Аннотация:This review provides an overview of methods for solving recognition problems developed by the eminent Soviet and Russian academic and scientist, Yu.I. Zhuravlev, together with his students and those that followed him. Zhuravlev was the leader of a prominent scientific school associated with the widespread use of various combinatorial-logical and algebraic methods for in the development of methods for solving recognition tasks. The school’s contributions lie in formulating a universal mathematical lexicon for describing recognition algorithms and an algebraic toolkit tailored for the synthesis of effective algorithms for solving learning problems based on precedents. Within the framework of the scientific school, researchers have devised various recognition methodologies, which have been successfully used to solve numerous applied problems.