Linguistic Model Based On The Generative Topological Information Space

Based on the st~uctuzL~m, we propose a generative semantic model which has a topological information space generative grammar as basic rules. In this model a semantic map which is called a topological information space, is generated by the grammar,and the space can express implications and simi l a r i t i e s among concepts. In the syntax, a syntactic generative grammar is defined based on the space grammar, and a mapping from the map to the language is defined. The mapping is composed of two mappings: one is a meaning a f f ix mapping ~ which maps a conceptual area in the space to a token in the language,and the other is an operator mapping ~ which maps a generative rule in semantics to a rewriting rule in syntax. By these mappings, a derivation tree in semantics is mapped to a derivation tree in syntax, and vice versa. An algebraic system on the space is defined, and an algebraic system on the sentences is derived by the (~,~)-mappings. English wi l l be analyzed according to this model and the algebraic systems on them. Finally an information processing model is described based on the model. The information processing in a natural language is carried out in the fo l lowing steps: recognizing the inputs, parsing, interpreting, deducing, updating them, and outputting. These processes are discussed in detai ls.