in: Advanced Research in Mathematics, Technology, and SocialSciences, İSLAMOĞLU EBRUCAN, Editor, BIDGE Publications, Ankara, pp.4-20, 2024
This chapter is first done on the enrichment of formal logic on a monoid. Here, new features, definitions, lemmas and propositions gained with the enrichment of logic are examined. Emphasis is placed on enriched structures. Additional developments in the usage areas of known structures are discussed. The connections of algebraic structures with power sets are examined. The main principle that algebraic structures add to the science of logic is discussed. The existence of new logical structures is investigated. The results of this new logical algorithm are evaluated. Comparisons are made with previously known algorithms.