Object Calculus in the System–Object Method of Knowledge Representation

Abstract

In this work, methods of formalization of the Unit–Function–Object system approach and the system–object method of representation of knowledge based on this approach are considered. The expediency of applying some ideas of the object calculation of Abadi–Cardeli and the pattern theory of Grenander for further formalization is substantiated. By analogy with the above algebraic apparatus, the calculus of special objects that represent elements of system–object models, which includes graphic formulism and basic operations with objects, has been developed. It is shown that using the proposed formal-semantic alphabet of special objects, it is possible to simplify the procedure for decomposition of a complex system on the basis of the basic hierarchy of classes of systemic connections. A substantiation of a number of system-wide regularities is given.