03296nam a22005295i 4500 978-3-031-66040-5 DE-He213 20251030113108.0 cr nn 008mamaa 240927s2024 sz | s |||| 0|eng d 9783031660405 978-3-031-66040-5 10.1007/978-3-031-66040-5 doi Q342 UYQ bicssc COM004000 bisacsh UYQ thema Algebraic Quasi—Fractal Logic of Smart Systems [electronic resource] : Theory and Practice / edited by Natalia Serdyukova, Vladimir Serdyukov. 1st ed. 2024. Cham : Springer International Publishing : Imprint: Springer, 2024. XVII, 269 p. 62 illus., 36 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Intelligent Systems Reference Library, 1868-4408 ; 251 Quasi fractal Propositional Algebra Digitalization of Propositional Algebra and NPC -- Quasi fractal Temporal Topological Logic with Time Parameter over Topological Space -- Application to Brownian Motion. This book is a continuation of the Algebraic Formalization of Smart Systems. Theory and Practice, 2018, and Algebraic Identification of Smart Systems. Theory and Practice, 2021. Algebraic logic refers to the connection between Boolean algebra and classical propositional calculus. This connection was discovered by George Boole and then developed by other mathematicians, such as C. S. Peirce and Ernst Schroeder. This trend culminated in the Lindenbaum-Tarski algebras. Here we try to connect algebraic logic and quasi-fractal technique, based on algebraic formalization of smart systems to get facts about smart systems functioning and connections of their qualitative and quantitative indicators. Basic techniques we used: algebraic quasi-fractal systems, Erdős–Rényi algorithm, a notion of –giant component of an algebraic system, fixed point theorem, purities, i.e., embeddings preserving -property of an algebraic system. The book is aimed for all interested in these issues. Computational intelligence. 64052 Artificial intelligence. 58441 Computational Intelligence. 64052 Artificial Intelligence. 58441 Serdyukova, Natalia. editor. edt http://id.loc.gov/vocabulary/relators/edt 85075 Serdyukov, Vladimir. editor. edt http://id.loc.gov/vocabulary/relators/edt 85076 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031660399 Printed edition: 9783031660412 Printed edition: 9783031660429 Intelligent Systems Reference Library, 1868-4408 ; 251 67034 https://doi.org/10.1007/978-3-031-66040-5 ZDB-2-INR ZDB-2-SXIT 63745 63745