ON MINIMAL REALIZATION OF IF-LANGUAGES: A CATEGORICAL APPROACH
K Yadav Vijay, Vinay Gautam, S. P. Tiwari · Iranian journal of fuzzy systems · 2016
The purpose of this work is to introduce and study the concept of minimal deterministic automaton with IF-outputs which realizes the given IF-language. Among two methods for construction of such automaton pre- sented here, one is based on Myhill-Nerode's theory while the other is based on derivatives of the given IF-language. Meanwhile, the categories of deter- ministic automata with IF-outputs and IF-languages alongwith a functorial relationship between them are introduced