One of the developing trends in programming is the logic programming associated with the implementation of tools for creating artificial intelligence. One of such programming languages is the nonprocedural declarative logic programming language Prolog. This article is dedicated to the use of recursive rules in Prolog software. The goal of this work lies in analysis of the methods for completing recursive calls in recursive rules, as well as in explication of the use of such methods on the examples of programs with recursion. The author explores the specialized literature on the topic, generalized and systematizes the data, as well as tested the programs and the progress of their implementation. Recursive rule in the Prolog software sets an infinite cycle of repetition of predicates. For completing the recursive cycle, it is necessary to set a condition within the program that would end the cycle. The article examines the variants of organizing recursions with the completion of infinite cycle. The examples used in the article allows using them as the basis for programming in language Prolog for solving similar tasks. The acquired results are valuable for further development of the use of recursive predicates in logic programming languages.