Abstract. Linguistic data formats (LDF) became, over the years, more and more complex and heterogeneous due to the diversity of linguistic needs. Communication between these linguistic data formats is impossible since they are increasingly multiplatform and multi-providers. LDF suffer from several communication issues. Therefore, they have to face several interoperability issues in order to guarantee consistency and avoid redundancy. In an interoperability resolution context, we establish a method based on algebraic specifications to resolve interoperability among data formats. The proposed categorical method consists in constructing a unified lan-guage. In order to compose this unified language, we apply the co-limit algebraic specifications category for each data format. With this method, we establish a complex grid between existing data formats allowing the mapping to the unifier using algebraic specification. Then, we apply our approach on Arabic lexical data. We experiment our approach using Specware software.