The phenomenon of evolutionary complexification corresponds to the generation of new coding systems (defined as а codepoiesis by Marcello Barbieri). The whole process of generating novel coding statements that substantiate organizational complexification leads to an expansion of the system that incorporates externality to support newly generated complex structures. During complexifying evolution, the values are assigned to the previously unproven statements via their encoding by using new codes or rearranging the old ones. In this perspective, living systems during evolution continuously realize the proof of Gödel's theorem. In the real physical world, this realization is grounded in the irreversible reduction of the fundamental uncertainty appearing in the self-referential process of internal measurement performed by living systems. It leads to the formation of reflexive loops that establish novel interrelations between the biosystem and the external world and provide a possibility of active anticipatory transformation of externality. We propose a metamathematical framework that can account for the underlying logic of codepoiesis, outline the basic principles of the generation of new coding systems, and describe main codepoietic events in the course of progressive biological evolution. The evolutionary complexification is viewed as a metasystem transition that results in the increase of external work by the system based on the division of labor between its components.

进化复杂化现象对应于新编码系统的产生（定义为 а codepoiesis马塞洛·巴比耶里 (Marcello Barbieri)）。生成证实组织复杂化的新编码语句的整个过程导致系统的扩展，该系统包含外部性以支持新生成的复杂结构。在复杂化演化过程中，通过使用新代码或重新排列旧代码对其进行编码，将值分配给以前未经证实的语句。从这个角度来看，进化过程中的生命系统不断地实现哥德尔定理的证明。在真实的物理世界中，这种认识的基础是不可逆转地减少了生命系统执行的内部测量的自我参照过程中出现的基本不确定性。它导致自反循环的形成，在生物系统和外部世界之间建立新的相互关系，并为外部性的积极预期转变提供了可能性。我们提出了一个元数学框架，可以解释代码生成的基本逻辑，概述新编码系统生成的基本原理，并描述渐进式生物进化过程中的主要代码生成事件。进化复杂化被视为元系统过渡，导致系统基于其组件之间的分工增加外部工作。概述产生新编码系统的基本原理，并描述生物渐进进化过程中的主要代码生成事件。进化复杂化被视为元系统过渡，导致系统基于其组件之间的分工增加外部工作。概述产生新编码系统的基本原理，并描述生物渐进进化过程中的主要代码生成事件。进化复杂化被视为元系统过渡，导致系统基于其组件之间的分工增加外部工作。