Complex biosystems exhibit ordered, functional, self-organized features. However, a universal framework for exploring their logical paradigms and dynamic characteristics remains lacking. Here we describe BioLogical, a user-friendly R package, designed for analyzing properties of biosystems. We demonstrate its versatile capacities of deciphering multi-valued logical paradigms, calculating order parameters, and simulating system dynamic, even multi-valued Quine-McCluskey and logical satisfiability analysis. The open-source software is available at https://github.com/YuxiangYao/BioLogical.