DIRECTED SYSTEMS LATTICES IN RECONSTRUCTABILITY ESTIMATION

Abstract

The progression from neutral systems to directed systems is natural given the identification of generating variables in the mask analysis process of the General Systems Problem Solver. Any overall system of n variables may be represented by n-1 lattices of structures, each lattice containing 1 ≤ α < n input variables and β = n - α generated variables. The structures comprising each lattice are composed of a combination of environmental input generating-input, generating-output, neutral, and generated variables. Structures which contain one or more neutral variables ate called semi-directed or s-structures, and structures which do not contain neutral variables are called fully-directed or d-structures. Any s-structure can be evaluated into two or more d-structures. Catalogues of s-structure lattices for n = 3 and 4 variables are given

INDEX TERMS:

• Reconstructability analysis
• directed systems
• reconstruction estimation
• s-structure
• d-structure
• strong cover
• weak cover