A Systematical Natural Language Model by Abstract Algebra

Consider over the problem of the lack of systematical model in the field of natural language processing. Suppose natural language system is a dynamic system consists of a subsystem of the finite semantic group acting on a subsystem of the language expression semigroup, the concatenation semigroup. Describe such a systematical natural language model in part. Analyze the symmetry property of natural languages. Establish the subsystem of the semantic group. Analyze the relation among the subsystems. Apply this model to the explanation for routine natural language from a new view, for example, to the explanation for the common understanding on untidy sentences, or the explanation for the principle of full interpretation. In the end, the capacity of the explanation proves the rationality of this systematical natural language model.