P systems and the Byzantine agreement

We first propose a modular framework for recursive composition of P systems. This modular approach provides encapsulation and information hiding, facilitating the design of P programs for complex algorithms. Using this framework, we developed a P program that solves the classical version of the Byzantine agreement problem, for N participants connected in a complete graph, according to the well known Byzantine agreement algorithm based on EIG trees. We prove the correctness of this modular composition and conclude with a list of open problems.