Algorithm as Defining Dynamic Systems

This paper proposes a new view to algorithms: Algorithms as defining dynamic systems. This view extends the traditional, deterministic view that an algorithm is a step-by-step procedure with nondeterminism. As a dynamic system can be designed by a set of its defining laws, it is also desirable to design an algorithm by a (possibly nondeterministic) set of defining laws. This observation requires some changes to algorithm development. We propose a two-step approach: the first step is to design an algorithm via a set of defining laws of dynamic system. The second step is to translate these laws (written in a natural language) into a formal language such as linear logic. key words: dynamic, systems, algorithm, nondeterminisim, linear logic. An attractive feature of this view is that it enhances the readability and modifiability of the algorithm for nondeterministic problems. The remainder of this paper is structured as follows. We discuss a new way of describing algorithms in the next section. In Section 3, we present some examples. Section 4 concludes the paper.