Mathematical Model of Natural Languages

To make computers to understand natural language we have to understand the nature and structure of natural language. This enables computers self to create a common language, whose features are similar to natural languages. Here is presented a mathematical structure, describing the emergence of compositional natural-like language with names and described results of computational experiments, showing that in this structure a society of agents in the process of communication acts creates a common language, similar to natural language and the process has features, similar to the language-learning process of children.