A closed information system is an information system such that its environment does not change it, and there is an information transfer from it to its environment and from its environment to it. In this paper two formalisms (information query systems and conceptual configuration systems) for abstract unified modelling of the artifacts (concept sketches and models) of the conceptual design of closed information systems, early phase of information systems design process, are proposed. Information query systems defines the abstract unified information model for the artifacts, based on such general concepts as state, information query and answer. Conceptual configuration systems are a formalism for conceptual modelling of information query systems. They defines the abstract unified conceptual model for the artifacts. The basic definitions of the theory of conceptual configuration systems are given. These systems were demonstrated to allow to model both typical and new kinds of ontological elements. The classification of ontological elements based on such systems is described. A language of conceptual configuration systems is defined.