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This paper offers an extension of the Liskov substitution principle by means of compatible systems, i.e., right or appropriate or functional systems. The compatible systems are represented by compatible sets. The compatible sets are first defined and the new approach to the mathematical modelling of compatible systems is given. The properties of compatible systems are next presented and applied to the curriculum management in higher education. The theoretical results are exemplified by a case study that discusses the curriculum management of two academic programs of study using the information densities of optional, fundamental and specialized courses. A discussion on the systems compatibility in several fields is included and the importance of our multidisciplinary approach to compatible resources management is highlighted.

Extension of Liskov Substitution Principle and Application to Curriculum Management