Investigating Mechanisms and Practices in a Government Agency

Coordination is an important enabler when creating and managing coherent, integrated, secure and smart public electronic services (e-services). With an increased demand for such services, coordination as an internal organizational phenomenon is becoming increasingly important. Based on a qualitative case study, and informed by coordination theory, this paper investigates two different theoretical views applied on internal e-service coordination within a government agency in Sweden. At the outset, the agency is seeking one generic way to coordinate the current heterogeneous and fragmented internal e-service landscape in a more efficient way. Hence, our aim also includes investigating the prerequisites and potential for this type of coordination. We conduct this study in two stages. First, we apply a well-established theoretical lens from organizational theory on a set of coordination efforts, thereby perceiving coordination as a planned and anticipated activity based on a fixed set of mechanisms. Second, we apply a lens of coordinating as emergent practice, which allows for an in-depth investigation of more flexible and dynamic aspects of coordinating activities in daily work. By combining these two views, we argue that this approach can facilitate and increase understanding of the dynamics and flexibility needed to understand the type of coordination needed in public e-service contexts. This also implies that there is no single best practice or ‘one-size-fits-all’ approach to internal e-service coordination. Instead, organizations need to acknowledge the need for combined multi-dimensional views revealing the inherent complexity of coordination; as planned as well as emerging activities